Skip to content

Instantly share code, notes, and snippets.

@chandinijain
Last active September 11, 2020 19:30
Show Gist options
  • Save chandinijain/10108ce45d01d8bd5a8b86ca270a1a7f to your computer and use it in GitHub Desktop.
Save chandinijain/10108ce45d01d8bd5a8b86ca270a1a7f to your computer and use it in GitHub Desktop.
Time Series Analysis
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Moving Average Models - MA(q)\n",
"\n",
"MA(q) models are very similar to AR(p) models. MA(q) model is a linear combination of past error terms as opposed to a linear combination of past observations like the AR(p) model. The motivation for the MA model is that we can explain \"shocks\" in the error process directly by fitting a model to the error terms. (In an AR(p) model these shocks are observed indirectly by using past observations) \n",
"\n",
"$$x_t=w_t+\\beta_1w_{t-1}+…+\\beta_qw_{t-q}$$ \n",
"\n",
"Where $w_t$ is white noise with $E(w_t)=0$ and variance $\\sigma^2$\n",
"\n",
"By definition, ACF $\\rho_k$ should be zero for k>q.\n",
"\n",
"Let's simulate this process using $\\beta$=0.6 and specifying the AR(p) $\\alpha$ equal to 0."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI4CAYAAAB3OR9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xcecc4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simulate an MA(1) process\n",
"\n",
"n = int(1000)\n",
"\n",
"# set the AR(p) alphas equal to 0\n",
"alphas = np.array([0.])\n",
"betas = np.array([0.6])\n",
"\n",
"# add zero-lag and negate alphas\n",
"ar = np.r_[1, -alphas]\n",
"ma = np.r_[1, betas]\n",
"\n",
"ma1 = smt.arma_generate_sample(ar=ar, ma=ma, nsample=n) \n",
"_ = tsplot(ma1, lags=30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since q=1, we expect a significant peak at k=1 at ACF and then insignificant peaks subsequent to that. \n",
"\n",
"Just like we use PACF for AR(p) models, this is a useful way of seeing whether an MA(q) model is appropriate. By taking a look at the ACF of a particular series we can see how many sequential non-zero lags exist. If q such lags exist then we can legitimately attempt to fit a MA(q) model to a particular series.\n",
"\n",
"The ACF function shows that lag 1 is significant which indicates that a MA(1) model may be appropriate for our simulated series. We can now attempt to fit a MA(1) model to our simulated data. "
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: y No. Observations: 1000\n",
"Model: ARMA(0, 1) Log Likelihood -1442.974\n",
"Method: mle S.D. of innovations 1.024\n",
"Date: Mon, 27 Feb 2017 AIC 2889.949\n",
"Time: 21:25:57 BIC 2899.764\n",
"Sample: 0 HQIC 2893.679\n",
" \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ma.L1.y 0.5729 0.025 22.791 0.000 0.524 0.622\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"MA.1 -1.7457 +0.0000j 1.7457 0.5000\n",
"-----------------------------------------------------------------------------\n"
]
}
],
"source": [
"# Fit the MA(1) model to our simulated time series\n",
"# Specify ARMA model with order (p, q)\n",
"\n",
"max_lag = 30\n",
"mdl = smt.ARMA(ma1, order=(0, 1)).fit(\n",
" maxlag=max_lag, method='mle', trend='nc')\n",
"print(mdl.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model was able to correctly estimate the lag coefficent as 0.58 is close to our true value of 0.6. Also notice that our 95% confidence interval does contain the true value. "
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The residuals seem normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try simulating an MA(3) process, then try to fit a third order MA model to the series and see if we can recover the correct lag coefficients ($\\beta s$). Betas 1-3 are equal to 0.3, 0.2, and 0.1 respectively.\n",
"This time we should expect significant peaks at k = {1,2,3}, and insignificant peaks for k>3 in ACF plots."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI4CAYAAAB3OR9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGGOMMSaCdZCNMcYYY4yJ8P8APKoelbFcitYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe610358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simulate MA(3) process with betas 0.3, 0.2, 0.1\n",
"\n",
"n = int(500)\n",
"alphas = np.array([0.])\n",
"betas = np.array([0.3, 0.2, 0.1])\n",
"ar = np.r_[1, -alphas]\n",
"ma = np.r_[1, betas]\n",
"\n",
"ma3 = smt.arma_generate_sample(ar=ar, ma=ma, nsample=n)\n",
"_ = tsplot(ma3, lags=30)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: y No. Observations: 500\n",
"Model: ARMA(0, 3) Log Likelihood -698.240\n",
"Method: mle S.D. of innovations 0.978\n",
"Date: Mon, 27 Feb 2017 AIC 1404.481\n",
"Time: 21:26:34 BIC 1421.339\n",
"Sample: 0 HQIC 1411.096\n",
" \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ma.L1.y 0.3908 0.045 8.729 0.000 0.303 0.479\n",
"ma.L2.y 0.1834 0.048 3.826 0.000 0.089 0.277\n",
"ma.L3.y 0.1252 0.042 2.993 0.003 0.043 0.207\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"MA.1 -1.9560 -0.0000j 1.9560 -0.5000\n",
"MA.2 0.2459 -2.0054j 2.0204 -0.2306\n",
"MA.3 0.2459 +2.0054j 2.0204 0.2306\n",
"-----------------------------------------------------------------------------\n"
]
}
],
"source": [
"# Fit MA(3) model to simulated time series\n",
"\n",
"max_lag = 30\n",
"mdl = smt.ARMA(ma3, order=(0, 3)).fit(\n",
" maxlag=max_lag, method='mle', trend='nc')\n",
"print(mdl.summary())"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The residuals seem normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model was able to estimate the real coefficients effectively. Our 95% confidence intervals also contain the true parameter values of 0.3, 0.2, and 0.1. \n",
