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November 27, 2021 09:52
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Lab_7_ecdf_bootstrap.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "Lab_7_ecdf_bootstrap.ipynb", | |
"provenance": [], | |
"authorship_tag": "ABX9TyNVCunxxuHZ1LqbpyBIOq86", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/jamm1985/2c526300936afa9ffaf472dacc3b440d/lab_7_ecdf_bootstrap.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Rnfas2U1y8lv" | |
}, | |
"source": [ | |
"Видео лабораторной: https://youtu.be/dXR2V-_F3yg\n", | |
"\n", | |
"TG: https://t.me/data_science_news" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "_yK_KITOzfSm" | |
}, | |
"source": [ | |
"\n", | |
"\n", | |
"---\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "gIA4nTRTgf5Q", | |
"outputId": "4e1705dc-f8cc-4e09-f232-917992f4b1d1" | |
}, | |
"source": [ | |
"%pip install scipy==1.7.2" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Requirement already satisfied: scipy==1.7.2 in /usr/local/lib/python3.7/dist-packages (1.7.2)\n", | |
"Requirement already satisfied: numpy<1.23.0,>=1.16.5 in /usr/local/lib/python3.7/dist-packages (from scipy==1.7.2) (1.19.5)\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "ZsOB8SxqcJNy" | |
}, | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pylab as plt\n", | |
"from scipy.stats import norm\n", | |
"from scipy.stats import bootstrap\n", | |
"from statsmodels.distributions.empirical_distribution import ECDF\n", | |
"from statsmodels.distributions.empirical_distribution import _conf_set\n", | |
"\n", | |
"plt.rcParams['figure.figsize'] = [12, 8]" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Uy4NkEfCculF" | |
}, | |
"source": [ | |
"## Выборка (sample)\n", | |
"\n", | |
"$X_1, X_2, ... , X_n$ $\\sim$ $N(\\mu, \\sigma^2)$, \n", | |
"\n", | |
"где \n", | |
"\n", | |
"$n=\\{100,1000\\}$, $\\mu=165$, $\\sigma^2=100$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "l663Qc-WcuLW" | |
}, | |
"source": [ | |
"mu=165\n", | |
"sigma=10\n", | |
"rv_norm = norm(mu, sigma)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "e3LuTYIZcpo3", | |
"outputId": "89e8cf7c-a165-4856-f83d-4195f7abe237" | |
}, | |
"source": [ | |
"x = np.linspace(0,330,1000)\n", | |
"plt.plot(x,rv_norm.pdf(x))\n", | |
"plt.ylabel('PDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV $\\\\mu=165, \\\\sigma^2=100$')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 119 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "PeU0sDgiDODa", | |
"outputId": "cda93dd8-267a-476f-a7d5-74f83cc7e029" | |
}, | |
"source": [ | |
"plt.plot(x,rv_norm.cdf(x))\n", | |
"plt.ylabel('CDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV $\\\\mu=165, \\\\sigma^2=100$')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 120 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "lCUdiPQ8Dy0g", | |
"outputId": "922a8742-7a4f-4d49-c395-204adb006824" | |
}, | |
"source": [ | |
"sample_100 = rv_norm.rvs(100)\n", | |
"plt.hist(sample_100, bins=10)\n", | |
"plt.ylabel('Frequency', fontsize = 15)\n", | |
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=100)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 121 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "c2CZbVEKWKZ0", | |
"outputId": "18a54498-d68d-46d5-8a89-26786a9161f1" | |
}, | |
"source": [ | |
"sample_1000 = rv_norm.rvs(1000)\n", | |
"plt.hist(sample_1000, bins=30)\n", | |
"plt.ylabel('Frequency', fontsize = 15)\n", | |
"plt.xlabel('Normal RV sample (N=1000)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=1000)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 122 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "l_8s8qxWFUhQ" | |
}, | |
"source": [ | |
"## ECDF\n", | |
"\n", | |
"" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "H9xeYV_hEv8S" | |
}, | |
"source": [ | |
"def ecdf_castom(data):\n", | |
" \"\"\" Compute ECDF \"\"\"\n", | |
" x = np.sort(data)\n", | |
" n = x.size\n", | |
" y = np.arange(1, n+1) / n\n", | |
" return(x,y)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "u0OyNZshJZa8", | |
"outputId": "4219f654-8787-4a6d-bd6c-2516b4a10cf7" | |
}, | |
"source": [ | |
"x_castom, y_castom = ecdf_castom(sample_100)\n", | |
"plt.plot(x_castom, y_castom, label='ECDF')\n", | |
"plt.plot(x_castom, rv_norm.cdf(x_castom), label='True CDF')\n", | |
"plt.legend(fontsize=15)\n", | |
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=100)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 124 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "RWd8B6gkJdE6" | |
}, | |
"source": [ | |
" #from statsmodels.distributions.empirical_distribution import ECDF" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "FPtCy-7bPee6" | |
}, | |
"source": [ | |
"Код здесь: https://www.statsmodels.org/dev/_modules/statsmodels/distributions/empirical_distribution.html" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "4IupsjhXLBjt" | |
}, | |
"source": [ | |
"ecdf = ECDF(sample_100)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "wedf7SfLKuW9", | |
"outputId": "e83df8d3-35b3-418d-a40c-44cded344166" | |
}, | |
"source": [ | |
"y_sm_ecdf = ecdf(sample_100)\n", | |
"plt.plot(np.sort(sample_100), np.sort(y_sm_ecdf), label='ECDF')\n", | |
"plt.plot(np.sort(sample_100), rv_norm.cdf(np.sort(sample_100)), label='True CDF')\n", | |
"plt.legend(fontsize=15)\n", | |
