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@jbwhit
Last active July 9, 2017 02:07
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Insight IPython Notebook quick seminar
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{
"metadata": {
"name": "",
"signature": "sha256:949dc49d39da4ef631ec7a0ba8ff8f0bd79ac2205a5b73eabf15388ace80951b"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"# The following line is an ipython notebook trick\n",
"%matplotlib inline \n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import Image\n",
"import numpy as np\n",
"\n",
"plt.rcParams['figure.figsize'] = 12, 8 # plotsize"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create a [list] \n",
"days_of_the_week = ['Monday',\n",
" 'Tuesday',\n",
" 'Wednesday',\n",
" 'Thursday',\n",
" 'Friday',\n",
" 'Saturday',\n",
" 'Sunday', ]\n",
"\n",
"days_of_the_week"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday', 'Sunday']"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Simple for-loop\n",
"for day in days_of_the_week:\n",
" print day"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Monday\n",
"Tuesday\n",
"Wednesday\n",
"Thursday\n",
"Friday\n",
"Saturday\n",
"Sunday\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Double for-loop\n",
"for day in days_of_the_week:\n",
" for letter in day:\n",
" print letter,"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"M o n d a y T u e s d a y W e d n e s d a y T h u r s d a y F r i d a y S a t u r d a y S u n d a y\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for day in days_of_the_week:\n",
" for letter in day:\n",
" print letter.lower(),"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"m o n d a y t u e s d a y w e d n e s d a y t h u r s d a y f r i d a y s a t u r d a y s u n d a y\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"letters = [letter for day in days_of_the_week \n",
" for letter in day]\n",
"\n",
"\n",
"letters = [letter for day in days_of_the_week for letter in day]\n",
"print letters"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['M', 'o', 'n', 'd', 'a', 'y', 'T', 'u', 'e', 's', 'd', 'a', 'y', 'W', 'e', 'd', 'n', 'e', 's', 'd', 'a', 'y', 'T', 'h', 'u', 'r', 's', 'd', 'a', 'y', 'F', 'r', 'i', 'd', 'a', 'y', 'S', 'a', 't', 'u', 'r', 'd', 'a', 'y', 'S', 'u', 'n', 'd', 'a', 'y']\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sorted_letters = sorted([x.lower() for x in letters])\n",
"print sorted_letters"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['a', 'a', 'a', 'a', 'a', 'a', 'a', 'a', 'd', 'd', 'd', 'd', 'd', 'd', 'd', 'd', 'e', 'e', 'e', 'f', 'h', 'i', 'm', 'n', 'n', 'n', 'o', 'r', 'r', 'r', 's', 's', 's', 's', 's', 't', 't', 't', 'u', 'u', 'u', 'u', 'w', 'y', 'y', 'y', 'y', 'y', 'y', 'y']\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"unique_sorted_letters = sorted(set(sorted_letters))\n",
"print \"There are\", len(unique_sorted_letters), \"unique letters in the days of the week.\"\n",
"print \"They are:\", ''.join(unique_sorted_letters)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"There are 15 unique letters in the days of the week.\n",
"They are: adefhimnorstuwy\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def first_three(input_string):\n",
" \"\"\"Takes an input string and returns the first 3 characters.\"\"\"\n",
" return input_string[:3]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"[first_three(day) for day in days_of_the_week]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun']"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def last_N(input_string, number=2):\n",
" \"\"\"Takes an input string and returns the last N characters.\"\"\"\n",
" return input_string[-number:]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"[last_N(day, 153) for day in days_of_the_week if len(day) > 6]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"['Tuesday', 'Wednesday', 'Thursday', 'Saturday']"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import pi\n",
"\n",
"print [str(round(pi, i)) for i in xrange(2, 9)]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['3.14', '3.142', '3.1416', '3.14159', '3.141593', '3.1415927', '3.14159265']\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"list_of_lists = [[i, round(pi, i)] for i in xrange(2, 9)]\n",
"print list_of_lists"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[2, 3.14], [3, 3.142], [4, 3.1416], [5, 3.14159], [6, 3.141593], [7, 3.1415927], [8, 3.14159265]]\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Let this be a warning to you!\n",
"\n",
"# If you see python code like the following in your work:\n",
"\n",
"for x in range(len(list_of_lists)):\n",
" print \"Decimals:\", list_of_lists[x][0], \n",
" print \"expression:\", list_of_lists[x][1]\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Decimals: 2 expression: 3.14\n",
"Decimals: 3 expression: 3.142\n",
"Decimals: 4 expression: 3.1416\n",
"Decimals: 5 expression: 3.14159\n",
"Decimals: 6 expression: 3.141593\n",
"Decimals: 7 expression: 3.1415927\n",
"Decimals: 8 expression: 3.14159265\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for decimal, number in list_of_lists:\n",
" print \"Decimals:\", decimal,\n",
" print \"expression:\", number\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Decimals: 2 expression: 3.14\n",
"Decimals: 3 expression: 3.142\n",
"Decimals: 4 expression: 3.1416\n",
"Decimals: 5 expression: 3.14159\n",
"Decimals: 6 expression: 3.141593\n",
"Decimals: 7 expression: 3.1415927\n",
"Decimals: 8 expression: 3.14159265\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = np.arange(10000)\n",
"\n",
"print \"x -> \", x # notice the smart printing\n",
"print \"x[:] -> \", x[:]\n",
"print \"x[0] -> \", x[0] # first element \n",
"print \"x[0:5] -> \", x[0:5] # first 5 elements\n",
"print \"x[-1] -> \", x[-1] # last element"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"x -> [ 0 1 2 ..., 9997 9998 9999]\n",
"x[:] -> [ 0 1 2 ..., 9997 9998 9999]\n",
"x[0] -> 0\n",
"x[0:5] -> [0 1 2 3 4]\n",
"x[-1] -> 9999\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# A bit more complicated slicing\n",
"print x[-5:] # last five elements\n",
"print x[-5:-2] # \n",
"print x[-5:-1] # last 4 elements (not final value)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[9995 9996 9997 9998 9999]\n",
"[9995 9996 9997]\n",
"[9995 9996 9997 9998]\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reading/writing files"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Single physical cloud with following physical parameters\n",
"def GaussFunc(x, amplitude, centroid, sigma):\n",
" \"\"\"Takes an array, and calculates a Gaussian with the following parameters. \"\"\"\n",
" return amplitude * np.exp(-0.5 * ((x - centroid) / sigma)**2)\n",
"\n",
"feature_centroid = 5315.3\n",
"feature_amplitude = 2.3\n",
"feature_sigma = 1.5\n",
"\n",
"wavelength = np.linspace(5305., 5330., 120)\n",
"tau = GaussFunc(wavelength, feature_amplitude, feature_centroid, feature_sigma)\n",
"\n",
"flux = np.exp(-tau)\n",
"sigma = 0.05\n",
"noise = np.random.randn(len(flux)) * sigma\n",
"observed = flux + noise\n",
"error = np.ones_like(wavelength) * sigma"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(wavelength, flux) \n",
"plt.plot(wavelength, observed) "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"[<matplotlib.lines.Line2D at 0x1081ba2d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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36wUtZwvDefdcIo+MrPu21R07Fs2xY9Gm3cmMwtC/mO9x4KlqX+sr3SlfHfxK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\nX0/+Smefzlznf52ZI20cdjZ2BLsHc/b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JIYSVNeb8Kmm9EK3KkiWwbh1kjx/Jc0OfY3TE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\nkiRJkiRJSnj/P9wFbQQ+xwQoAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1081ba410>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.savetxt(\"example.txt\", np.transpose((wavelength, observed, flux, error, noise)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# If you see yourself doing this kind of thing... \n",
