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GM3D/Variance stabilizing transformation.ipynb

Created August 4, 2020 02:24
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Variance stabilizing transformation.ipynb
{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Distributions",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Plots;gr()",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "Plots.GRBackend()"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "T, θ = 100, 0.2\nd = Binomial(T, θ)",
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "Binomial{Float64}(n=100, p=0.2)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "D = rand(d, 1000)./T;",
"execution_count": 19,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "histogram(D, bins=0:1/T:1)",
"execution_count": 21,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 21,
"data": {
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]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "f(x) = sqrt(T)*asin(2*x - 1)",
"execution_count": 22,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 22,
"data": {
"text/plain": "f (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "Y = f.(D)",
"execution_count": 23,
"outputs": [
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"source": "bins = range(-sqrt(T)*pi, stop=sqrt(T)*pi, length=10*T+1)\nhistogram(Y, bins=bins)",
"execution_count": 26,
"outputs": [
{
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