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=100)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 126 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "sIvt14uyWVZC", | |
"outputId": "8252e3ed-20bc-45dc-bacf-d73e7e17f06a" | |
}, | |
"source": [ | |
"ecdf_1000 = ECDF(sample_1000)\n", | |
"y_sm_ecdf_1000 = ecdf_1000(sample_1000)\n", | |
"plt.plot(np.sort(sample_1000), np.sort(y_sm_ecdf_1000), label='ECDF')\n", | |
"plt.plot(np.sort(sample_1000), rv_norm.cdf(np.sort(sample_1000)), label='True CDF')\n", | |
"plt.legend(fontsize=15)\n", | |
"plt.xlabel('Normal RV sample (N=1000)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=1000)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 127 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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UWlpqGZak7aWkAMY9Bp/eA4U5FHccwH/iJ/Pf+Rksy1/LEb2a02OHRhzSoxVdWqVHnVaKXO1qKO9eA0smR/PerXeFw/5WpS+ZmZn5i0swVD7YVlBQwIknnrjBDOzAgQO55ZZbWLhwIR06dPjJ7w+q4Mz3MAw3Ghs4cCC33377BmOWYEnaDkoKYNy/1xXgFdDpIL7u/jvOeh+W5q1l0M6N+XW/HenXeeOld1J9ZkuJUKtWrbbq+1asWAFAz549N3l9wYIFmyzCmZmZAMyfP5+uXbtu1Xt/Jzs7e6P83y2ZkCRtJ+Vl8MVTVHz4F2IFy1jecl/G9riLd1a3552Xl5CRnsxrF/Wjd7smUSeVaqTaVYSreEY2apuamU1JSaGkpGSDsVWrVm3wdbNmzQB46623Nlmmu3Xrtsn3y8rKokGDBgwbNoxBgwZtbWxWrVrF+PHjufTSS7f6NSRJ2yAMYdZwwveuJ1g+nQkVXbm99ALGz+8O8yE1cTnnH7gTv91vJzLSk6NOK9VYtasI1wNt27YlPz+f7Ozs72dw33vvvQ3u2WeffUhNTWXRokUb7Eu8OampqZx//vk8+OCD/PrXv95oH+Pc3FymT5/OPvvs85OvUVFRwWWXXUZ5eflG+whLkraDJZMpH/Zn4nM+YnFsB24quZSvGu7Pifu355ZdWtOqUQpN0xKrZBmcVNdZhGuYwYMHk5qayjnnnMPll1/OnDlzeOihhza4p0mTJgwZMoRLLrmEefPmccABB1BRUcHMmTMZMWIEr7766k++/q233srnn39Ov379uOyyy+jXrx8AY8eO5d577+Waa67ZoAh/9dVXrFmzhuLiYmbOnMnjjz/O+PHjefjhhzfYQ1iSVM2KcmHEXwjHPUYBDfh76ZlMavl/HH5gBx7cfydiMYuv9EtZhGuYFi1a8PLLL3PFFVdw7LHH0rdvX5555pmNZm+vuuoq2rRpwz/+8Q/uvvtuUlJS6Nq1KyeffPLPvn5qairDhw/n3nvv5amnnuJvf6tcbtKzZ0+uuuoqzj///A3uP/300wFIS0ujbdu2HHDAATz00EPstttuVfhTS5J+UhjCl88Svn8DYUEOT5QN4pm0M7jsuD0ZsusOUaeTarVgU0//bw9ZWVnh+PHjf/L69OnT2XnnnbdjIm1v/juWpM1YOpXSNy4jMXssXyd05/KCM+m1x/4MObonyQkegCFtqSAIJoRhuNET/c4IS5JU05SVwMd3UzHqLvIrUrmt7Dw+STyEYw9sx9WDu0edTqozLMKSJNUk2RPh9Ytg2TQ+ThnIreVn8sDvBnFHy4Y+ACdVMYuwJEk1QWkRjLwNPruXktSWXJ98Lc/n7sKfDuvuKXBSNbEIS5IUtYXj4dXzIWcW7H4Wp80+nIWFifzvnF4c0MXT4KTqEos6gCRJ9VZ5GYy8Hf59CGFZMTMPfYoL885i/JJyTt2zPQd2zXA5hFSNavSMcBiG/gKoo6LarUSSaoxVc+GV82DBWGbvcDi/XnYK816PkZ68gt8P6MwF/XeKOqFU59XYIpyYmEhRURFpaWlRR1E1KCoqIjExMeoYkhSNL5+Dt6+gArii7Pe8Mmdf2jZN5R9HduWgnVvRKMXfj9L2UGOLcMuWLb8/Zjg1NdWZ4ToiDEOKiorIzs6mVatWUceRpO2rtAjeuQImPUV5u314oOmVvPJ5MXee0Itj+2SSGHfForQ91dgi3KhRIwAWLVpEaWlpxGlUlRITE2nVqtX3/44lqV5YMQtePAuWTiHc/woOnrAPs78p5oCuGZyY1S7qdFK9VGOLMFSWYcuSJKnWm/oqvH4xxBPJOeZpzhjVmNkr8zh7345cf2SPqNNJ9VaNLsKSJNVq5aXw3vUw9kFouwdlx/2Ha95axvTFS7n7xN04tk8m8ZhL/6SoWIQlSaoOhSsrl0LMGQV7XcjXva7gkv9NY8bSfI7p3Ybj+7aNOqFU71mEJUmqakunwXOnQt5iZu93F7cu7M2H944lHgt4+Fd9OaSHDwtLNYFFWJKkqvT12/DKeYRJDXlwx3u4Y3gjWjRczTn9duSY3m3YrV2TqBNKWsciLElSVQhDGHUXjLiV0tZ9OHftZYycksCgnVty76m7k5oUjzqhpB+xCEuStK3KSuDNP8CXzzKhyaGcNvdU1pLATUf35Mx9OrgXvlRDWYQlSdoWRbnwwq9gzij+FZ7M35cczUlZ7Th73x3p0cYtQKWazCIsSdLWyp1P6ZMnEFv5LXen/ZEHVmbx5G/2ZP8uGVEnk7QFLMKSJG2NJVOoePI4igryOb/kauYl9eXxs3e1BEu1iEVYkqRfav5YeOZE8suTOalkCL876UiO3q2Na4GlWsYiLEnSLzFrODz/K8L0HTi36Gp26LIjx/TOjDqVpK0QizqAJEm1xtRX4ZlToHknPt7vST5f1ZAje7WJOpWkrWQRliRpS0z4H7x0DmT25fmeD3LOS/NITohxUPeWUSeTtJUswpIkbc6n/6rcJ7jTQCb2/w9Xvz2f1MQ4r13Uj6YNkqJOJ2kruUZYkqSfEoYw4i8w6k7oeRzZA//JdU99RVpSnE+uHkjjtMSoE0raBhZhSZI2JQxh+BD49J/M7XA8rza+knvu/IS0pDj3ntrHEizVARZhSZJ+LAzh/evhs3t5KTiEK2f8H8ycTWaTVC4a0JmDdm4VdUJJVcAiLEnS+sIQ3r8BPruXt1OP4o7Ss3j5d1n0bNOI5IR41OkkVSEflpMkaX0jb4PP/sXbyUdw0apTuHhQV3Zv39QSLNVBzghLkvSdj/8OH93O8JRDubLgDB751e4c0rN11KkkVRNnhCVJAko/vQ8+uImhwf78Lu9M7jixtyVYquOcEZYk1WvlFSETXr6bPafewjvle/JwxpW8fFxvdm3bOOpokqqZRViSVC/lF5dy34hZrB3/FEPK7+PzxD1odtoTvNalNUEQRB1P0nZgEZYk1TuvTcrm+ten0K90NA8kPsDylvuy2zkvkZzSIOpokrYj1whLkuqVp8fO49Lnv+DgtFk8kPIAsczdyfitJViqjyzCkqR6Y+zsHG55axpHtVrJ3eV/I9a0A5z+IiRZgqX6yKURkqQ6b21ZOW99uZib35pGn/Q8/lF2C0FSQzjjFUhrFnU8SRGxCEuS6rxrX5nCyxMX0qd5GU8k3k5CcTGcNQyatIs6mqQIuTRCklSnlZRVMHz6UgbsmMYrjf9J4ppsOO0FaLlz1NEkRcwZYUlSnfbapGzyi9ZyU+m9BDlfwCnPQPu9o44lqQawCEuS6rRJC3IZkvQU7VeMgiPuhm6HRR1JUg3h0ghJUp316KjZpEx8jDNjQ2Hvi2CP30YdSVIN4oywJKlOevPLRXw29Bn+nfQEpZ0Hk3jILVFHklTDWIQlSXXK0rxi7h8xiy/GfcJzSfcRtN6VxJP+A7F41NEk1TAWYUlSnZGzZi1H3fsJSYVLeTP1LpJTmxKc9rwHZkjaJIuwJKlOmLEkn3P+O461hfl81PoBUvOL4PRXodEOUUeTVENt0cNyQRAMDoJgRhAEs4IguGYT19sHQTAiCIJJQRB8FQTB4VUfVZKkn/bgyFksWl3IiC4vkrpyGpzwH2i9a9SxJNVgmy3CQRDEgfuBw4AewKlBEPT40W3XAS+EYdgHOAV4oKqDSpL0U/KKS/nw62Xc3nI4zea+DYNugq6HRh1LUg23JTPCewKzwjCcHYZhCfAccMyP7gmBRus+bwwsqrqIkiT9vP99Ope+JeM4cfV/YZcTYN+Lo44kqRbYkjXCmcCC9b5eCOz1o3uGAO8FQXAx0AAYVCXpJEnajG+Xr+G9jz/h+eT7CVrtCkffC0EQdSxJtUBVHahxKvDfMAzbAocDTwZBsNFrB0FwXhAE44MgGL98+fIqemtJUn2VV1zKna+P458Vt5Ocklp5fHJSWtSxJNUSW1KEs4F2633ddt3Y+n4DvAAQhuFoIAVo8eMXCsPwkTAMs8IwzMrIyNi6xJIkAbOW5TPgjg85ft7NdIwtI37yE9Ck3ea/UZLW2ZIiPA7oEgTBjkEQJFH5MNwbP7pnPnAQQBAEO1NZhJ3ylSRVi7ziUk5/bCy/LXuOg+MTiR9+O3TcL+pYkmqZzRbhMAzLgN8Dw4DpVO4OMTUIgpuDIDh63W2XA+cGQfAl8CxwdhiGYXWFliTVb0+Nmceuaz7jwtgr0OdXsMdvo44kqRbaogM1wjB8B3jnR2M3rPf5NKBf1UaTJGlji3KLeOWDT3gj5SFo1RsOv8uH4yRtlap6WE6SpO3izre/5J7YP0hJTISTnoDElKgjSaqlPGJZklRrFJeWs/+sO+kZzIXjnoemHaKOJKkWswhLkmqFoVOWMPbVe7kxHM7MrufRtdvgqCNJquUswpKkGm9RbhH3Pfs6LyU+yurW+9D15NuijiSpDrAIS5JqtDAMee7jqfwr/ncS0pqQcvr/IO4fX5K2nQ/LSZJqrLLyCk5+eDRdP7+WDrFlJJz0OKS3ijqWpDrCIixJqrHem7aUnRa8zJHxsZT3/zN0dKdOSVXHIixJqrE+G/0pQxKfINyxP0kH/DHqOJLqGBdZSZJqnEW5Rbw54VvOWDiE8qQ0guMehphzN5Kqlr9VJEk1ysffLGfAXSNJG3Ej3WMLKDz8fkhvHXUsSXWQM8KSpBohDENemZjNX96ZzmmNvuJXhcNhn9+TsfuRUUeTVEc5IyxJqhFe+yKby1/8kh5pq7mu/AFo0wcOujHqWJLqMIuwJClSZeUVjJyxjL+8/TV9MhvyZJPHiIdlcPy/ISEp6niS6jCXRkiSIvPu5MXc9OY0luQV07pRCg93+IBg4mg47lFo3inqeJLqOGeEJUmReHXSQi58eiINkuM8dEZfPjolhZaT7oXdToNeJ0UdT1I94IywJGm7WpRbxAfTl3L961Pp3LIhr/xuXxoFxfDghdCkPRx+R9QRJdUTFmFJ0nbz9ZI8TnlkDLmFpTRJS+TOE3rRKCURXr8MVi+AX78LyelRx5RUT1iEJUnbxetfZHPJc1+QkhjjsTOzGNi9JbFYAF+/DZOehP0vh/Z7Rx1TUj1iEZYkVbuSsgpemrCQ1MQ4H13Vn5bpKZUX1iyHN/4ArXvBgddEG1JSvWMRliRVq9LyCo5/8DMmZ6/mN/vt+EMJDkN48w+wNh+Oe8St0iRtdxZhSVK1mpK9msnZq7lqcDcuPHC9LdEmPQkz3oFDb4OWO0cXUFK95fZpkqRqsyyvmMue/4KEWMBRvdoQBEHlhZVzYOifYMcDYK8Log0pqd5yRliSVG3uHDaDuTmFPHRGX9o1S6scrCiHVy+AIA7HPAAx52QkRcMiLEmqFgtWFvLihIUc07sNg3dp/cOFT++BBWMqT49r0i66gJLqPf8aLkmqFm98uQiA8w7Y6YfBpVNhxF+hx7Gw64kRJZOkShZhSVKVK1hbxrOfz2e3dk3o2aZx5WB5Kbx2IaQ2gSP+Dt+tF5akiFiEJUlV7t4PZ7FwVRGXDuryw+Cn/4TFX1aW4AbNowsnSetYhCVJVWpZfjGPfjybfp2bc2CXjMrBpdNg5O3Q8zjocXS0ASVpHYuwJKlKPTV6HuUVIVcP7l55hHJ5WeWSiJTGcPidUceTpO+5a4QkqUpMyV7NVS99xbTFeRzYNYNdM9etDf7sHlj8BZz4P2jQItqQkrQei7AkqUr8c/g3zMsp4JrDunPqnu0rD89YNh1G/q1yl4iex0YdUZI2YBGWJG2z4tJypmSvpl/nFlzw3THK3y2JSE6Hw++KNqAkbYJrhCVJ2+y5z+ezJK+Y43Zv+8PgZ/+CRZMqS3DDjOjCSdJPsAhLkrbZ8+MXslNGgx9OkFs+E0beBjsfDT3/L9pwkvQTLMKSpG0yfu5Kpi/O49Q92lcOVFTAm3+AxDQ44m4PzpBUY7lGWJK01SoqQv714SxSEmOcvve6IjzhcZg/Go55ABq2jDagJP0MZ4QlSVvt029XMGrmcs7dfyfSkhIgbxG8fyPseCD0Pi3qeJL0syzCkqStUlpewY2vT6VlejIX9u8EYQhvXwEVpXDUP10SIanGswhLkrbKjCX5zF5RwFWDu1fOBk9/A2a8DQOuhWY7RR1PkjbLIixJ2iozl+YD0K1VOhStgneuhFNNbuYAACAASURBVNa9YO+LIk4mSVvGh+UkSb9YYUkZt7w1jQ7N0+jauiG8cykUrIDTXoC4f7RIqh2cEZYk/SIFa8v47f/Gs6qwlFuP3YXkBZ/BxCdgn4ugTe+o40nSFrMIS5J+kRfHL+Czb3O4sH8n9uvQAN68BJp2hP5/ijqaJP0i/vcrSdIvsnBVEQBXHNKN4MObYeW38KvXICkt4mSS9Ms4IyxJ2mJhGPLhjGX07dCU+PJp8Nm/YLfToNOAqKNJ0i9mEZYkbbFJC3KZvbyA4/u0gbf+CMmN4NC/RB1LkraKSyMkSVtkzdoybn/3axokxTkuGAELxsAx90Nas6ijSdJWsQhLkrbIo6NmM3bOSv42eAdSRl4A7fetXBYhSbWUSyMkSVvkk1kr2K1dE07JfQzW5sORf4eYf4xIqr38DSZJ+lmFJWX86ZWvmDR/Fae2nA9fPA37Xgwtd446miRtE4uwJOlnPTF6Hs9+voDje7fkxCX/gCbt4YCroo4lSdvMIixJ+lmfzlpBt1bp3NnmY+I5M+CwO90zWFKdYBGWJP2kGUvy+XTWCo7tWAYf3QHdj4Rug6OOJUlVwiIsSfpJ1746mSCAs1ffB0EMDrs96kiSVGUswpKkTVqaV8yk+au4o8c8Uud+AAOuhcZto44lSVXGIixJ2qQxs3NIDYs4evE90GpX2OuCqCNJUpXyQA1J0iaNmb2Sy5NeIaFgKZzyFMT9I0NS3eKMsCRpIxUVIbOnjOWs2LsEu58J7faIOpIkVTmLsCRpI/d/+A1/LHuU8sR0GDQk6jiSVC0swpKkDYybu5JvPvwfe8W+JvGQIZDWLOpIklQtXPAlSfreB9OXcsMLY3g16RlKWvYiqe9ZUUeSpGpjEZYkATBq5nLOe3ICtzV8lZYlK+GoFyAWjzqWJFUbl0ZIkliyupjzn5zA3unLObHsTehzhg/ISarzLMKSJJ4bN5+i0jIezXiBIKkBDLop6kiSVO0swpJUz81evoYnR8/j4tbTSFv4CQy4Dhq0iDqWJFU7i7Ak1XPXvjqZkqJ8/lD2eOUJclnnRB1JkrYLH5aTpHps3NyVjJm9kqd3HEni4kVw0uOeICep3nBGWJLqqTAMueDJCWSl57Dvsmeh1ynQfu+oY0nSduNf+yWpnvpo5nJyCtbyZtvnCPJT4OCbo44kSduVM8KSVE89/NFsTk6fTJsVn0L/P0F6q6gjSdJ2tUVFOAiCwUEQzAiCYFYQBNf8xD0nBUEwLQiCqUEQPFO1MSVJVenVSQuZOHsx18aegIydYc9zo44kSdvdZpdGBEEQB+4HDgYWAuOCIHgjDMNp693TBfgT0C8Mw1VBELSsrsCSpG3zzdJ8rnl5MlenD6Xx2kVwxKMQT4w6liRtd1syI7wnMCsMw9lhGJYAzwHH/Oiec4H7wzBcBRCG4bKqjSlJqgoT5q3k4H+MomXFCs4OX4Oex0HH/aKOJUmR2JIinAksWO/rhevG1tcV6BoEwadBEIwJgmBwVQWUJFWNkrIKfv/MJOKxgBc6D6v8A+BgT5CTVH9V1cNyCUAXoD9wKvBoEARNfnxTEATnBUEwPgiC8cuXL6+it5YkbU4Yhpz1n89ZvLqYRwaUs8P8N2Hfi6FJ+6ijSVJktqQIZwPt1vu67bqx9S0E3gjDsDQMwznATCqL8QbCMHwkDMOsMAyzMjIytjazJOkXGjljOaNn5/DHQZ05aO4/oGFr6Hdp1LEkKVJbUoTHAV2CINgxCIIk4BTgjR/d8xqVs8EEQdCCyqUSs6swpyRpK4VhyN3vz6BpWiLnN5sA2RNg0BBIbhh1NEmK1GaLcBiGZcDvgWHAdOCFMAynBkFwcxAER6+7bRiQEwTBNGAEcGUYhjnVFVqStOUmzs9lSnYeVw1sR/KIW6DN7tDr5KhjSVLktuhkuTAM3wHe+dHYDet9HgJ/XPchSaohpmSv5s+vTqZhcgLHF70M+YvgxP9CzPOUJMkjliWpjlpbVs6Z//mcAHjwyJYkDbsXdjke2u8VdTRJqhGcEpCkOurdyUtYWVDC30/uzf7z7qscHOR2aZL0HYuwJNVBpeUV3PPBN+zYogH7JX8LU16Cff8ATdpt/pslqZ5waYQk1TFhGHLTm1OZs6KA+0/tTXzYGZC+A+zndmmStD6LsCTVMZMW5PLUmPkM7tmaI8JRsGgi/N/DkNQg6miSVKNYhCWpjpmXUwDAVQPbwnOnQ2Zf2PWkiFNJUs1jEZakOubzOatokBSnw/RHIH8xnPSE26VJ0iZYhCWpjihYW8adw2bw/Lj5HN2xnPiY+2DXE6HdnlFHk6QaySkCSaojbn5zGk+MnsvJe7Tjb41eBoLKo5QlSZtkEZakOmL49KUc0zuT27IKSZnxGvS7BBq3jTqWJNVYLo2QpDpg9Lc55BSU0DkjDd69BNLbQL8/RB1Lkmo0i7Ak1XKFJWWc9+R4MpukcnaDMbD4CzjuUbdLk6TNsAhLUi0WhiHXvzaV/OIy/nt6Dxq8fiFkZsEuJ0QdTZJqPIuwJNViL45fyMsTF3LJQV3oO/+/sGYJnPyU26VJ0hbwN6Uk1WIPjfqW3do25g99k+CzeysPzmi3R9SxJKlWsAhLUi2VnVvE7OUFHLVbG+IfDIEg5nZpkvQLWIQlqZZ6ecJCAA5MmQVTX4X9LoXGmRGnkqTawzXCklQLfbEgl7+/P5PBPTLoPPEKaJQJ+7pdmiT9Es4IS1Its7qwlLvfm0E8FvD3btMJFn8Jg26CpLSoo0lSreKMsCTVMle//BWffZvDzYM7kPbxpdB2D9jV7dIk6ZeyCEtSLfLM2PkMnbqEKw7pyuklz8CapXDKMxAEUUeTpFrHpRGSVEvMXVHAn1+bzK6ZjTl31ziMvh96nQxts6KOJkm1kjPCklRLPP7pHJLiMR45sy/Jw86HWBwOujHqWJJUazkjLEk1XBiG3PbOdJ4dt4Dd2zdlh1UTYdrr0M/t0iRpWzgjLEk13AMjv+XhUbPp2aYRdx7fE148HBq1hX0vjjqaJNVqFmFJqqHCMOTNrxZz57AZHNS9JQ+csTvJXz0DS76C4//tdmmStI1cGiFJNdS7U5bwh2cn0SQtkeuP7EFyWQF8cDO03RN2OT7qeJJU6zkjLEk1TBiGTF2Ux/0jZpGWFOfzaweRlBCD4UOgYBmc9pzbpUlSFbAIS1INMj+nkFMfHUN2bhFpSXHuOaVPZQleOadyu7TdToXMvlHHlKQ6wSIsSTXElOzVXPnSV2TnFvHHg7ty5j4daJKWVHnx/RsglgAH3RBtSEmqQyzCklQDrFizlhMe+oyUxDg3Hd2Ts/bt+MPFuZ/A9DdgwHXQqE1kGSWprrEIS1INMHb2SopLK/jPWXuwb+cWP1yoKIeh10DjdrDv76MLKEl1kEVYkiIWhiFPjZlHi4ZJ7LVT8w0vfvE0LJkMJ/wHElOjCShJdZTbp0lSxF4cv5DRs3M4uEdr4rH1doMozqvcLq3d3tDzuOgCSlId5YywJEVobVk5fxv6NR2ap3HzMT03vPjx3VCwHE57we3SJKkaOCMsSRHJLSzhsHs+ZmVBCb/r34nE+Hq/klfOhjEPwG6nQebu0YWUpDrMIixJEblj2AxmLy/glmN34eQ92m948f0bIJbodmmSVI0swpIUgVUFJTwzdj577diM0/f8UQme8zFMfxP2vwwa7RBNQEmqByzCkhSBtycvBuCGo3oQW/8BuYpyGPonaNwe9nG7NEmqTj4sJ0kReHVSNl1aNqTHDo02vDDpSVg6GU543O3SJKmaOSMsSdvZe1OXMGHeKk7o25Zg/d0gilfDB7dA+32g5/9FF1CS6glnhCVpO5qfU8jlL35JZpNUztlvxw0vjroLCnNg8EtulyZJ24EzwpK0nYyYsYwz/j2WioqQB8/YfcPt0nK+hTEPQu/ToU2f6EJKUj1iEZak7WDuigIueHICCbGAh3+VRa+2TTa84f0bICEZDro+moCSVA+5NEKStoNz/juO5IQYj5zZl84t0ze8OPsj+Pqtyj2D01tHE1CS6iFnhCWpmn21MJfZKwq4oH+njUtwRTkMuxaatIe9L4omoCTVU84IS1I1KiuvYMgbUwkCOKFv241vmPgELJ0CJ/4PElO2f0BJqsecEZakajR1UR4T5+dy/gGdaJn+o6JbvBo+vBXa7ws9jokmoCTVYxZhSapGM5bmA3BS1iZmg0fduW67tNvcLk2SImARlqRq9PKEhbRulEL7ZmkbXsj5FsY8BH1Ohza9owknSfWcRViSqsmi3CI+n7uSE7PakhD/0a/b966r3C5t4A3RhJMkWYQlqbp8/M1ywhAO7tFqwwvfjoAZ78D+l0N6q01/sySp2lmEJakazF6+hmtfnUK7Zql0a73elmnlZTD0T9CkA+z9u+gCSpLcPk2SqsOk+bmUV4Q8emYWyQnxHy5MeByWT4eTn3K7NEmKmDPCklQN3pm8mIz0ZLqsf4BG4UoY8RfouD90PzK6cJIkwCIsSVXuoY++5YOvl3Fcn0zisfW2Rfvo9sq9gwf/ze3SJKkGsAhLUhUKw5D7PpzFgV0zuPyQbj9cWD4DPn8U+p4NrXeJLJ8k6QcWYUmqQrmFpaxZW8aBXTNISlj3KzYMKx+QS2oIA/4cbUBJ0vcswpJUhb5cmAtA68brPQj3zXvw7QfQ/2po0CKiZJKkH7MIS1IVem1SNk3SEhnYvWXlQFkJDLsWmneGPc6NNpwkaQNunyZJVWReTgFDpy7h//pkkpK4bsu0cY9Cziw47UVISIo2oCRpA84IS1IVufT5L1hbVsFv9tupcqBgBYy8HToPgq6HRBtOkrQRi7AkVYEZS/KZND+Xiwd2oXPLhpWDH94KJWvg0L9GG06StEkWYUnaRgVry7hz2AwAjuy1Q+Xgkskw8X+w53mQ0e1nvluSFBWLsCRto7vfm8kHXy/l4oGd6dKy4Q/bpaU0qdwpQpJUI1mEJWkbLMot4skxczmoe0suP6QbQRDA9Ddh7scw4FpIbRp1REnST7AIS9I2uPu9mYQh/OnwnSsHSovhveugZQ/o++tow0mSfpbbp0nSVhr9bQ4vT1zI7/p3olPGugfkxjwAufPgzNch7q9YSarJnBGWpK1QUlbB9a9PoV2zVC4e2KVyMH8JjLoLuh0BO/WPMp4kaQtYhCVpK4ycsYxZy9bw58N3JjVp3eEZH9wM5SVwyC3RhpMkbZEtKsJBEAwOgmBGEASzgiC45mfuOz4IgjAIgqyqiyhJNcuMJflc+vwXtGiYzMDurSoHF46HL56GvS+E5p2iDShJ2iKbLcJBEMSB+4HDgB7AqUEQ9NjEfenAJcDYqg4pSTVFGIb8c/hMyitCXrxgH5ISYlBRAe9cCQ1bw4FXRR1RkrSFtmRGeE9gVhiGs8MwLAGeA47ZxH23ALcDxVWYT5JqlPemLeXdKUs4/4Cd2LFFg8rBL56CRRPh4JshOT3agJKkLbYlRTgTWLDe1wvXjX0vCILdgXZhGL5dhdkkqcZ5cvQ8MtKT+e0BO1UOFOXC8Jug3d7Q66Row0mSfpFtflguCIIY8Hfg8i2497wgCMYHQTB++fLl2/rWkrRdfbt8DWPn5HBg1wwapSRWDo68DQpz4PA7IAiiDShJ+kW2pAhnA+3W+7rturHvpAO7ACODIJgL7A28sakH5sIwfCQMw6wwDLMyMjK2PrUkReDJ0fMoqwg577vZ4KXT4PNHIevXsMNu0YaTJP1iW1KExwFdgiDYMQiCJOAU4I3vLoZhuDoMwxZhGHYMw7AjMAY4OgzD8dWSWJIiMGn+Kl6asJA+7ZrQtVU6hCG8exWkNIKB10cdT5K0FTZbhMMwLAN+DwwDpgMvhGE4NQiCm4MgOLq6A0pS1IpLyzn3ifEkJcT48xHrjlKe+irM/RgGXgdpzaINKEnaKlt0/mcYhu8A7/xo7IafuLf/tseSpJrjjqEzyCko4T9n7UHfDs2gpADeuw5a7wp9fx11PEnSVtqiIixJ9dmkBavYo0MzBnRvWTnw8d8hLxuO/zfE4tGGkyRtNY9YlqSf8e3yNUyan8t+XVpUDqycDZ/9C3Y9CTrsE204SdI2sQhL0s8YO3slAIN3aV05MPRaiCdVHp4hSarVLMKS9DOeHzefThkN6JTREL55H2a+W3mMcqMdoo4mSdpGFmFJ+glPj53HlwtXc2JWO+IVJfDu1dC8C+x1YdTRJElVwIflJGkTyitCnhozn84tG3JOvx1hzD2w8ls442VISIo6niSpCjgjLEmb8N7UJUxfnMdpe7YnqWAxfHQndDsCOg+KOpokqYo4IyxJP7Isv5hrXplM+2ZpnLZXe3j11xBWwOC/Rh1NklSFnBGWpPWEYcglz37B2rJyHjsri5R5I2Da63DA5dC0Y9TxJElVyCIsSeuZtjiP0bNzuHpwd7o2S4R3roTmnWHfP0QdTZJUxVwaIUnrefzTuQQBHNmrDXz6z8oDNH71GiQkRx1NklTFnBGWpHWmZK/mpQkLOapXGzJKs+Hju6HncdBpQNTRJEnVwBlhSQLWrC3jN/8bR6tGyVx5SFd49+zKE+QO9QE5SaqrnBGWJOCTb1awNG8tfzuuF+2WjYBv3oMBf/IEOUmqwyzCkgRMnL+KeCxg3/YplSfItdoF9jw/6liSpGrk0ghJ9V5JWQXPfT6f3ds3IfnTuyFvIZzwb4j7K1KS6jJnhCXVeze+MZW84jKu3D2E0fdB7zOg/d5Rx5IkVTOLsKR6bc6KAp79fD6H79KKPab9FZIawsE3RR1LkrQdWIQl1WvPfT4fgBs7TiOY+wkMuhEatIg4lSRpe7AIS6rXZq8ooG9GSKvPboLMLNj9rKgjSZK2E4uwpHrr2c/n88k3K7iMJ6E4F466B2LxqGNJkrYTi7CkeikMQ+5+bwYHJM1gv/yhsM/vofUuUceSJG1H7g0kqV668Y2p5K0p4K4Wj0NCBzjw6qgjSZK2M4uwpHpn7ooCnhg9j7sz3ic9fw6c8QokpUUdS5K0nbk0QlK98+y4+XQKsjmu4AXY9UTofFDUkSRJEXBGWFK9Mm1RHk+NnsNL6U8QxNLg0NuijiRJiohFWFK9UFERcvvQr/n3J3M4K3UUO5dMhqPvhYYZUUeTJEXEIiypXvjd0xMZOnUJ/9c1iT8vfRba9oM+v4o6liQpQq4RllTnDZu6hGHTljBo55bc3eh5YmWFcOQ/IQiijiZJipBFWFKdVlER8udXp9A5oyH37rmK2JQXYb8/QkbXqKNJkiJmEZZUpz368WxWrFnLb/ZqSeqwK6B5F9j/j1HHkiTVAK4RllSnDZ++lN3aNubkvP9C7jz49buQkBx1LElSDeCMsKQ6KwxDvl6Sz+FN5xOMfRj2OBc67Bt1LElSDWERllRnvTIxm5LiQk5ZdDs0bgeDbow6kiSpBnFphKQ6aUr2aq57bQo3NX6bxgVzK49RTk6POpYkqQZxRlhSnVNREXLD61PYPXEeJ5e8An3O8BhlSdJGnBGWVOd8PGsFk+evYGzGYwRhBhzyl6gjSZJqIIuwpDrnkVHfcnnaOzTLnwmnPAupTaKOJEmqgVwaIalOefbz+Sz79kvODV+CXY6H7odHHUmSVENZhCXVGWEY8tK4ufw9+RFiqY3hsDuijiRJqsFcGiGpzhg7ZyW7L3qWXRNnwWH/hgYtoo4kSarBnBGWVGd8NWksVyS8SGmXwyuXRUiS9DMswpLqhFV5Bew/5TqKY6kkHnMPBEHUkSRJNZxFWFKtV14RMvzRq9k5/JY5e98KDVtGHUmSVAtYhCXVeg888xLH5j3Dt60Pp/ehZ0UdR5JUS1iEJdVq42Yt5pCZQyhKaspOZz4QdRxJUi1iEZZUa81als/0p6+mW2wh8WPvJ0hrGnUkSVItYhGWVCuFYchzL7/IGRVvsKLbaTToOTjqSJKkWsYiLKlWGjVlDmcs/hv5qW1ocZwHZ0iSfjkP1JBUK8U/GEL72DLKT3wTktOjjiNJqoWcEZZU6xRMfov9cl9ndMbJJHbaP+o4kqRayiIsqVYpXb2Y8LXfMa2iA42OvDnqOJKkWswiLKn2qKgg+/GzSSgr5K0ut7BLew/OkCRtPYuwpFohDENGPHELHXPH8Fqr33HlGUcTeIyyJGkbWIQl1QqffvoR+875F5NS9ub/zr3BEixJ2mYWYUk13j3vfknGexeRHzSk+/n/IznRDW8kSdvOIiypxpqfU8hv/zeOxp/eSrfYQkqOvI/Upq2jjiVJqiMswpJqpFUFJZzx77EkzR7O2QnvUbbH+bTJOirqWJKkOsT/viipRnrsk9kUrVrEPY0fhUY9STjErdIkSVXLIiypxpm9fA3PjJ7DM40fJbGsAI5/DBJToo4lSapjLMKSapQwDLnpzWn8puJldi6eBEffC616RB1LklQHuUZYUo0ycsZySmaN5KLYS7DrSdDnV1FHkiTVUc4IS6oxwjDkvjc/4+GkBwibdSI48h/gfsGSpGpiEZZUY1zz0iQuzbuTJomFxE56C5IbRh1JklSHWYQl1QhTslfT8ssH2D9hChWH3wOtd4k6kiSpjnONsKTIhWHIE88+zaUJL7N25+OJ9T0r6kiSpHrAIiwpUoUlZZz3wDtcnn87BQ3ak3zsPa4LliRtFy6NkBSZMAy58vkJ/HbpzTRPKCZ2xlOQnB51LElSPWERlhSZN75cRN8Zf2evhK/h2Mdgh12jjiRJqkcswpIiccfQr1k46gn+lTSUgj7n0qDXiVFHkiTVM1u0RjgIgsFBEMwIgmBWEATXbOL6H4MgmBYEwVdBEHwQBEGHqo8qqa4YOmUxH340gruSH6Mkc28aHHlb1JEkSfXQZotwEARx4H7gMKAHcGoQBD8+73QSkBWGYS/gJeCOqg4qqW54+6vFXPvsJzyeeg8JDZqQdMoTEE+MOpYkqR7akhnhPYFZYRjODsOwBHgOOGb9G8IwHBGGYeG6L8cAbas2pqS64OUJC7n42fE80vARWrOC2ElPQnqrqGNJkuqpLVkjnAksWO/rhcBeP3P/b4B3tyWUpLqloiLkng++4Z4PvmFI+ptkrf0cDr8L2v/crxJJkqpXlT4sFwTBGUAW/9/encdHVd3/H399ZrKxJEDYZVMB962IqK21uNZqlbqgqHX5YWsX9VtrtT+t1lpbtWoXbPXXqlVbrStW6/5Vi/uGoOACqCCLBNkiawgkmZnP749zA8OYBBImmSzv5+NxH3PvuWfunPvJED4599xz4Rv17D8XOBdg8ODB2fxoEWnF/vHGfG6aNJtf7vgJZ3/+IOx9Guz3vVw3S0REOritGRqxCBiUtj0wKtuMmR0OXA4c5+5VdR3I3W9z95HuPrJ3795Naa+ItDFrN9Twlxdmc9rglYxfdj0MHAXHTtBDM0REJOe2JhGeAgw3sx3