"\n",
"Now let's follow the earlier exercise and fit a MA(1) model to the AAPL log returns and plot residuals again. Keep in mind we do not know the true parameter values."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: AAPL No. Observations: 2015\n",
"Model: ARMA(0, 1) Log Likelihood 4841.443\n",
"Method: mle S.D. of innovations 0.022\n",
"Date: Mon, 27 Feb 2017 AIC -9678.886\n",
"Time: 21:26:48 BIC -9667.670\n",
"Sample: 12-29-2006 HQIC -9674.769\n",
" - 12-31-2014 \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ma.L1.AAPL 0.0026 0.023 0.110 0.912 -0.043 0.048\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"MA.1 -391.8957 +0.0000j 391.8957 0.5000\n",
"-----------------------------------------------------------------------------\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAI4CAYAAAB+0r8VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xd03d2e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Fit MA(1) to AAPL log returns\n",
"\n",
"max_lag = 30\n",
"Y = lrets.AAPL\n",
"mdl = smt.ARMA(Y, order=(0, 1)).fit(\n",
" maxlag=max_lag, method='mle', trend='nc')\n",
"print(mdl.summary())\n",
"_ = tsplot(mdl.resid, lags=max_lag)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see some significant peaks at k=4, k=11 and k=16. Let's try MA(2)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: AAPL No. Observations: 2015\n",
"Model: ARMA(0, 2) Log Likelihood 4842.456\n",
"Method: mle S.D. of innovations 0.022\n",
"Date: Mon, 27 Feb 2017 AIC -9678.912\n",
"Time: 21:26:53 BIC -9662.087\n",
"Sample: 12-29-2006 HQIC -9672.737\n",
" - 12-31-2014 \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ma.L1.AAPL 0.0032 0.022 0.143 0.886 -0.040 0.047\n",
"ma.L2.AAPL -0.0298 0.021 -1.423 0.155 -0.071 0.011\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"MA.1 -5.7393 +0.0000j 5.7393 0.5000\n",
"MA.2 5.8463 +0.0000j 5.8463 0.0000\n",
"-----------------------------------------------------------------------------\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAI4CAYAAAB+0r8VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\negAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe5664e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Fit MA(2) to AAPL log returns\n",
"\n",
"max_lag = 30\n",
"Y = lrets.AAPL\n",
"mdl = smt.ARMA(Y, order=(0, 2)).fit(\n",
" maxlag=max_lag, method='mle', trend='nc')\n",
"print(mdl.summary())\n",
"_ = tsplot(mdl.resid, lags=max_lag)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see marginally significant peaks at k=4, k=16. This is suggestive that the MA(2) model is capturing a lot of the autocorrelation, but not all of the long-memory effects. We could keep increasing the order, but we'd still notice these peaks because we'll be adding a new parameter to a model that has seemingly explained away much of the correlations at shorter lags, but that won't have much of an effect on the longer term lags.\n",
"\n",
"All of this evidence is suggestive of the fact that an MA(q) model is unlikely to be useful in explaining all of the serial correlation in isolation, at least for AAPL."
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We have reason to suspect the residuals are not normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's also try to fit a MA(3) model to the SPX log returns and plot residuals again. "
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: SPX No. Observations: 2015\n",
"Model: ARMA(0, 3) Log Likelihood 5754.538\n",
"Method: mle S.D. of innovations 0.014\n",
"Date: Mon, 27 Feb 2017 AIC -11501.075\n",
"Time: 21:07:50 BIC -11478.642\n",
"Sample: 12-29-2006 HQIC -11492.841\n",
" - 12-31-2014 \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ma.L1.SPX -0.1193 0.022 -5.366 0.000 -0.163 -0.076\n",
"ma.L2.SPX -0.0515 0.023 -2.246 0.025 -0.096 -0.007\n",
"ma.L3.SPX 0.0308 0.022 1.410 0.159 -0.012 0.074\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"MA.1 -3.0610 -0.0000j 3.0610 -0.5000\n",
"MA.2 2.3678 -2.2388j 3.2587 -0.1205\n",
"MA.3 2.3678 +2.2388j 3.2587 0.1205\n",
"-----------------------------------------------------------------------------\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI4CAYAAAB3OR9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npUP/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbb47208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Fit MA(3) to SPX log returns\n",
"\n",
"max_lag = 30\n",
"Y = lrets.SPX\n",
"mdl = smt.ARMA(Y, order=(0, 3)).fit(\n",
" maxlag=max_lag, method='mle', trend='nc')\n",
"print(mdl.summary())\n",
"_ = tsplot(mdl.resid, lags=max_lag)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see significant peaks at many longer lags in the residuals. Once again, we find the MA(3) model is not a good fit."
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We have reason to suspect the residuals are not normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We've now examined two major time series models in detail, namely the Autogressive model of order p, AR(p) and then Moving Average of order q, MA(q). We've seen that they're both capable of explaining away some of the autocorrelation in the residuals of first order differenced daily log prices of equities and indices, but volatility clustering and long-memory effects persist.\n",
"\n",
"It is finally time to turn our attention to the combination of these two models, namely the Autoregressive Moving Average of order p,q, ARMA(p,q) to see if it will improve the situation any further."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment