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@pierdom
Last active January 19, 2022 10:30
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[Find best fitting distributions] Find the best fitting PDFs (power distribution functions) from a list of well-known distributions in scipy. Inspired by this: https://stackoverflow.com/questions/6620471/fitting-empirical-distribution-to-theoretical-ones-with-scipy-python #datascience #python #matplotlib #visualization #statistics
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib\n",
"matplotlib.use(\"Agg\")\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import seaborn as sns\n",
"import pandas as pd\n",
"import numpy as np\n",
"import warnings\n",
"\n",
"sns.set_style(\"whitegrid\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from scipy.stats import norm,rayleigh,poisson,pareto\n",
"import scipy.stats as st"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"DISTRIBUTIONS = [ \n",
" st.alpha,st.anglit,st.arcsine,st.beta,st.betaprime,st.bradford,st.burr,st.cauchy,st.chi,st.chi2,st.cosine,\n",
" st.dgamma,st.dweibull,st.erlang,st.expon,st.exponnorm,st.exponweib,st.exponpow,st.f,st.fatiguelife,st.fisk,\n",
" st.foldcauchy,st.foldnorm,st.frechet_r,st.frechet_l,st.genlogistic,st.genpareto,st.gennorm,st.genexpon,\n",
" st.genextreme,st.gausshyper,st.gamma,st.gengamma,st.genhalflogistic,st.gilbrat,st.gompertz,st.gumbel_r,\n",
" st.gumbel_l,st.halfcauchy,st.halflogistic,st.halfnorm,st.halfgennorm,st.hypsecant,st.invgamma,st.invgauss,\n",
" st.invweibull,st.johnsonsb,st.johnsonsu,st.ksone,st.kstwobign,st.laplace,st.levy,st.levy_l,st.levy_stable,\n",
" st.logistic,st.loggamma,st.loglaplace,st.lognorm,st.lomax,st.maxwell,st.mielke,st.nakagami,st.ncx2,st.ncf,\n",
" st.nct,st.norm,st.pareto,st.pearson3,st.powerlaw,st.powerlognorm,st.powernorm,st.rdist,st.reciprocal,\n",
" st.rayleigh,st.rice,st.recipinvgauss,st.semicircular,st.t,st.triang,st.truncexpon,st.truncnorm,st.tukeylambda,\n",
" st.uniform,st.vonmises,st.vonmises_line,st.wald,st.weibull_min,st.weibull_max,st.wrapcauchy\n",
" ]"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
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AAAYj1AAAGIxQAwBgMEINAIDBCDUAAAYj1AAAGIxQAwBgMEINAIDBCDUAAAYj1AAAGIxQ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\nAMBghBoAAIMRagAADPZ/1u5QYQypJegAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121e720b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_csv(\"/tmp/mcd_data.csv\", index_col=0)\n",
"variable=\"wt_minutes\"\n",
"\n",
"mydistr = df[variable].values\n",
"mydistr_x = np.linspace(mydistr.min(),mydistr.max(),120)\n",
"_ = sns.distplot(mydistr, bins=mydistr_x, kde=False)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [],
"source": [
"distribution_list = [st.pareto,st.rayleigh,st.norm,st.lognorm,\n",
" st.alpha,st.gamma,st.dgamma,st.levy,st.laplace,\n",
" st.rice,st.pearson3,st.wald,st.logistic,st.loggamma,\n",
" st.laplace,st.chi2,st.levy,st.logistic,st.loglaplace,\n",
" st.maxwell,st.weibull_min,st.genpareto,st.exponnorm\n",
" ]\n",
"\n",
"distribution_fitting = []\n",
"\n",
"for ref_distr in distribution_list:\n",
" distr_name = type(ref_distr).__name__.split(\"_\")[0]\n",
" \n",
" try:\n",
" with warnings.catch_warnings():\n",
" warnings.simplefilter(\"ignore\")\n",
" \n",
" params = ref_distr.fit(mydistr)\n",
" \n",
" arg = params[:-2]\n",
" loc = params[-2]\n",
" scale = params[-1]\n",
" \n",
" pdf_fitted = ref_distr.pdf(mydistr_x,loc=loc,scale=scale,*arg)\n",
" \n",
" sse = np.sum(np.power(mydistr_x - pdf_fitted, 2.0))\n",
" mle = ref_distr.nnlf(params, mydistr)\n",
" \n",
" distribution_fitting.append({\"distr_name\": distr_name, \"sse\": sse, \"mle\": mle, \"pdf_fitted\": pdf_fitted, \"params\": params})\n",
" \n",
" except Exception:\n",
" print(\"Discarded function: {}\".format(distr_name))"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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M+ZXzLEqWLPlGzieE+PBJwiKE+KjlvDzlDIOysLAAnk8Cf9mVK1eYNm0asbGxwPPhTePH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\nIYQQQohWSwIWIYQQQgghRKv1/wHVMeNchQJS9QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x132132fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1,dpi=120)\n",
"_ = ax.hist(mydistr, mydistr_x, normed=True, color=\"gray\", alpha=0.4) \n",
"\n",
"top = 8\n",
"\n",
"ax.set_prop_cycle('color',plt.cm.rainbow(np.linspace(0,1,top)))\n",
"ax.set_title(\"Best fitting PDFs (by SSE)\")\n",
"\n",
"sort_by = \"sse\"\n",
"for d in sorted(distribution_fitting, key=lambda k: k[sort_by])[:top]:\n",
" distr_name = d['distr_name']\n",