MrAAYBzyeXsHMvgLcSkiCl2W/mSLSFqVSziUT3yevcjlXrfst1rknjLsX8gpz3TQREZEtD41w94SZnQ88C8SBO919hpldDUx198eBG4GuwEQLvTyfuftxzdhuEWnlKqsTXPHoh7w44zNe7vNXCtavhvHPQtc+uW6aiIgIsJVjhN39aeDpjLIr09YPz3K7RKSNu+PVeTwyrYwnBz5Iv/IP4OR7oP9euW6WiIjIRlv1QA0RkcZ4dfZy7nh9Hr/t/QJ7lD8Dh1wOu+kikYiItC5KhEUkq1ZVVvP9u6dyYuEUvrv2Dtj9BDj4klw3S0RE5EuUCItI1myoSXLWnW+zZ2Iml1dNgMEHwnf+qhkiRESkVcrqPMIi0rG99PFyKhbN5MnOE4h1HwLj7oP8olw3S0REpE7qERaRrHl12ofcXXgDRYWF8N2HoXNprpskIiJSL/UIi0hW1Kxfw5nzfk4vW4ud/gz02D7XTRIREWmQeoRFZJu88slyjpnwEq9ddxzDknN5frfrYMCIXDdLRERki5QIi0iT1SRTXPTgdMavvoVDYtP4cJ9fcuiYM3PdLBERka2ioREi0mQXT3yP0zY8wIn5z8FBP2Xvw3+W6yaJiIhsNfUIi0iTzFm2lt4z7uSi/Idh79Pg0Cu3/CYREZFWRImwiDTaFxVV3PO333FF/G4qdjgKjvsLxPTrRERE2hYNjRCRRpm7vILbbr2Ja5K3sHbAQRSffjfE9atERETaHv3vJSJbNGvxGh6aupD3y1bTaeEr3Jn/R1aX7kXpWQ9CXmGumyciItIkSoRFpEHvl63ixL++gTuM7buYXxdNIFY6nNJzHoPCrrlunoiISJMpERaRBv3P/dOoSTovjOvKjs9cBd36wVmPQaceuW6aiIjINtHdLSJSJ3fn9TnlzP+ikqtHVrHjM2eERyaf/SQU981180RERLaZeoRF5EueeO9zbpo0mznLKjio82ec/sm10LkHnPUkdBuY6+aJiIhkhXqERWQzS9ds4KcPTicvZtx+eJx7Cq4j3rl76AnuPijXzRMREcka9QiLyGb+9dYCEinnrm8W0P+xM6CoG5z9FHQfnOumiYiIZJV6hEVko5pkirvfXMAp/RbT/7GTobAkDIdQEiwiIu2QeoRFZKNpn61i96ppXLN2Qpgd4szHlASLiEi7pURYRAB4b+EqHrr3Nu7K/z3WY1iYIk2zQ4iISDumoREiAsBr/7mV6xI3UNNrV+Ljn1YSLCIi7Z4SYZEOLply3nzoD/yo/DoWF+9N13OfDvMFi4iItHMaGiHSgSUSSR7+4/mMq7yPdwpHsseP/wOFxbluloiISItQIizSQXmimrdvOoNxlf/LrH7Hsdf4v5NfUJjrZomIiLQYJcIiHUxNMsW9L89g19cu4KupaTxVehZHnzsBi2mklIiIdCxKhEU6kAfe/ozbnn6DP6euY9fYZ7y7z9V889gLlASLiEiHpERYpIPYUJPk7iee4/786+kZr8BOfpAROx+Z62aJiIjkjBJhkQ7ixSf+xQOxKygs6ELeGU/BaG90lgAAHEZJREFUgBG5bpKIiEhO6XqoSHvnzoyHf8s33/sJ5fn9yf/Bi0qCRUREUCIs0r7VbCD16A/Z/cMbeaPwa/S/8GViPfTIZBEREdDQCJH2a+0SeOB0Youm8oeak9j+21fRqWtJrlslIiLSaigRFmmP5r4M/z4Hqiv515BruPmTHZi8c+9ct0pERKRV0dAIkfYklYJXboR7vgOdSikb+xS/mr0jp+8/mD7FRblunYiISKuiHmGR9qJyBTxyLsx5nlXDvsOlVeN5/h+LyYsZPxo9LNetExERaXWUCIu0B2VT8YlnkVq7lMcHXMwvZ+9HPFbFuQfvyMkjBzGge6dct1BERKTVUSIs0palkvD6BPzFaym3Xoxf/yvml+3EQcN6cfkxuzKotHOuWygiItJqKREWaatWfQaP/hAWvM4zqQO4tHo83ztiBOcdMox4zHLdOhERkVZPibBIW/T+RFJPXUQikeTS6h8yvcdR3DF2b/bbvjTXLRMREWkzlAiLtCWVK/CnL8E+fJj32Znzq35E175DeerHX6NTQTzXrRMREWlTlAiLtBUzH4OnfkZq3Qom1JzEXbETuO2c/TlwaE/MNBRCRESksZQIi7R268rh6YthxqNU9tyDE1b8jAMOPJhJo4fSt0RzA4uIiDSVEmGR1iqVgmn3wH9/BdXrWPO1yzj1w1HMi1fx0JE7UVKUn+sWioiItGlKhEVao8Xvw1MXQdkUGPI1Jvb7KZdMqgbW84exeysJFhERyQIlwiKtyYY18OK18Pat0KkUjr+VOf2O4ZI/vcIBO5Zy0RE7M2oHzQwhIiKSDUqERVoDd/jw3/Ds5VCxFEaOh8N+SU1BN379jykU5cf40yn70L+bnhAnIiKSLUqERXJtwZvw3BWwaCr03wdOvQ8G7MsnS9fyi0feYuqClVxz/B5KgkVERLJMibBIrpTPCTfCffQkFPeHMf8P9h4HsTiLV69nzM2vk0iluPDw4Zy+/5Bct1ZERKTdUSIs0tIqlsMrN8LUOyCvCA65Ag48Dwo6b6xy47Mfk3Tnvxd9gyE9u+SwsSIiIu2XEmGRllK5At74M0y+DRIbYN+zYPRl0LUPAGs31DBr8VomzVrKI+8uYuy+A5UEi4iINCMlwiLNbV05TP4bTL4VqtbCHieEBLjXcADKVlZyy4tzeHTaIjbUpAAYtX0pVxyzWy5bLSIi0u4pERZpLqsWwps3wzv/hMR62PVYGP0Llnceyt9fm0vZyndZsnoD7yxYCcCpowZx5G792LlfMf27FemxySIiIs1MibBIti3/GF6bAB88FLb3PBkOuhB670x1IsWP//4WU+avZMdeXejXrYgTRgzg+K8M4OvDe+e23SIiIh2MEmGRbHCHeS+H8b8fPx1ugtvve3Dg+dB9EADJlPPH5z9hyvyV3HjSXowdOSjHjRYREenYlAiLbIuqCnjvfnj7dij/ODwN7uCLYf8fQpdeG6stWrWeyx/9gJc+Xs43d+/LiSMG5rDRIiIiAkqERZpm6Qx4926Yfh9UrQkPwvjOX2H3EyC/CAB3Z175Oia+U8adr83DDK4esztnHDBE439FRERaASXCIlurcgV88DBMvxcWT4dYPux+PIw6FwaOBDPcnfnl63ho6kImTi2jvKIKM/j2Xttx6bd2YUB3PR1ORESktVAiLNKQZAI+nQTT/gUfPwOpGui3Fxx1Pew5Frr0BKCiKsG/3ynj9lfnUrZyPQAHDevFUXsM59Bd+rCdEmAREZFWR4mwSKZUEj57E2Y+FpaKpdC5J4z6PuxzGvTbk5pkiolTy5i5+HNmL61g2sJVVCdS7DukBz8ePYwRQ7qzc99iDYEQERFpxZQIi0Do+V3wWkh8Zz0B65aHmR+GHwF7jYPhR0JeARB6f29/ZS43TZoNwFcGd+e7+w/h23v3Z8TgHrk8CxEREWkEJcLScVWugE9fCMvHz8D6FZDfGXb6Juw2BoYdQQVFzFlWwfTJi3hgykLKVq6noioBQM8uBbx52WEU5MVyfCIiIiLSFEqEpeNI1kDZFJgzKSS/n08DHIq6h57f3cbA0MOgoDMAf5k0mwmTZpNMOQC79CvmpH0H0q9bEf27FbH3wO5KgkVERNowJcLSvq2YF252m/MCzHsFqteCxWHgfjD6Mhh2GGz3FYjFN3vbwhWV3DRpNiMGd+f7X9+R4X2LGVLamVhMY35FRETaCyXC0n6kkrD8o9Dru/BtmP8arFoQ9nUfDHueBEMPhR0Ohk7dN3trZXWCdxesYvK8L5g8bwXTF66iS2Ee1x6/J8P7FufgZERERKS5KRGWtqtiOSyaGhLfsimw6F2orgj7OveEwQfCgeeF4Q49h0I9Mzhc98ws7nh1HomUE48Ze2xXwlkHDmHcqMEM7d21BU9IREREWpISYWn9kglY8SksmwlLZ4bXJe/Dqs/C/lge9N0D9j41DHkYOBJKd9yY+Lo7VYkU66oSVNQuGxJ8vno9T7y3mBc/Xsa+g3twwWHD2XdID7oW6p+FiIhIR6D/8aX1cIe1i6Nkd8am1+WfQLIq1LEYlA6F7UbAft+HgftR1WcPlq2Ps2ztBpauqWLpRxuYu3wGU+avYMmaDVRsSJCIbnjL1L9bET84eCgXHDqMLkqARUREOhT9zy8tyx3Wrww3sa34FFbMhS9qX+fAhlWb6hb3hz67wY6j8T67Ud55KNPW92Ha4ipmLV7DkikbWPZCBSvWvfKlj+lSEGfEkB6M2qGUroV5dCnMo7gojy4FYb1rYR7dO+eza/8S4roBTkREpENSIizZk6iGiiWwZjGs/RzWLCa15nM8WmzNYmIVS7Dkho1vcYz1nfqxqtNgvuh+KJ8X7sD82BDm2CCW1HRhzeoa1i5NsKKymlWV5UA5eTFjeN9iBvbozL5DetC3pIi+JYX0KSmib3FY79G5QDM8iIiISIO2KhE2s6OAm4A48Hd3/13G/kLgbmBf4AvgFHefn92myrZIpZyaVIpE0kkkN63XJFMkUk4imaIm6SQ3q5eiJpnCq9bi61fz7ifzqVq5iG6JcrpHS2nqC3qmvqBX6gtKWf2lz632fJZ4KUvpwRLfjiW+O0u9lM+8D/O9Lwu9D1UbCmBlqF+UH6O4KJ+SohglnRJ061zAoNLOlHTKZ6c+Xdl7UHd27V9CUX78S58lIiIi0hhbTITNLA7cAhwBlAFTzOxxd5+ZVu0cYKW7DzOzccD1wCnN0eCOyj0kqYlU5muKVAoSqRTJlFO2cj2vzynn9U+/4NNlFdQkExQlK+nq6yixSkqopNgqKWHTdomti143lfeKXoupJG5hfO0hGW1aG+vGqrxerCnswycFu1NR0JuKgt5UFvWlsqgPVUV9SRZ2Jy8vRkE8Rn48Rte40SMeY7/CvJDwdopei8KrHlAhIiIiLWVreoRHAXPcfS6AmT0AjAHSE+ExwFXR+sPAzWZm7l73HUo55O6srUqwbE0Vy9dWUV5RRVUiRTKV2pRcRj2jSU/fTtWZhKbXT6ScZDKFp5KkUgk8mSCVSkAqSSqVhGQivKYSkKwhL1VNPFVFPFVNXqqaPK99rSLPq8mPygq8mnxqKKSGQqrDq9VuR2XRdi9qOMVqOCeeoHNeNUVWgeU1/GOoyetCTX4JifxikgUlJAv7kSooYX1hN9YXFuOF3fCibnQu6UmP3gOgpD8U96c4rxDNsCsiIiJt1dYkwgOAhWnbZcD+9dVx94SZrQZ6AuXZaGS2vP/O66x+7DLcU8RIYUAvnLgliZMiTijPi143bSeJW2pjnTipL23H0t6TNWmdoyliJGKFJGMFJONFJGMFpOKFJGOFpOKFpOLFeLyQeEEnepQUk1/YCfI6hQdHFHULS2HJpvW0svx4HvnZa7WIiIhIm9CiN8uZ2bnAuQCDBw9uyY8GoF9xPj2LE+TF4+TlFZAXj5OfFycWz4NYHLM4Fs/DYnGIxYnF4hDLI1ZbZqGczdbzwpReG9dr98fCdn3vixdCXiHkFTXwumk9Fs+joMUjJiIiItJ+bU0ivAgYlLY9MCqrq06ZmeUB3Qg3zW3G3W8DbgMYOXJkiw+b6LPTKLjkjZb+WBERERFphbbmzqQpwHAz28HMCoBxwOMZdR4HzorWTwJeaI3jg0VEREREam2xRzga83s+8Cxh+rQ73X2GmV0NTHX3x4E7gHvMbA6wgpAsi4iIiIi0Wls1Rtjdnwaezii7Mm19AzA2u00TEREREWk+mrRVRERERDokJcIiIiIi0iEpERYRERGRDkmJsIiIiIh0SEqERURERKRDUiIsIiIiIh2SEmERERER6ZCUCIuIiIhIh6REWEREREQ6JCXCIiIiItIhKREWERERkQ5JibCIiIiIdEhKhEVERESkQ1IiLCIiIiIdkhJhEREREemQzN1z88Fmy4EFWThUL6A8C8eRhinOzU8xbhmKc/NTjFuG4tz8FOPm11IxHuLuvTMLc5YIZ4uZTXX3kbluR3unODc/xbhlKM7NTzFuGYpz81OMm1+uY6yhESIiIiLSISkRFhEREZEOqT0kwrflugEdhOLc/BTjlqE4Nz/FuGUozs1PMW5+OY1xmx8jLCIiIiLSFO2hR1hEREREpNFafSJsZnea2TIz+zCt7Ddm9r6ZTTez58xsu6jczOzPZjYn2j8idy1vO+qKcdq+n5mZm1mvaFsxbqJ6vstXmdmi6Ls83cyOTtt3WRTnj83sm7lpddtS33fZzC4ws4/MbIaZ3ZBWrhg3QT3f5QfTvsfzzWx62j7FuZHqifE+ZvZWFOOpZjYqKtfv5SaqJ857m9mbZvaBmT1hZiVp+/RdbiQzG2RmL5rZzOh38E+i8lIze97MZkevPaLylv0+u3urXoCDgRHAh2llJWnr/wP8LVo/GngGMOAAYHKu298WlrpiHJUPAp4lzPfcSzHOfpyBq4CL66i7G/AeUAjsAHwKxHN9Dq19qSfGhwD/BQqj7T6KcfbjnLH/D8CVinN2Yww8B3wrWj8aeCltXb+XsxfnKcA3ovXxwG+idX2Xmxbj/sCIaL0Y+CSK5Q3ApVH5pcD10XqLfp9bfY+wu78CrMgoW5O22QWoHeg8Brjbg7eA7mbWv2Va2nbVFePIn4Cfsym+oBg3WQNxrssY4AF3r3L3ecAcYFSzNa6dqCfGPwJ+5+5VUZ1lUbli3EQNfZfNzICTgfujIsW5CeqJsQO1vZPdgM+jdf1ebqJ64rwT8Eq0/jxwYrSu73ITuPtid383Wl8LzAIGEOL5z6jaP4HvROst+n1u9YlwfczsGjNbCJwOXBkVDwAWplUri8qkkcxsDLDI3d/L2KUYZ9/50eWfO2svDaE4Z9NOwNfNbLKZvWxm+0XlinHz+Dqw1N1nR9uKc/ZcCNwY/d/3e+CyqFwxzq4ZhGQMYCzh6igoztvMzLYHvgJMBvq6++Jo1xKgb7TeonFus4mwu1/u7oOAe4Hzc92e9sTMOgO/YNMfGNJ8/goMBfYBFhMuKUt25QGlhEtslwAPRb2W0jxOZVNvsGTXj4CfRv/3/RS4I8ftaa/GAz82s3cIl/Krc9yedsHMugL/Bi7MuLKPhzEROZnGrM0mwmnuZdNli0Vs+ssNYGBUJo0zlDD+6T0zm0+I47tm1g/FOKvcfam7J909BdzOpstsinP2lAGPRJfZ3gZShGfbK8ZZZmZ5wAnAg2nFinP2nAU8Eq1PRL8vmoW7f+TuR7r7voQ/6j6NdinOTWRm+YQk+F53r/0OL60d8hC91g5ba9E4t8lE2MyGp22OAT6K1h8HzozuODwAWJ3W7S5byd0/cPc+7r69u29PSCRGuPsSFOOsyhj3dDxQe+fy48A4Mys0sx2A4cDbLd2+duI/hBvmMLOdgAKgHMW4ORwOfOTuZWllinP2fA58I1o/FKgdfqLfy1lkZn2i1xhwBfC3aJe+y00QXYG7A5jl7n9M2/U44Y87otfH0spb7Puc11wHzhYzux8YDfQyszLgV8DRZrYzoWdnAfDDqPrThLsN5wCVwP9p8Qa3QXXF2N3ru+SmGDdRPd/l0Wa2D+GS0HzgBwDuPsPMHgJmAgngPHdP5qLdbUk9Mb4TuDOaHqkaOCu6DKcYN1EDvzPGkTEsQt/lpqnnu/x94Kao530DcG5UXb+Xm6ieOHc1s/OiKo8Ad4G+y9vga8AZwAe2aVrFXwC/IwxVO4eQy50c7WvR77OeLCciIiIiHVKbHBohIiIiIrKtlAiLiIiISIekRFhEREREOiQlwiIiIiLSISkRFhEREZEOSYmwSAdnZleZmZvZs3Xse9jMXspBsxrNzEZH57FHA3W2j+rULhVm9p6ZfS+tzgdm9kQDx3jSzGZlu/0tyczOjs6/a5aOd4KZzTGzeLRd+7P4IvMzzOx8M9um6YrMrLeZ/dnM3jaz6ujBP/XV/b6ZzTazDWb2jpkdVkedAWb2qJmtNbNyM7s5esJmo45lZheb2aRtOTcRaVlKhEWk1pFmtl+uG9FCLgYOJDzE5D3gdjP7brTvfkIsemS+KSo7Ej1CeKPooQNXAzfWMadqKeGxwNk2ADgFWAJMr6+SmZ1KeBjC3cC3gBnAk+l/LEVPvHoWGEKYB/knwFjgtsYeC7gVGGFmo7ft9ESkpSgRFhGAFcAHwOXNcXAz69Qcx90GH7v7W+7+POGJRrOAM6N9DxCePndCHe87EchHiXC6wwiPZb+vjn0vAReZWVGWP/N9d+/r7scBrzRQ7yrgn+7+G3d/ETibMEn/pWl1TgJ2BU5096fc/V7gAuC0jKeYbvFY7r6W8BjZC7bt9ESkpSgRFhEIT7a7BjjOzPZsqKKZ7WNmk8ys0sxWmtm9ZtY3bX/t8IPTzexuM1sFPJFWPs7M7jKzNWZWVtsTa2Y/N7PPzWy5mV0f9TTWHnMXM3vAzBZGnzvDzC5Mr9PkEw9PFfqA6Nn27j4XmEzoHcw0DnjH3WfXsa+2rQeZ2avR+a0xs+lmNjZt/5lm9pqZrYji96KZjcw4xj/MbKqZHWNmM6NzfsrMSs1sWPSedVGdvTLe62Z2kZndFH3GKjP7i5kVNBQHMysysxuiGFdFQ0aO3lL8CH9IPBclgZluIPQKf6+OfU3m7qkt1TGzHYGdgIcy3jeR0KNb61vAFHefl1b2H8JTCI9q5LEgJMLfNrPSRpySiOSIEmERqTURmE0DvcJm1pvQy9cZOI3Q8/UN4Pk6Eq3fA2sJl5mvTSu/HlhM6F19Ffinmf0BGAWMByYAP2fT4zYhXAr/GPgx4dGbtwO/Bv5v40+zToOB9ETofuAQM+tTWxAl+6NpoDfYzEqAJ4G5hPM7CbgH6J5WbXvC5fWxhBguBF6Nkq3MNl0NXEF4lO5XCZfrH4iWk4A84AEzs4z3/gwYCJwO/DZ6/zX1nz4ADxN6Oa8FjgWmAI9beAR4Qw4F3qhn30LCuf48GoJQJzOLm1neFpbG/n+1S/T6UUb5LKA0+i7X1tusjrtXA5+mHWNrjwXwJuGqwdcb2V4RyQV316JFSwdeCJd8y6P1s4EksFO0/TDwUlrd3wGrgJK0sv0JPcqnRtvbR9uPZnxObfldaWUlQA0hAY+nlb8NPFhPe42QAP4CmJtWPjo6/h4NnGttG46LjtEDuBCoAg5Oq9c/isN5aWXnAylgYAPHHxkdv3grYx+L2vERcGVa+T+ABDA0reyG6NhnppUdHZXtmlbm0fFiaWWXA5VAadrP2YGu0fZh0fY3Mtr3CjCxgfZvF73vmIzyjT8LwrCJBHBOWhw9o/78qH5Dy1X1tOH3wPw6yk+P3tc9o/zwqLz2Oz4bmFDH+18D7mvMsTLO55qW/HesRYuWpi3qERaRdP8CPgMuq2f/KMJl8DW1Be4+mfAf/0EZdZ+q5xgb76qPjrMceNk3v9FqDqEXGNh42f7XZjaHkLTWEHo4dzCzvK04r0yPRcdYAfwJuMTdN441dffFhJ7vU9LecwrwqruXNXDcT4EK4D4zG2Nm3TMrmNmuFmYoWEpItmuAnQmX3tPNd/dP07bnRK8v1FE2gM095psPH3gE6ERITOtyOOHGs9fTe2EJP6uR9bwHoF/0Wl5fhegcHgAutWhWiTocC+y3heW2et7bGpWzKTYi0oo15T8QEWmn3D1hZjcAfzazq+qo0p9wt3ympYSxoJlldVmVsV1dT1n6DVbXE8aZ/hp4N6o/hjBsoIiQfDbGTwk9fn0IvaW/N7OX3f29tDr3A7eZ2QBCL/TXCEMz6uXuK83sCEIv+0NAzMyeAy5w97lmVgw8R4jNRcACYAPw94zzhbpjklleW5b53mX1bPevp+m9CIlbTR37MmeCSFf7uVUN1IEw3OJDNv/DIt1MQowbssVxwRlWRq/d2DxmPTL2r4zqZOpBmFGkMceqVcWXfyYi0gqpR1hEMt1JSJzqGn+7mJA8ZupL6F1Nt01zxWYYC/zF3W9w9/+6+1TC5fammuPuU939aeDbwBrCsI90/yYkhqdES5IwVKRBHmajOIowLvgEQk9v7YwKBxLG7n7X3e9199eic6krEdsWmT+j2u3F9dRfASyi7p7YAxr4nNqf+Zd6vtO5+0zgUcJwlroS3k8JsW5oubKhz6hD7XjeXTLKdwFWuPvytHqb1YnGu++YdoytPVat7nz534OItELqERaRzbh7lZn9HrgOeIfNewknAz8ys2KPZgmwMPfw9oQe1ubSibRex+gSe12zOjRa1It7PXCDme3l7u+nlT8bfY4Bz7t7vUMA6jjuesJsGXuwaahJ7TRy6efyVUL83tnmk9lkjJldljY84gRgPaFXti6TCDfYVbh75g1hDZlP6JXegTCUpCHXEM7x+Dr2HQsUbuH9nzeiXUQ98J8Q/oh6FjbOeTwWeCat6jOEqdKGuPuCqOy4qD3/28hj1ZYPBj5pTHtFJDeUCItIXW4l9N59FXg5rfyPhAckPBslj10JPakfEHpQm8vzwHnRGOEVwHlsOXFqjL8S5oO9BDgjrfx+NvXmnpn5pkxmdgxh5ov/EMZaDwB+wKZxvW8RhnHcHg1BGUgYRrFom89gc8XARDO7Hdgd+CVwi7vX10v5PCHBez76uc4g3Mi4D1Dk7nWOGXf3DWb2DrAvcFdDDXL3d83sGb483Rju/sHWndYmZnZStLoT0Dlt++W0HtqrgH9ZePLc64Sp3oYTZuuo9TBheMwjZvZLQu/8nwg3yqVPk7c1x4Iw3rtrVEdEWjkNjRCRL3H3SkIykFm+HDiEMK71fuAWwhRoR3iYcqq5XBB9zi2EoRsfEnqss8LdK4CbgHFmNiht1+OE2RY2EJLbLZlDGBJyLWEs8A2EXsXx0ecsJfQi9iPcsHch8EM23fSWLX8gDIO4nzCk4A7CHzZ1cncn9BrfGbXpWcIfQwey5Z7+R4jm290Kv93KeltjYrQcC/RO2969toK730+I79mEn8NewLfd/cO0OjWE9i8kjOu+mfBH3bnpH7Y1x4ocRZg+b1pWzlJEmpWF338iItIemJkTbs67uYU+ry+h9/sgd5/SEp/ZmpnZm8BT7p7NpF9Emol6hEVEpMmiXu6/Az/JdVtyzcz2J9xA1yJ/hIjItlMiLCIi2+o3wKwG5gnuKEqBs9w9c+o7EWmlNDRCRERERDok9QiLiIiISIekRFhEREREOiQlwiIiIiLSISkRFhEREZEOSYmwiIiIiHRISoRFREREpEP6/79IuLGguvSRAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "bJyZAMOoOXCe" | |