"\n",
"wave = []\n",
"observed_flux = []\n",
"error = []\n",
"\n",
"for line in open(\"example.txt\", 'r'):\n",
" line = line.split()\n",
" wave.append(float(line[0]))\n",
" observed_flux.append(float(line[1]))\n",
" error.append(float(line[3]))\n",
" \n",
"wave = np.array(wave)\n",
"observed_flux = np.array(observed_flux)\n",
"error = np.array(error)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%less example.txt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Do this instead\n",
"wave, observed_flux, error = np.loadtxt(\"example.txt\", usecols=(0, 1, 3), unpack=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dictionaries and lists"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"wavelength = np.linspace(5305., 5330., 120)\n",
"tau = GaussFunc(wavelength, feature_amplitude, feature_centroid, feature_sigma)\n",
"\n",
"flux = np.exp(-tau)\n",
"sigma = 0.05\n",
"noise = np.random.randn(len(flux)) * sigma\n",
"observed = flux + noise\n",
"error = np.ones_like(wavelength) * sigma"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sigma = 0.05\n",
"\n",
"exposure_one = {}\n",
"exposure_one['wave'] = np.linspace(5305., 5330., 120)\n",
"exposure_one['observed'] = np.exp(-tau) + np.random.randn(len(flux)) * sigma\n",
"exposure_one['error'] = np.ones_like(wavelength) * sigma\n",
"exposure_one['color'] = \"blue\"\n",
"exposure_one['label'] = \"Exp. 01\"\n",
"\n",
"exposure_two = {}\n",
"exposure_two['wave'] = np.linspace(5305., 5330., 120)\n",
"exposure_two['observed'] = np.exp(-tau) + np.random.randn(len(flux)) * sigma\n",
"exposure_two['error'] = np.ones_like(wavelength) * sigma\n",
"exposure_two['color'] = \"red\"\n",
"exposure_two['label'] = \"Exp. 02\"\n",
"\n",
"exposure_three = {}\n",
"exposure_three['wave'] = np.linspace(5305., 5330., 120)\n",
"exposure_three['observed'] = np.exp(-tau) + np.random.randn(len(flux)) * sigma\n",
"exposure_three['error'] = np.ones_like(wavelength) * sigma\n",
"exposure_three['color'] = \"green\"\n",
"exposure_three['label'] = \"Exp. 03\"\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(exposure_one['wave'], exposure_one['observed'], color=exposure_one['color'], label=exposure_one['label'] )\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 27,
"text": [
"<matplotlib.legend.Legend at 0x1081cce50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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l739vlepYunWz6kKspQMjg7JE+wVQaP79b+nkk2u/9ybqU45XBHCUlNhaveXl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\nSZIkSZIkSZIkSZIkSZIkSZIkSVLD+z/qhcAZ6ehvswAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1081cc2d0>"
]
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"list_of_exposures = [exposure_one, exposure_two, exposure_three]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for dummy_dictionary in list_of_exposures:\n",
" plt.plot(dummy_dictionary['wave'], \n",
" dummy_dictionary['observed'], \n",
" color=dummy_dictionary['color'], \n",
" label=dummy_dictionary['label'])\n",
"plt.legend(loc=4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"<matplotlib.legend.Legend at 0x10775e350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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CinbjgyTfuY7H3soePpVP4WTPJ+rnOI7D5YC/4kzH9zi74ixau1vR3NVs9Jjy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\nyvbKLjotXWpbftG97KLTQEG5MovYAKMmL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"text": [
"<matplotlib.figure.Figure at 0x10775e610>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## [Statistics, Data Mining, and Machine Learning in Astronomy](http://www.amazon.com/Statistics-Mining-Machine-Learning-Astronomy-ebook/dp/B00I3HQMNQ/) \n",
"\n",
