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@josef-pkt
Created March 12, 2021 18:58
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kernel density and cdf estimation using asymmetric kernels for interval and positive data (version at merge)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Asymmetric kernel for density and distribution estimation\n",
"\n",
"Examples here are for data supported on positive real line R+, y > 0, and for data in unit interval, 0 < y < 1.\n",
"\n",
"Several kernels have RuntimeWarnings and can produce NaNs if pdf is evaluated at y=0.\n",
"\n",
"There is currently no support for bandwidth selection, and there are no default rules of thumb.\n",
"The bandwidth in the examples have been selected by visual inspection of the plots."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Kernels on the positive real line\n",
"\n",
"Kernels densities can be estimated using a distribution that is defined for positive, or non-negative, data as kernel.\n",
"\n",
"Statsmodels provides kernels based on 7 distributions for data in R+. A second version of the gamma kernel, \"gamma2\", includes a boundary correction."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import stats\n",
"\n",
"import statsmodels.nonparametric.kernels_asymmetric as kern"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Create example data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"b = 2\n",
"scale = 1.5\n",
"np.random.seed(1)\n",
"nobs = 1000\n",
"distr0 = stats.gamma(b, scale=scale)\n",
"rvs = distr0.rvs(size=nobs)\n",
"x_plot = np.linspace(0.5, 16, 51) + 1e-13"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compute kernel pdf and cdf using Gamma kernel"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"bw = 0.1\n",
"\n",
"kde = kern.pdf_kernel_asym(x_plot, rvs, bw, \"gamma2\")\n",
"kce = kern.cdf_kernel_asym(x_plot, rvs, bw, \"gamma2\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x80cffb6988>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize = (14, 6))\n",
"ax = fig.add_subplot(1, 2,1)\n",
"ax.hist(rvs, bins=30, density=True, alpha=0.3)\n",
"ax.plot(x_plot, kde, lw=3, label=\"kde\")\n",
"ax.plot(x_plot, distr0.pdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
"ax.legend()\n",
"ax = fig.add_subplot(1, 2,2)\n",
"plt.hist(rvs, bins=20, density=True, alpha=1, cumulative=True, histtype='step', align=\"right\")\n",
"ax.plot(x_plot, kce, lw=3, color=\"r\", label=\"kde\")\n",
"ax.plot(x_plot, distr0.cdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Kernel pdf and cdf for all available kernels"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"kernels = [(\"gamma\", 0.1),\n",
" (\"gamma2\", 0.1),\n",
" (\"invgamma\", 0.02),\n",
" (\"invgauss\", 0.01),\n",
" (\"recipinvgauss\", 0.1),\n",
" (\"bs\", 0.1),\n",
" (\"lognorm\", 0.01),\n",
" (\"weibull\", 0.1),\n",
" ]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for name, bw in kernels:\n",
" kde = kern.pdf_kernel_asym(x_plot, rvs, bw, name)\n",
" kce = kern.cdf_kernel_asym(x_plot, rvs, bw, name)\n",
"\n",
" fig = plt.figure(figsize = (12, 4))\n",
" ax = fig.add_subplot(1, 2,1)\n",
" ax.hist(rvs, bins=30, density=True, alpha=0.3)\n",
" ax.plot(x_plot, kde, lw=3, label=\"kde\")\n",
" ax.plot(x_plot, distr0.pdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
" ax.legend()\n",
" ax.set_title(name + \" kernel\")\n",
" \n",
" ax = fig.add_subplot(1, 2,2)\n",
" plt.hist(rvs, bins=20, density=True, alpha=1, cumulative=True, histtype='step', align=\"right\")\n",
" ax.plot(x_plot, kce, lw=3, color=\"r\", label=\"kde\")\n",
" ax.plot(x_plot, distr0.cdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
" ax.legend()\n",
" ax.set_title(name + \" kernel\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### available kernel functions"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['_kernel_cdf_gamma',\n",
" '_kernel_pdf_gamma',\n",
" 'cdf_kernel_asym',\n",
" 'kernel_cdf_beta',\n",
" 'kernel_cdf_beta2',\n",
" 'kernel_cdf_bs',\n",
" 'kernel_cdf_gamma',\n",
" 'kernel_cdf_gamma2',\n",
" 'kernel_cdf_invgamma',\n",
" 'kernel_cdf_invgauss',\n",
" 'kernel_cdf_lognorm',\n",
" 'kernel_cdf_recipinvgauss',\n",
" 'kernel_cdf_weibull',\n",
" 'kernel_dict_cdf',\n",
" 'kernel_dict_pdf',\n",
" 'kernel_pdf_beta',\n",
" 'kernel_pdf_beta2',\n",
" 'kernel_pdf_bs',\n",
" 'kernel_pdf_gamma',\n",
" 'kernel_pdf_gamma2',\n",
" 'kernel_pdf_invgamma',\n",
" 'kernel_pdf_invgauss',\n",
" 'kernel_pdf_invgauss_',\n",
" 'kernel_pdf_lognorm',\n",
" 'kernel_pdf_lognorm_',\n",
" 'kernel_pdf_recipinvgauss',\n",
" 'kernel_pdf_recipinvgauss_',\n",
" 'kernel_pdf_weibull',\n",
" 'pdf_kernel_asym']"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"[i for i in dir(kern) if \"kernel\" in i]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Kernel estimation on unit interval using Beta kernels\n",
"\n",
"We can use a kernel based on the Beta distribution to estimate a kerned density or kernel distribution (cdf) when the support of the data is the unit interval.\n",
"\n",
"The second version of the beta kernel,\"beta2\", uses a boundary correction."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(987456)\n",
"nobs = 1000\n",
"distr0 = stats.beta(2, 10)\n",
"rvs = distr0.rvs(size=nobs)\n",
"x_plot = np.linspace(0, 1, 51)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"kernels = [(\"beta\", 0.005),\n",
" (\"beta2\", 0.005),\n",
" ]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for name, bw in kernels:\n",
" kde = kern.pdf_kernel_asym(x_plot, rvs, bw, name)\n",
" kce = kern.cdf_kernel_asym(x_plot, rvs, bw, name)\n",
"\n",
" fig = plt.figure(figsize = (12, 4))\n",
" ax = fig.add_subplot(1, 2,1)\n",
" ax.hist(rvs, bins=30, density=True, alpha=0.3)\n",
" ax.plot(x_plot, kde, lw=3, label=\"kde\")\n",
" ax.plot(x_plot, distr0.pdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
" ax.legend()\n",
" ax.set_title(name + \" kernel\")\n",
" \n",
" ax = fig.add_subplot(1, 2,2)\n",
" plt.hist(rvs, bins=20, density=True, alpha=1, cumulative=True, histtype='step', align=\"right\")\n",
" ax.plot(x_plot, kce, lw=3, color=\"r\", label=\"kde\")\n",
" ax.plot(x_plot, distr0.cdf(x_plot), lw=2, color=\"k\", label=\"dgp\")\n",
" ax.legend()\n",
" ax.set_title(name + \" kernel\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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