}, | |
"source": [ | |
"### ECDF Confidence band" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "-fbXbaQTPPD3" | |
}, | |
"source": [ | |
"" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "Hi0djtusPdnx" | |
}, | |
"source": [ | |
"alpha = 0.05\n", | |
"low_band, up_band = _conf_set(y_sm_ecdf , alpha=alpha)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "r2rYYoQ7Pwp0", | |
"outputId": "ed2b77fd-9a2b-4c68-ffbd-e7e0dc7ca7c1" | |
}, | |
"source": [ | |
"plt.plot(np.sort(sample_100), np.sort(y_sm_ecdf), label='ECDF')\n", | |
"plt.plot(np.sort(sample_100), rv_norm.cdf(np.sort(sample_100)), label='True CDF')\n", | |
"plt.plot(np.sort(sample_100), np.sort(low_band), \"--\", label='L(X)')\n", | |
"plt.plot(np.sort(sample_100), np.sort(up_band), \"--\", label='U(X)')\n", | |
"plt.legend(fontsize=15)\n", | |
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=100)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 137 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 519 | |
}, | |
"id": "bzdJH15sV6Ci", | |
"outputId": "35996e47-db31-431e-c2f7-6e5effeb6fed" | |
}, | |
"source": [ | |
"alpha = 0.05\n", | |
"low_band_1000, up_band_1000 = _conf_set(y_sm_ecdf_1000 , alpha=alpha)\n", | |
"plt.plot(np.sort(sample_1000), np.sort(y_sm_ecdf_1000), label='ECDF')\n", | |
"plt.plot(np.sort(sample_1000), rv_norm.cdf(np.sort(sample_1000)), label='True CDF')\n", | |
"plt.plot(np.sort(sample_1000), np.sort(low_band_1000), \"--\", label='L(X)')\n", | |
"plt.plot(np.sort(sample_1000), np.sort(up_band_1000), \"--\", label='U(X)')\n", | |
"plt.legend(fontsize=15)\n", | |
"plt.xlabel('Normal RV sample (N=1000)', fontsize = 15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 0, 'Normal RV sample (N=1000)')" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 138 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "s5v1Eo8pU261" | |
}, | |
"source": [ | |
"# Оценка параметров методом bootstrap\n", | |
"\n", | |
"**Процедура оценки простых парамтеров:**\n", | |
"\n", | |
"1. Симуляция выборки $X_1^*,...,X_n^* \\sim \\hat{F}$\n", | |
"2. Вычисление парамтера для оценки (среднее, медиана, ...) $T_n=g(X_1^*,...,X_n^*)$\n", | |
"\n", | |
"**Процедура оценки дисперсии:**\n", | |
"\n", | |
"1. Симуляция выборки $X_1^*,...,X_n^* \\sim \\hat{F}$\n", | |
"2. Вычисление парамтера для оценки (среднее) $T_n=g(X_1^*,...,X_n^*)=\\bar{X}_n$\n", | |
"3. Повтор шагов 1 и 2 $B$ раз для получения $T^*_{n,1},...,T^*_{n,B}$.\n", | |
"4. $\\hat{\\sigma}^2=\\frac{1}{B}\\Sigma_{b=1}^B(T^*_{n,b} - \\frac{1}{B} \\Sigma_{r=1}^BT^*_{n,r})$\n", | |
"\n", | |
"**Оценка доверительных интервалов для параметров**\n", | |
"\n", | |
"1. Симуляция оценок $B$ раз: $\\hat{\\theta}^*_{n,1},...,\\hat{\\theta}^*_{n,B}$\n", | |
"4. Оценка доверительного интервала для парамтеров, полученных симуляцией (метод перцентилей, метод опорных точек, BCa, нормальная апроксимация)\n", | |
"\n", | |
"Доверительный интервал методом перцентилей: $[\\hat{\\theta}^*_{\\frac{\\alpha}{2}};\\hat{\\theta}^*_{1-\\frac{\\alpha}{2}}]$, где $1-\\frac{\\alpha}{2}$ это перцентиль симулированных параметров $\\hat{\\theta}^*_{n,1},...,\\hat{\\theta}^*_{n,B}$\n", | |
"\n", | |
"\n", | |
"\n", | |
"Ссылки: \n", | |
"1. Wasserman, L. (2013). All of statistics: a concise course in statistical inference. Springer Science & Business Media. (с. 107-118)\n", | |
"2. Bootstrapping (statistics), Wikipedia, https://en.wikipedia.org/wiki/Bootstrapping_(statistics)\n", | |
"2. Nathaniel E. Helwig, “Bootstrap Confidence Intervals”, http://users.stat.umn.edu/~helwig/notes/bootci-Notes.pdf \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "Anjc85d0hQb6" | |
}, | |
"source": [ | |
"# from scipy.stats import bootstrap" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "slMVjVlkhTaY" | |
}, | |
"source": [ | |
"Документация: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.bootstrap.html" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "fJnDwxEYhCh3", | |
"outputId": "ec8164e5-7556-43ee-94fd-da533633a578" | |
}, | |
"source": [ | |
"data = (sample_100,) # samples must be in a sequence\n", | |
"res = bootstrap(data, np.mean, confidence_level=0.95, method='percentile')\n", | |
"print(\"True mean {}\".format(mu))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True mean 165\n", | |
"BootStrap ConfidenceInterval(low=164.51727954978963, high=168.65333797059236)\n", | |
"BootStrap std 1.0474988112294426\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "5kiHelBs-6J1", | |
"outputId": "8b5dd70e-37c7-47dd-ccab-f42bec0df53e" | |
}, | |
"source": [ | |
"x = np.linspace(130,190,1000)\n", | |
"plt.plot(x,rv_norm.pdf(x))\n", | |
"plt.vlines(mu,-0.002,+0.003, 'r', label=\"True Mean\")\n", | |
"plt.vlines(sample_100.mean(),-0.002,+0.003, 'g', label=\"Sample Mean\")\n", | |
"plt.vlines([res.confidence_interval[0],res.confidence_interval[1]],-0.002,+0.003, 'b', label=\"BS CI N=100\")\n", | |
"plt.ylabel('PDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)\n", | |
"plt.legend(fontsize=15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7f6416b35e90>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 140 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "J_PO-URghzbq", | |
"outputId": "f67d7c4b-5c97-4801-9eef-c2428cfdb119" | |
}, | |
"source": [ | |
"data = (sample_100,) # samples must be in a sequence\n", | |
"res = bootstrap(data, np.std, confidence_level=0.95, method='percentile')\n", | |
"print(\"True mean {}\".format(sigma))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True mean 10\n", | |
"BootStrap ConfidenceInterval(low=8.880254367714764, high=11.900051220049807)\n", | |
"BootStrap std 0.7680563252691296\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "aDiLYgAOkVwS", | |
"outputId": "20b6a1c1-510d-415d-f395-5dc9fbdb1da2" | |
}, | |
"source": [ | |
"data = (sample_1000,) # samples must be in a sequence\n", | |
"res = bootstrap(data, np.mean, confidence_level=0.95, method='percentile')\n", | |
"print(\"True mean {}\".format(mu))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True mean 165\n", | |
"BootStrap ConfidenceInterval(low=164.28162850456386, high=165.52840176072357)\n", | |
"BootStrap std 0.3142622979186211\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "cUoKLVY0AsSi", | |
"outputId": "f951dd34-a210-4ba8-afc6-c5d392584c4d" | |
}, | |
"source": [ | |
"x = np.linspace(130,190,1000)\n", | |
"plt.plot(x,rv_norm.pdf(x))\n", | |
"plt.vlines(mu,-0.002,+0.003, 'r', label=\"True Mean\")\n", | |
"plt.vlines(sample_100.mean(),-0.002,+0.003, 'g', label=\"Sample Mean\")\n", | |
"plt.vlines([res.confidence_interval[0],res.confidence_interval[1]],-0.002,+0.003, 'b', label=\"BS CI N=1000\")\n", | |
"plt.ylabel('PDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)\n", | |
"plt.legend(fontsize=15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7f6416ad7dd0>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 143 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "rz5_ZCWHkaY1", | |
"outputId": "5eb1c83b-d94c-4cc9-9a87-8e1006d94a7a" | |
}, | |
"source": [ | |
"res = bootstrap(data, np.std, confidence_level=0.95, method='percentile')\n", | |
"print(\"True mean {}\".format(sigma))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True mean 10\n", | |
"BootStrap ConfidenceInterval(low=9.489852255783713, high=10.375707228913466)\n", | |
"BootStrap std 0.22738654953068388\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "3eNLlXtrnoO3" | |
}, | |
"source": [ | |
"### Оценка медианы" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "XmSdeNtynk5v", | |
"outputId": "97a5ad3a-bdff-482c-e3e2-7902eb13bb5d" | |
}, | |
"source": [ | |
"data = (sample_100,) # samples must be in a sequence\n", | |
"res = bootstrap(data, np.median, confidence_level=0.95, method='percentile')\n", | |
"print(\"True median {}\".format(mu))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True median 165\n", | |
"BootStrap ConfidenceInterval(low=164.11640652382744, high=169.4211614872994)\n", | |
"BootStrap std 1.258299017826118\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "7QzETKpXDEus", | |
"outputId": "47ff886d-ee06-4423-b337-b7550521d67b" | |
}, | |
"source": [ | |
"x = np.linspace(130,190,1000)\n", | |
"plt.plot(x,rv_norm.pdf(x))\n", | |
"plt.vlines(mu,-0.002,+0.003, 'r', label=\"True Median\")\n", | |
"plt.vlines(np.median(sample_100),-0.002,+0.003, 'g', label=\"Sample Median\")\n", | |
"plt.vlines([res.confidence_interval[0],res.confidence_interval[1]],-0.002,+0.003, 'b', label=\"BS CI N=100\")\n", | |
"plt.ylabel('PDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)\n", | |
"plt.legend(fontsize=15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7f64169fdc10>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 146 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "77l8sMOtn6jz", | |
"outputId": "8586ae20-ba06-4d7c-b09a-431e0472321d" | |
}, | |
"source": [ | |
"data = (sample_1000,) # samples must be in a sequence\n", | |
"res = bootstrap(data, np.median, confidence_level=0.95, method='percentile')\n", | |
"print(\"True median {}\".format(mu))\n", | |
"print(\"BootStrap {}\".format(res.confidence_interval))\n", | |
"print(\"BootStrap std {}\".format(res.standard_error))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"True median 165\n", | |
"BootStrap ConfidenceInterval(low=163.43327011752865, high=165.47084561800636)\n", | |
"BootStrap std 0.5080328092857433\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 525 | |
}, | |
"id": "Ec8fLo7S8ULj", | |
"outputId": "8075d97b-ddc5-48aa-edba-5392d031c4a5" | |
}, | |
"source": [ | |
"x = np.linspace(130,190,1000)\n", | |
"plt.plot(x,rv_norm.pdf(x))\n", | |
"plt.vlines(mu,-0.002,+0.003, 'r', label=\"True Median\")\n", | |
"plt.vlines(np.median(sample_1000),-0.002,+0.003, 'g', label=\"Sample Median\")\n", | |
"plt.vlines([res.confidence_interval[0],res.confidence_interval[1]],-0.002,+0.003, 'b', label=\"BS CI N=1000\")\n", | |
"plt.ylabel('PDF', fontsize = 15)\n", | |
"plt.xlabel('Normal RV ' + r'$\\mu=165, \\sigma^2=100$', fontsize = 15)\n", | |
"plt.legend(fontsize=15)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7f64168c1a10>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 150 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "gGsF3fFyDcuH" | |
}, | |
"source": [ | |
"" | |
], | |
"execution_count": null, | |
"outputs": [] | |
} | |
] | |
} |
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