"I share here a number of the free code examples that I think just scratch the surface of the really good content of the book. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The official website for AstroML python code is available: \n",
"\n",
"## [http://www.astroml.org/](http://www.astroml.org/)\n",
"\n",
"Free, open source code to reproduce every example in the book. \n",
"\n",
"## [https://github.com/astroML/astroML](https://github.com/astroML/astroML)\n",
"\n",
"\n",
" "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(filename='text_cover1.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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JdK1L3ZQEeFHLLpyzFfHnSrFVcXJWbCPOpDNwl9pu5/P1yQo2Cv7wvK43NyAv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ZYlSGPcZOkGsPwWbaqmqnwNeTKT4fnpMA5U3aaKA3DszWyYa247BMzM0SxlazOioFVE4QwnVKhz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O25wBq1qmHUBd14kIWRSMEi+gwiUnSSn4KW518YG0a+/cXEI+xcSdXGHVtbpVR2Uzj/cfH2R7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"prompt_number": 30,
"text": [
"<IPython.core.display.Image at 0x107349dd0>"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Contents\n",
"----------\n",
"\n",
" - ### Chapter 1: Introduction\n",
" - ### Chapter 2: Fast Computation and Massive Datasets\n",
" - ### Chapter 3: Probability and Statistical Distributions\n",
" - ### Chapter 4: Classical Statistical Inference\n",
" - ### Chapter 5: Bayesian Statistical Inference\n",
" - ### Chapter 6: Searching for Structure in Point Data\n",
" - ### Chapter 7: Dimensionality and its Reduction\n",
" - ### Chapter 8: Regression and Model Fitting\n",
" - ### Chapter 9: Classification\n",
" - ### Chapter 10: Time Series Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bayesian Blocks for Histograms\n",
"--------------------------------\n",
"\n",
"Bayesian Blocks is a dynamic histogramming method which optimizes one of several possible fitness functions to determine an optimal binning for data, where the bins are not necessarily uniform width. \n",
"\n",
"The code below uses a fitness function suitable for event data with possible repeats.\n",
" \n",
"source: http://www.astroml.org/examples/algorithms/plot_bayesian_blocks.html"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Author: Jake VanderPlas <vanderplas@astro.washington.edu>\n",
"# License: BSD\n",
"# The figure is an example from astroML: see http://astroML.github.com\n",
"# Example has been modified slightly by Jonathan Whitmore\n",
"import numpy as np\n",
"from scipy import stats\n",
"from matplotlib import pyplot as plt\n",
"\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import astroML\n",
"# import astroML.plotting\n",
"from astroML.plotting import hist\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# draw a set of variables\n",
"np.random.seed(0)\n",
"t = np.concatenate([stats.cauchy(-5, 1.8).rvs(500),\n",
" stats.cauchy(-4, 0.8).rvs(2000),\n",
" stats.cauchy(-1, 0.3).rvs(500),\n",
" stats.cauchy(2, 0.8).rvs(1000),\n",
" stats.cauchy(4, 1.5).rvs(500)])\n",
"\n",
"# truncate values to a reasonable range\n",
"t = t[(t > -15) & (t < 15)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.rcParams['figure.figsize'] = 12, 8 # plotsize\n",
"\n",
"xval = np.linspace(-15, 15, 2000)\n",
"\n",
"jw = stats.cauchy(-5, 1.8).pdf(xval) * 500 \n",
"jw += stats.cauchy(-4, 0.8).pdf(xval) * 2000\n",
"jw += stats.cauchy(-1, 0.3).pdf(xval) * 500\n",
"jw += stats.cauchy(2, 0.8).pdf(xval) * 1000\n",
"jw += stats.cauchy(4, 1.5).pdf(xval)* 500\n",
"jw = jw / 2000.0\n",
"plt.xlabel(\"t\", fontsize=25)\n",
"plt.ylabel(\"Some PDF\", fontsize=25)\n",
"plt.xticks(fontsize=25)\n",
"plt.yticks(fontsize=25)\n",
"plt.ylim(0, 0.5)\n",
"plt.plot(xval, jw)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": [