" sse = d['sse']\n",
" pdf_fitted = d['pdf_fitted']\n",
" params = d['params']\n",
" \n",
" label = \"{} [{:.2f}]\".format(distr_name,sse)\n",
" _ = ax.plot(mydistr_x, pdf_fitted, label=label)\n",
" \n",
"_ = ax.legend()"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0vK+lpSUVKlTg8uXLuLq6EhAQgIWFBb6+vqrRjcaNG9O9e3dmz57N1q1bMTY2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\n02ZeyDsjpzImtJSqlgYAJrbs4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38+s2fP5owzzuC+++7L+13I0Vm+fHmX79mOx09+8hNA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\nMsM9txof/KoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1349a1c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1,dpi=120)\n",
"_ = ax.hist(mydistr, mydistr_x, normed=True, color=\"gray\", alpha=0.4) \n",
"\n",
"top = 5\n",
"\n",
"ax.set_prop_cycle('color',plt.cm.rainbow(np.linspace(0,1,top)))\n",
"ax.set_title(\"Best fitting PDFs (by MLE)\")\n",
"\n",
"sort_by = \"mle\"\n",
"for d in sorted(distribution_fitting, key=lambda k: k[sort_by])[:top]:\n",
" distr_name = d['distr_name']\n",
" mle = d['mle']\n",
" pdf_fitted = d['pdf_fitted']\n",
" params = d['params']\n",
" \n",
" label = \"{} [{:.2f}]\".format(distr_name,mle)\n",
" _ = ax.plot(mydistr_x, pdf_fitted, label=label)\n",
" \n",
"_ = ax.legend()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
# import matplotlib and set inline
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
%matplotlib inline
# import other libraries
import scipy.stats as st
import seaborn as sns
import pandas as pd
import numpy as np
import warnings
# set seaborn style
sns.set_style("whitegrid")
# my distribution
mydistr = ...
# X axis with custom binning (change here, depending on what you need)
mydistr_x = np.linspace(mydistr.min(),mydistr.max(),int(mydistr.max()))
# define a set of distributions to check
distribution_list = [
st.alpha,st.anglit,st.arcsine,st.beta,st.betaprime,st.bradford,st.burr,st.cauchy,st.chi,st.chi2,st.cosine,
st.dgamma,st.dweibull,st.erlang,st.expon,st.exponnorm,st.exponweib,st.exponpow,st.f,st.fatiguelife,st.fisk,
st.foldcauchy,st.foldnorm,st.frechet_r,st.frechet_l,st.genlogistic,st.genpareto,st.gennorm,st.genexpon,
st.genextreme,st.gausshyper,st.gamma,st.gengamma,st.genhalflogistic,st.gilbrat,st.gompertz,st.gumbel_r,
st.gumbel_l,st.halfcauchy,st.halflogistic,st.halfnorm,st.halfgennorm,st.hypsecant,st.invgamma,st.invgauss,
st.invweibull,st.johnsonsb,st.johnsonsu,st.ksone,st.kstwobign,st.laplace,st.levy,st.levy_l,st.levy_stable,
st.logistic,st.loggamma,st.loglaplace,st.lognorm,st.lomax,st.maxwell,st.mielke,st.nakagami,st.ncx2,st.ncf,
st.nct,st.norm,st.pareto,st.pearson3,st.powerlaw,st.powerlognorm,st.powernorm,st.rdist,st.reciprocal,
st.rayleigh,st.rice,st.recipinvgauss,st.semicircular,st.t,st.triang,st.truncexpon,st.truncnorm,st.tukeylambda,
st.uniform,st.vonmises,st.vonmises_line,st.wald,st.weibull_min,st.weibull_max,st.wrapcauchy
]
# this list will contain the result of the fittings
distribution_fitting = []
# fit every distribution in the list above
for ref_distr in distribution_list:
# pick distribution name
distr_name = type(ref_distr).__name__.split("_")[0]
try:
# ignore warnings
with warnings.catch_warnings():
warnings.simplefilter("ignore")
# get parameters from the best fit
params = ref_distr.fit(mydistr)
arg = params[:-2]
loc = params[-2]
scale = params[-1]
# build the PDF from previous parameters
pdf_fitted = ref_distr.pdf(mydistr_x,loc=loc,scale=scale,*arg)
# calculate maximum likelihood estimator
mle = ref_distr.nnlf(params, mydistr)
# as an alternative: sum of square error
sse = np.sum(np.power(mydistr_x - pdf_fitted, 2.0))
# add results to list
distribution_fitting.append({
"distr_name": distr_name, "mle": mle, "sse":sse,
"pdf_fitted": pdf_fitted, "params": params})
# ignore distributions that could not be fitted
except Exception:
print("Discarded function: {}".format(distr_name))
# plot data histograms
fig, ax = plt.subplots(1,1,dpi=120)
_ = ax.hist(mydistr, mydistr_x, normed=True, color="gray", alpha=0.4)
# set stuff for this axis
ax.set_prop_cycle('color',plt.cm.rainbow(np.linspace(0,1,top)))
ax.set_title("Best fitting PDFs")
# just print TOP distributions according to maxim. likelihood estimator
top = 5
sort_by = "mle" # or sse
for d in sorted(distribution_fitting, key=lambda k: k[sort_by])[:top]:
distr_name = d['distr_name']
mle = d['mle']
pdf_fitted = d['pdf_fitted']
params = d['params']
label = "{} [{:.2f}]".format(distr_name,mle)
_ = ax.plot(mydistr_x, pdf_fitted, label=label)
_ = ax.legend()
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