"[<matplotlib.lines.Line2D at 0x10c925ad0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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Kw39nQovPtXWoRZLKksS2n169oKkpXf3xLvXZtuXL4ZZb4JVX4q5EkqJVafh/\nGOiOffySYpTEth9I33Kfhv/WrVkDRxwBv/gFjB0LjzwSd0WSFJ1Kw//fCKv7nFCHWiSpLEls+4H0\nTfq17ad1P/85dO4M48fDjTfCWWfBypVxVyVJ0ag0/N8E/By4Ejgs+nIkqWMzZsBmm8VdxccNHpyu\nSb+O/H/c6tVwxRXwwx9Cp07wyU/CVlvBrbfGXZkkRaOadf6/AnwA/BV4BphIWP2nPd+q4jqS9DGF\nAkyfDptvHnclH+fIf/rddx9ssQWMGbPuZxdcAN/6Fpx+elxVSVJ0qgn/o4DDi6/3Yt0KQG0pYPiX\nFJFFi8LE2o52po3D0KEwq6OhkIRobg6TWjfcsP3j8jbyf/vt8JnPfPRnn/gEfP7zyf3GSZIqUWn4\n35Mw6bf0z8U7wGzc5EtSgyQ5gA0fDi+9FHcV5Vm2DDbYILS2tCdP4X/16jDy/93vfvTnXbvCMcfA\nH/8IF14YT22SFJVKw/9nCMH/dcKk30mRVyRJ7Uhqyw+E8D9zZtxVlKeclh/IV9vP44+H/v7WlpE9\n4QT43vcM/5LSr9IJv0cVn3+IwV9SDKZPT+7I/7BhYSWiNCg3/Odp5P+hh+CwNpayOOggmDAhPzdC\nkrKr0vDfBVhOWPVHkhpuxozkjvyXwn8advktN/x36xaeV62qbz1J8OijIeS3pmdP2HVXeOKJxtYk\nSVGrNPw/AWwA9KhDLZLUoSS3/Wy4YQiJ778fdyUdKzf8Qz5G/5ctgxdfhH33bfuYQw4J3w5IUppV\nGv7vJmzydUYdapGkDiW57QfS0/pTafjPervLM8/ATjuFm7e2HHxw+HZAktKs0vB/G3Ax8B3gbMKN\ngCQ1TJLbfiA9k34rCf89e2Z/5P+ZZ9of9QfYfXeYNMndfiWlW6Wr/dxQfP4A+AVwCWHib0crW59Z\n4XUk6WNWrIAFC8JmWkk1fHg2R/6zHv6ffz6s6NOenj1h661De9BeHe1wI0kJVWn4P229Xw8tPtpT\nwPAvKQIzZ4a2mo7Wpo/TsGHZHPnPetvP889/fH3/1uy1V/iWwPAvKa0qDf83VnGNFKx7ISkNkjzZ\nt2T48HSsCOPI/zrz5oWdo0eO7PjYvfeGBx+sf02SVC+Vhv/T61GEJJUj6ZN9IZttP1kf+X/hhbCM\nZznfKO21F3z72/WvSZLqJcFfnkvSRyV9si9ks+0n6yP/zz8fJvOWY9ttwzcF8+fXtyZJqpc0hP9u\nwEXAXcCZTvYaAAAgAElEQVRs4G3g98A5NZxzIGH+wu+AicDC4uN54NfAjjWcW1KdpKXtx/CfLhMm\nhJH/cnTqBKNHw8SJ9a1Jkuql0raflvoCxwFbAVsXf/Z68XEnsKi20v55jbuAA4q/XgV0Bk4sPg4G\nTi3+vFybEm4gSsuUFoA1xde7Fh+fA34GXFB96ZKiNn06nHJK3FW0b+ONobkZFi+G3r3jrqZttv2s\n89prsMMO5R8/enRY8eeQQ+pXkyTVSzUj/52B84E3gGuBrwMnFB9fB64rvnde8dhaPEAI/ouB44F+\nhFH7LxAC+4nAzVXU30QY5T+LMMq/ITC4eN7HCP9dzgPOrbF+SRGaNq28SZlxampKx0ZfldycZHnk\nf/VqeOstGDWq/M+MGRPCvySlUTXh/3vAjwmj8quBl4B7io+Xij/rVzzmezXUdiiwG2Fk/gTCNwDL\nCN8oXAd8uXjc8UAlcWABsB+wJ2HfgteAtYS2n+sI3yaU9nC8pIb6JUVo1SqYPRs23TTuSjqWhtaf\nSsJ/lkf+33gj/G+qe/fyPzNmjG0/ktKr0vB/MHBh8fUvgS2BMcCxxceY4s+uJoyufxUYW2Vt5xef\nJwIPtfL+9YQg34nKRugXA39v5/0Coe8fwk3MFhWcW1KdTJ8eRtS7do27ko6lYcWfxYtDi1I5sjzy\n/9prsN12lX1mhx3g9dfd6VdSOlUa/s8khPqrgS/S+s6+swij8j8vnv+sKurqAhxRfH1HG8esBe4u\nvj6mimu0p+UcggrGgyTVy7RpMGJE3FWUZ/hweOeduKto3wcf2PYD1YX/DTYI/1t89dX61CRJ9VRp\n+B9NGBn/fhnHXlF83rnCawAMYV1tL7dz3KQWx0fp0OLzUmBKxOeWVIU09PuXbL55+KYiyWz7CaoJ\n/2Dfv6T0qjT8jyD03c8o49gZwPLiZyo1rPhcAN5v57jSSstdgUFVXKc1OwOfLb7+bUTnlFSjN99M\nz8h/0sN/oQBLlkCvXuUdn+WR/8mTw9r9lbLvX1JaVRr+pxFWxhlexrHDgR7Fz1RqWIvX7YX/lu8N\nreI66+sJ/IHQ6jMDuDiCc0qKQJrafrbYAt5+O+4q2vbhh2GCa7nzJ7I68t/cHMJ/NSP/peU+JSlt\nKg3/LxF6/r9WxrEXFZ/ba9tJki6Ekf5RhJ7/MwltP5ISIE1tP5ttFnr+m5vjrqR1le5BkNWR/5kz\nw3+Hcic+t7TjjjBpUvgWRZLSpNJNvm4ATiGsrlMAvgvMXe+YTYD/r8Ux11dRV8tF8gbQdt/9gBav\na1lbozMh+B9NWKr0FODh9j4wbty4f74eO3YsY8eOreHyktpTKKSr7adHjxAo58yBIVHPSIqA4T+o\ntt8fYPDg8L/LuXNhk02irUtSvo0fP57x48fX7fyVhv+HgJ8Qdr49H/gP4FWg1N26ObA9sEHx1z+l\ngxDdhtIqQk1A/3aOK723GphXxXUgBP9bCBuGrSHs7tvWCkP/1DL8S6qv998PLSp9+sRdSflKrT9J\nDf+VjHZnte2nlvDf1LRu9N/wLylK6w8qX3bZZZGev5pNvi4uPj4ghPxdgeOKj12LP1tEaPuptmd+\nNlD6wry91YJ2LD63tuRoOUoj/qXg/1ngtirPJalO0tTvX5LkSb+VLPMJjvy3pRT+JSlNKh35hxCS\nf0jYCOs4YGtgq+J7bwBTCSPnC2qoaw1wH3AUYQffy1s5pjPr1ve/u5X3O9LaiL/BX0qgN99MT79/\nSZIn/Vba9tOtW5i/sGpVeJ0Vr70GJ59c/ed32MFJv5LSp5rwX/I+cE1UhbTip4TwPwY4hI+3D51O\n2IG3GbiqwnO3HPFfTRjx/2MNtUqqo7SO/Cd1VLjS8N/UtG70v1+/+tXVaNWu9FOy445w883R1SNJ\njVBN20+jPAw8X3x9B2GUvyfQl7ASz9XF927n48uJjiPcFDQDm633XmfgJuAkwoj/KRj8pURLY/hP\n+sh/pSvc9O4dPpcV8+fDypVh4m61dtgBXnnFFX8kpUtU4b8rYXT+K8CphEm/UTgMeAzoDdwJLCR8\n43At4VuLPxDaddrS2l/J+wGfbvH+/wHvtfGYTbhJkBSjNLb9ZKnnH8LNQpbCf6nfv6mp+nP07x8m\nQ8+c2fGxkpQUHbX99CL03BcI/fDLWzlmNHAzsEOLnxUIPfunUNta+YsINwDnAfsDewIrgWcJ3wz8\nso3PtTcO09TimC7AwA5q2KCD9yXV2ZQpMGpU3FVUphT+C4XaAmY9LF5c+Qo1vXuHm4asqHWyb8kO\nO4T2rk03rf1cktQIHY38H0pY2/9/aD34bwTcw0eDP4SA/SngL7UWSNhw64fAsYRdfLcETqbt4A9w\nGeH31pmwU29Lj7Z4r5zHjRH8HiRV6YMPYMkSGBrFHt4N1KsXbLBBWKY0aapp+8nqyH+tXPFHUtp0\nFP4PKD7f0sb7/wOUxjueJEyc3Z91E4H3Lf5akqoydWoY9e+U5BlKbdhii2S2/lQ64Rcc+W+L4V9S\n2nT0z+lexec/tfH+icXnBwk3CrcCTxE2/7qL8A3A2TXWKCnHpk6FbbaJu4rqbL55Mif92vMfbfh/\n5ZXazyNJjdJR+B9C6I1/vZX3tgZGFN//cSvv39/iOEmqShr7/UuSuuJP3kf+ly2DOXNgyy1rP9f2\n24cbibVraz+XJDVCR+F/E8KE3SWtvFdq51kNjG/l/UeLz8OrqkySSPfI/4gRYZnSpMl7z/+UKbDV\nVtC5c+3n6tULBg6Et96q/VyS1Agdhf/VhEm9Q1p5b4/i82u0Phl4MrAMGFB1dZJyL80j/1ttBW+8\nEXcVH5f3kf+oWn5K7PuXlCYdhf+3CX37B7byXmky8N/b+GxPYENgQVWVScq95uZ1E37TKKnhP+89\n//UI//b9S0qLjsL/1OLzIev9fEfC8p4F1vX2r6+0Jc+s6kqTlHezZoW2ikpbVJJi883D72HVqrgr\nWadQgKVLw3/XSjjy37bSWv+SlAYdhf+fF5/PIqydvwthF987iz9fCjzUxmd3Kz63NllYkjo0ZUp6\n+/0BunaF4cOTNel38WLYcEPo0tEWj+tx5L9ttv1ISpOOwv+jhJH9TsA3geeBK1k3qj+Otnfw/ULx\n+cHaSpSUV2lu+SlJWuvPwoXQt2/ln8vKyP+aNWESdpT/u9p22/BnvHp1dOeUpHopZ9ucY4HfFF+X\nNqlvBr5PuBFozRhg7+LrttqCJKldaR/5h+yE/6yM/E+bFnaL7tEjunP26AGbbgqv+z23pBQo54vf\nlcAZwNcIK/wUgInAe+185gPg6OJn362xRkk5NXUqHLL+jKOUSVr4X7AA+vWr/HNZGfmPuuWnZMcd\n4eWXw7r/kpRk5Yz8l8wH/koYyW8v+AO8BdwL/K3KuiSJV19Nf5hKWvjP+8j/a6+FNp2o7bSTff+S\n0qGS8C9JDbNkCcydG80urHHKSvjv3j2sFLRiRfQ1NVK9Rv533hleein680pS1Az/khLp1VfDCG0U\nu7DGacstYfr0MNE0CaoN/01N2Rj9r1f432mn0PYjSUln+JeUSK+8EtZPT7vu3WHw4HADkATVhn9I\nf99/oQCTJ9cn/I8cCXPmpP/mSFL2Gf4lJdIrr4RJlFmQpNafaif8QvpH/mfNCnscVHvz057Ond3s\nS1I6GP4lJVJWRv4hWeE/zyP/9Wr5KbHvX1IaGP4lJVKWwv+oUWHPgiSoJfynfeS/3uHfvn9JaWD4\nl5Q4ixaFkLr55nFXEo3ttgu95kngyH/9zu/Iv6Q0MPxLSpxXXw0hrVNG/obabrsQPJNgwYLqw3+f\nPuHGLK3qtcZ/yU47hfBfKNTvGpJUq4z80yopS7LU8gPhG4wFC8LeBXFbuLD6Cb/9+oXPp1W9R/4H\nDICNNoIZM+p3DUmqleFfUuJkaaUfCN9gjBoVf+vP2rXhBmTjjav7fL9+4SYmjRYuhGXLYNiw+l7H\nvn9JSWf4l5Q4WRv5h2S0/ixcGIJ/tRun9esH8+dHW1OjTJ4cWn6amup7Hfv+JSWd4V9SohQKMHEi\njB4ddyXRSkL4nzcPBg6s/vNpHvmvd8tPieFfUtIZ/iUlyqxZ4XnIkHjriFpSwv+AAdV/Ps3h/9VX\nYfvt638dw7+kpDP8S0qUF1+EMWPq357RaEkI/++/n9+R/0aF/223hbfeghUr6n8tSaqG4V9SopTC\nf9ZsvTVMnw6rVsVXQ57bfhoV/rt1C5O7J02q/7UkqRqGf0mJktXw360bbLEFTJ0aXw21tv307RvW\n+W9ujq6mRli6FObODf/9G2G33eCFFxpzLUmqlOFfUqK8+CLsskvcVdRH3MtA1tr206VLWMc+bbv8\nTp4M22xT/SpHlTL8S0oyw7+kxFiyJEz4HTUq7krqI+7JoLW2/UA6W38a1fJTsuuuhn9JyWX4l5QY\nL70UNvdq1AhtoyUh/NfS9gOG/3KMHh0md8c5v0OS2mL4l5QY//hHNvv9S5IQ/h35r78NN4SRI530\nKymZDP+SEiOrk31LttgCFi+OLzzX2vMP0L+/4b8c9v1LSirDv6TEmDAh2+G/qSlM+o1j9L9QyGfb\nz/Ll8O67YSS+kQz/kpLK8C8pEVasCKuyZDn8Q3ytP4sXQ9euoSWlFmkL/1OmwFZbhZWKGslJv5KS\nyvAvKRFefDHsjtqjR9yV1Fdc4X/2bBgypPbzpC38x9HyA+Em9pVXnPQrKXkM/5IS4dlnYc89466i\n/kaPhokTG39dw39j9ewZWo3inOAtSa0x/EtKhOeegz32iLuK+tt55xBIGz0inNfw/8or8YR/gH32\ngb//PZ5rS1JbDP+SEiEvI/89e8KIEY1fBnL2bBg6tPbz9O8fJg6nxcsvh0nWcdh3X8O/pOQx/EuK\n3aJFYWff7baLu5LG2H13eP75xl5z1qxoRv4HDUpP+F+yJNz0bL11PNffZx946ql4ri1JbTH8S4rd\n88/DLrs0fkWWuMQR/qNq+xk0CObOrf08jTBpUmj5iWvH6FGj1t2ASFJSGP4lxS4v/f4lu+8efs+N\nFFX47907zFdYtqz2c9XbSy+FORZxaWqy719S8hj+JcUuL/3+JaNHh/Xnly9v3DWjCv9NTbDJJulo\n/Yk7/IOtP5KSx/AvKVaFQhgZ3WuvuCtpnA02CHsaNHIZyKjCP4TWnzlzojlXPU2cGG604uSkX0lJ\nY/iXFKtp00Kv/+abx11JYzWy9WfpUli9Gvr0ieZ8aej7LxTiXemnZI89wgZ2K1fGW4cklRj+JcXq\nySdhv/1CO0me7LUXPP10Y641YwZstll0/43TEP6nT4devcLSpHHaaKOwilWj53hIUlsM/5Ji9cQT\nIfznzf77h997I0yfHu03K5tskvzwn4SWn5KDD4aHH467CkkKDP+SYlUa+c+bUaPgww9h5sz6Xyvq\n8J+Gkf8kTPYtOeQQeOSRuKuQpMDwLyk2CxaElpSkjNA2UlNTuOl58sn6X2v69ND2E5U0hP+JE5MT\n/vffP7T9NHJ1J0lqi+FfUmxKq/zkZXOv9TWq9WfGjOhH/pO+2s+ECbDrrnFXEfTqFW5EXPVHUhIY\n/iXFJq/9/iVpHfkfMiTZu9bOnx8eW28ddyXr2PcvKSkM/5Jik9d+/5Jdd4WpU2HJkvpeJ+qe/2HD\n4N13oztf1CZMgF12gU4J+hfukEPgoYfirkKSDP+SYrJsWQhp++4bdyXx6d49rPdfz9af1atDi86w\nYdGds1+/0L++bFl054zS88+H/65Jsv/+8Oqr4RsJSYqT4V9SLJ56Kkz03WijuCuJ17/8Czz4YP3O\n/9ZbsOmm0LVrdOdsaoKhQ2HWrOjOGaUkhv/u3WHsWLj//rgrkZR3hn9JsXj44dAKkXf1Dv9Tp4Zl\nRaOW5NafJIZ/gCOPhPvui7sKSXln+JcUC8N/sPvuoSe/Xqvn1Cv8Dx2azPA/dy4sXgwjR8Zdycd9\n8pNh5H/t2rgrkZRnhn9JDbd4MUyaBPvsE3cl8evSJbSD1GslmKlT67PqzbBhyWz7eeEF2G230JqU\nNJtuGv67PfNM3JVIyjPDv6SGe/xx2HNP2GCDuCtJhnq2/uRt5L8U/pPqyCPhnnvirkJSnhn+JTWc\nLT8f9YlPhHaQQiH6c7/+ev16/pM48v/cc8kO/yeeCLfdVp8/a0kqh+FfUsMZ/j9q1Cjo0QNefDHa\n8y5dGpaW3HTTaM8LIfzPnBn9eWtRKIRddJPcTjZmTGhJmjAh7kok5ZXhX1JDzZ8Pb74Je+wRdyXJ\n0dQExxwDd98d7Xlffhm23x46d472vABbbBEmKifJm2+GVrJ63OxEpakJTjopjP5LUhwM/5Ia6oEH\n4KCDol13PguOPjr6XvCXXoKdd472nCVDh8K8ebByZX3OX42nnkrHpnEnnQR/+IOtP5LiYfiX1FB/\n+UtY8lAfte++MGNGeERl4sSwkVo9dOkSWn/eeac+56/Gk0+mI/yPHh1ufp9+Ou5KJOWR4V9SwzQ3\nh4mthv+P69Il+pVg6hn+ATbfHN5+u37nr9RTT8F++8VdRceamuCMM+D66+OuRFIeGf4lNcyECdC3\nL2y5ZdyVJNMJJ4R2kCg0N4ee/3q1/UDo+09K+F+0KNRSz99vlE47Df74xzApW5IayfAvqWH+8hc4\n4oi4q0iuww+HV1+NJlBPmQL9+0O/frWfqy1JCv9PPx0mkadlLsmQIXDAAdHd7ElSuQz/khrGfv/2\ndesW1oG/5Zbaz9WIFpgkhf/HHoP994+7isr8+7/DNdfEXYWkvDH8S2qIBQtg0iQ48MC4K0m2z34W\nbr659pVgGrHyzZZbwltv1fca5Urj3hFHHAHvvRf2JpCkRjH8S2qI0hKf3bvHXUmy7bsvLF8OL7xQ\n23kaEf633jrsIBy3xYvhlVdg773jrqQyXbrAV78KP/pR3JVIyhPDv6SGuOce+NSn4q4i+Tp1gi98\nAa6+uvpzzJ0Ls2bBjjtGV1drBg+GFStg4cL6Xqcjjz8Oe+4ZNvhKmzPPhPHjYdq0uCuRlBdpCP/d\ngIuAu4DZwNvA74FzajjnxsAxwLeAe4vnbS4+TqvhvJJasWpV6Pc/5pi4K0mHL3wB7rgj7IZcjfvv\nh0MPDSPL9dTUBKNGwdSp9b1OR9LY8lOy0UZw9tlwxRVxVyIpL5Ie/vsCfwO+Dxxd/PUw4ETg54Sb\ngG5VnPc44E7gG8ARwCYt3nPPRSliDz8M228fRorVsYEDw46/111X3ecbObE6CeH/kUfg4IPjraEW\n//mfYdnPN9+MuxJJeZD08P8AcACwGDge6AcMBL4ArCHcBNxcxXkLhNH+PwOXF88tqU7uvBOOOy7u\nKtLl3HPhZz8L35pUYu3aML8iL+H//ffhjTfCMp9p1b8/nH8+XHpp3JVIyoMkh/9Dgd0IQf0EQtvP\nMmARcB3w5eJxxwMjKzz3TYRvED4FXFI8t6Q6WLsW7r7b8F+p3XeH7baDG26o7HMPPhhW4Rk+vD51\nrW+bbeIN//ffH1p+0rK+f1suuCD82U2YEHclkrIuyeH//OLzROChVt6/HlhA+D2cW+G5m2uoS1IF\nnn4aBg2CkZXeoovLLoNvfxtWriz/MzfdBKeeWr+a1rfttmFjsrj8+c/Z2DiuVy/4znfgS18KuzNL\nUr0kNfx3IfTiA9zRxjFrgbuLr51GKCWULT/V23tvGDMGfvzj8o5ftAjuvRc+/en61tXS9tuHXvUV\nKxp3zZK1a8PIfxbCP8Dpp0PnznDttXFXIinLkhr+h7CutpfbOW5Si+MlJUyhEFatMfxX7yc/gR/+\nsLyddH/+8zBReNCgupf1T927h2914hj9f+YZGDascS1O9dapU1ji9RvfgOnT465GUlYlNfwPKz4X\ngPfbOa60EF5XoIH/3EkqxzPPQLduMHp03JWk14gRcOGFYT34NWvaPm7xYrjySvj61xtXW8no0TBx\nYuOve9992Rn1L9l557D6z6mnhm82JClqSQ//0H74b/ne0DrVIqlKt94Kp5wS1oNX9f7rv0I7yDe+\n0fYxX/962ERt++0bV1fJmDHxhP8//QmOPLLx1623iy4KezR85ztxVyIpi+q8BYykvFqzBn7/+7D7\nqmrTuTPccgvsu2+YGPrf//3RG6obbwyj4HEEcAgj//fd19hrTpkSlvncd9/GXrcROnUKf6Z77hlW\nfWrUsq2S8iGp4X9mi9cDgCltHDegxet361eOpEqNHw+bbgpbbx13JdkwcCA8+igcdRQ89lhYF37Q\noHCD9dvfwkMPQZ8+8dQ2ejS8+GKY49Gob3luuw1OOCEE5SwaPjxs/HXsseH/S3F8oyMpm5Ia/mcV\nn5uA/u0cV3pvNTCvrhWtZ9y4cf98PXbsWMaOHdvIy0uJd8st8JnPxF1FtgwdCn//O1xzDVxxBXzw\nAey/P7zwAgyJcdmDQYNgww3DpOQtt2zMNW+7Da66qjHXisu++4bJ3p/6VPgGbdiwjj8jKf3Gjx/P\n+PHj63b+pHbidgFWEOYkXELYhbc11wFnAG8DI2q8Zmll5dOBGzs4tlAoFGq8nJRdK1eGMPryywaW\nvDjxxDBK/dnP1v9aU6fC2LHwzjuhJSrrrrgibPb22GPhGyBJ+dIUvlKNLLMn9QvTNUCpg/T4No7p\nzLr1/e9u4xhJMbjnnjAJ1OCfH/vtB0880Zhr3Xor/Nu/5SP4A1x8cbi5OuwwWLAg7mokpV1Swz/A\nT4vPY4BDWnn/dKAfYcQ+41/+Suly/fVw1llxV6FG2n//xoT/5mb49a/Dhlh5ctllIfyPHQtz5sRd\njaQ0S3L4fxh4vvj6DsIof0+gL3AmcHXxvduBaet9dhzhpqAZ2KyN8w8oPvrz0YnDvVr8bADQo4bf\ng5Q777wT1vc/vq3v7JRJY8aEnv+FC+t7nUcfhd69YZdd6nudpGlqgu99L3wDcMABMGNG3BVJSqsk\nh3+Aw4DHgN7AncBCwtr+1xLmBfwB+Fw7n2+vMX9u8TGv+FxyVYufzQUurrJ2KZd+8xs4+WTo4W1z\nrnTpAnvtBU8+Wd/rXH992PAsj3tHNDXBN78JX/oSHHggvP563BVJSqOkh/9FhBuAi4F7CMF/BnAb\n8EXg04SVftZX7mzcQpkPSWVobg4TE888M+5KFIeDDoIHH6zf+RctCht7NWJScZJdcEHY8G3sWJg0\nKe5qJKVNDsdOIuFqP1IrHnkkrD8/cWI+R2bz7h//CG0pr79enz//H/wg/G/r5pujP3ca3XorfPWr\n8Oc/w667xl2NpHqJerWfpK7zLymFfvWrMNHX4J9PY8bAihVhKc5tton23KtXh3X977or2vOm2Wc+\nAxtsEHYAvusu2GefuCuSlAZJb/uRlBKzZ8Nf/wqnnRZ3JYpLU1PYkOree6M/9+23w4gRjnCv77jj\nwupHxxwTdgKWpI4Y/iVF4pprwkTfPn3irkRx+tSn4O6Id14pFMJGV1/9arTnzYpPfhJ+//vQcnX/\n/XFXIynpDP+SarZ6Nfzyl/DlL8ddieJ22GEweTJMW38B5hrccUf4VuGoo6I7Z9YcfHC46Tr1VHj8\n8birkZRkhn9JNbvzTth6a9hpp7grUdy6dQu96L/+dTTnW7s2rGxz+eXQyX+x2rXvvnDLLXDCCTBh\nQtzVSEoq/yqVVLOrroKvfCXuKpQUZ5wRwv/atbWf6ze/gQED4PDDaz9XHvzLv4Rv4Y48El57Le5q\nJCWRq/1IqsnTT4ddfY89Nu5KlBRjxsDgwaENpZadnhcsgP/+77C2vytIle+442DxYjjiiPD/z002\nibsiSUniX6fVcZ1/qeiEE8JmQ+eeG3clSpJ77oFLLw3tJ9UG97PPDm1EP/tZtLXlxaWXhgnAjzzi\njttSmkW9zr/hvzqGfwmYMgUOOADeegt69oy7GiVJoQC77AKXXRaWoazUPffAeeeFTb023jj6+vKg\nUAi7Ia9ZA7/7nXMmpLSKOvz7V4Gkqv3oR/DFLxr89XFNTfC978GFF8Ly5ZV9dvr0MOr/298a/GvR\n1ATXXw8zZ8K4cXFXIykpHPmvjiP/yr3Zs2GHHcLo/8CBcVejpDr5ZBgyBH7yk/KOX7QI9tsPvvAF\nuOCC+taWF3PmwO67w//9Hxx9dNzVSKqUbT/JYPhX7pWCWbmhTvm0YEEInt/6Fnzuc+0fO39+2LBq\nv/3gxz9uTH158fe/h/arJ58My/JKSg/DfzIY/pVr774b1vR/9dWwqovUnkmT4BOfgG9/G848s/Vj\nXngh7A9w/PHw3e+6uk89/Pzn8ItfhBsBW/Wk9DD8J4PhX7n2la+E1UN+8IO4K1FavPoq/Nu/hVHn\nCy+EvfcOE1AnTAjr0t97L1x5JXz603FXml2FApx+eth/4aabvMGS0sLwnwyGf+XWjBlhFZfJk+31\nV2WWLw9B/8Ybw7cBhQJsuy2cdBJ8+cvQr1/cFWbfsmXhxuv88+Gss+KuRlI5DP/JYPhXbp1zDvTt\nG1ozpGo1N4dnl59svNdegwMPhEcfhe23j7saSR0x/CeD4V+5NHlyWNd/8mTo3z/uaiRV67rrwmT9\nZ591AzAp6Qz/yWD4Vy4dfXQYMfza1+KuRFItCgU45RTo0weuvjruaiS1x02+JMXioYdCn/a558Zd\niaRaNTWFlX8eeAD++Me4q5HUSI78V8eRf+XK2rWw227wjW+EFVskZcNzz8GRR4b2ny22iLsaSa1x\n5F9Sw/3617DRRnDCCXFXIilKe+wB//VfYY+F1avjrkZSIzjyXx1H/pUb778PO+wAf/5zGP2XlC3N\nzfCpT8HOO8P3vhd3NZLW54TfZDD8KzfOPBN69YKf/jTuSiTVy7x5Yf+O666Df/3XuKuR1JLhPxkM\n/8qFxx4LK4K8+ir07h13NZLq6ZFHwv/fJ0yAIUPirkZSiT3/khpi1aqwoddPfmLwl/Lg4IPh7LPh\n1FPDJH9J2WT4l9Sqyy+HkSOd5CvlyTe/GSb+fv/7cVciqV5s+6mObT/KtGefhaOOghdf9Ot/KW9m\nzloA90oAABT9SURBVITdd4fbb4f99ou7Gkm2/Uiqq+XL4fOfh6uuMvhLeTR8OFx7bej/X7Ag7mok\nRc2R/+o48q/MuuACmDsXbrkl7kokxenCC2HaNLjzzrAjsKR4uNpPMhj+lUn33gtf+lJo9+nXL+5q\nJMVp5crQ9vP5z8N558VdjZRfhv9kMPwrc2bMCLt93nGHfb6SgjffhH33Df3/++8fdzVSPtnzLyly\nq1bBySfD175m8Je0zsiRcMMN4e+HWbPirkZSFBz5r44j/8qUCy4II3x33w2dHBKQtJ7LL4c//xnG\nj4du3eKuRsoX236SwfCvzLjuurCm9zPPQN++cVcjKYmam+H448MKYFdfHXc1Ur4Y/pPB8K9MeOwx\nOPHE8LzNNnFXIynJFi+GPfeEiy6Cs86KuxopP6IO/12iOpGkdJk2LfTx3nSTwV9Sx3r3hrvugoMO\nghEj4OCD465IUjXs7pVyaM4cOOwwuOSS8CxJ5dh2W7j1Vvj0p+G11+KuRlI1DP9SznzwARx+OJx6\nKnzxi3FXIyltDjkErrgCjjwybAgoKV3s+a+OPf9KpRUrQvDfcUe46ip37ZRUvUsugQcegIcegp49\n465Gyi4n/CaD4V+ps3w5HHss9O8PN9/skp6SalMowBlnwOzZcM890L173BVJ2WT4TwbDv1Jl2TI4\n+mjYZBP4zW+gi1P9JUVgzZqwcADA73/v3y1SPbjDr6SKLF0aenOHDoUbb/QfZ0nR6dIFbrkl/D3z\n7/8e9gOQlGyGfynD5s4Nk/NGjoQbboDOneOuSFLWdO8Od9wBb7wRFhHwBkBKNsO/lFFvvAH77hsm\n+F5zjcFfUv307Al/+QtMngynnx7agSQlk+FfyqCnnoIDDgg7cX7rW67qI6n+evUKNwDvvQennAKr\nVsVdkaTWGP6ljPnVr8KqPtdeC//xH3FXIylPNtwwrPyzYgUcdxx8+GHcFUlan+OB1XG1HyXOqlVw\n3nnw2GNw110walTcFUnKq1WrwuDDyy/Dn/4EQ4bEXZGUXq72I+ljpk2DAw+EOXPg6acN/pLi1a0b\nXH99+BZyn33glVfirkhSieFfSrmbb4a99oJPfxpuvx169467IkkKc42+8Q349rfh4IPDNwCS4mfb\nT3Vs+1HsFiwIbT4TJsCtt8Lo0XFXJEmte/ppOOkkOPXUsAiBq49J5bPtR8q5QgFuuw123BH69YPn\nnzf4S0q2vfcOf1c9/TT867+GPUgkxcPwL6XIzJmhh/bSS0OLz5VXhtU1JCnpBg2C+++HPfeEMWPg\nvvvirkjKJ8O/lALLl4e+2dGjYZdd4B//CJPoJClNunSB73wntCp++ctwzjmwdGncVUn5YviXEqzU\n4rP99qG3/7nnYNw46N497sokqXoHHQQTJ4b9AEaPhgceiLsiKT+c8FsdJ/yqrgoFePBBuOSSMOr/\n4x+H1TIkKWv+/Gf4yldCO9CPf+yeANL6nPArZdyjj4ZRsXPPhfPPDyP+Bn9JWXXEETBpEowYATvv\nHG4AVq6Muyopuxz5r44j/4pUc3OY/PbDH4ZJvZdeCqecEvpjJSkvXn0VLroIJk8OcwNOOinsFyDl\nWdQj//5fqjqGf0VixQq46Sb40Y9go43CP3onnGDol5RvDz8MF18MnTrBZZfB4Yd7E6D8Mvwng+Ff\nNZkyBa65Bm68MezO+7WvwYEH+o+bJJU0N4cFDy6/HLp1C7sFH3NMuCGQ8sTwnwyGf1VsxQq44w74\n1a/CV9pnnAH//u8wcmTclUlScjU3w5/+FG4Cli+Hr34VPvMZ9zhRfhj+k8Hwr7KsWRO+vr7lFrj7\nbthjDzj7bDj66DCSJUkqT2kVtCuvDDsFn346fPGLYaKwlGWG/2Qw/KtNa9bA3/8Of/hD+Mp6s83C\n5N2TToKhQ+OuTpLSb9o0uPpquOGGMKhy2mmhJahHj7grk6Jn+E8Gw78+YunSsG39PfeEVXs23RSO\nOy58Nb311nFXJ0nZtGwZ3HlnmD/13HNhwYTPfx7228+5AcoOw38yGP5zrrkZXn4ZHnoI/vY3ePJJ\n2Gef0M5z1FFhtF/6/9u79xg7qvuA49/1Y23HGK9ZEzsxsU2wYsUQSkx4kwI2omqIBAptaaQm2oAi\nVa0CpaRJK1XUUpqqVBGp2j9a1KdQJEhaNWmq0JQK4tKEVwCHFCcBDFn8ABuMsY2N1/u6/eM3k7m7\n3Lt7797HzL33+5GOZu6dc2fP7tlzz29mzpyR1D779sUQy3vugUOH4Prr4yTMFVfAwoV5l06aO4P/\nYjD47zGlEgwPR7CfpoEB2LoVrr460vLleZdSkgQxo9o3vxlp1y649tpIV18Ng4N5l06qj8F/MRj8\nd7nRUdixAx55JM7qP/JInO3fsiU6j61bYd26vEspSZrN3r0x4cJ3vwsPPwwbN8I110S6+GInX1Dx\nGfwXg8F/F5mYgBdegKefjoD/scdiuWEDXHpppMsug/XrnYdfkjrZ6GhMyPDAA3Gf1nPPwUc+Apdf\nHumSS+DUU/MupTSVwX8xGPx3qBMnYo79HTsiPf00PPMMrFoFH/4wbN4cM0dcdJEdgCR1uyNH4mDg\n+9+P9OSTMUnDJZfA+edHOvts7xlQvgz+i8Hgv+COHYsg/yc/mZr27YuHap13XgT6mzfH+sBA3iWW\nJOVtdDROCj32GDz1VKSXX44DgM2b42Dg3HNh0yZYtizv0qpXGPwXg8F/Abz1Frz44tS0a1ek11+H\nD3wgvqDL01lneQZHklS7Y8fiCnF6MPDss3FyaXAwDgo2bcqWH/ygkz+o+Qz+i8Hgv8VKpbgcu2fP\n1DQ8nAX6x4/Hkx3POmtq2rAhxufPn5/3byFJ6kYTE3FFYOfOuKq8c2ek556LB41t2JD1R+XL00/3\n3jHVrxeD/37gVuAy4CLgJPA48D3gbxvc93LgtmS/FwCHgMeA+4H7ZvicwX8DRkfhtdfgwAHYvz/S\n3r3vDPQhHpZVntaty75EV6/2S1SSVBylUvRtu3ZlV6PLl2Nj8RyYtE8rX0/T4sV5/xYqml4L/lcA\n3wI+mrweBeYnCeBfgE8l79drLRHkb0pejwCLyP4mfwncDlSK8g3+y5RKMQTnjTeydODA1OB+//7s\n9ZEjcfZj9eq40XbVKjjjjHd+AS5fbnAvSeoeb74ZJ7d2785OdJWv79sXfd+aNVkfuXr11JS+NzBg\nH9krei34/yFwPnAUGAIeIK4E3AD8DbAA+FfgN+rc72LgBWANsDfZ9/8CpwGfAf4syfcV4AsVPt+V\nwf/kJBw9GsF5mg4dmhrUT08HD0ae/v4Y/5im8i+s6V9eg4M+dl2SpOkmJ+NE2auvTj15Vn4CLU0n\nT0b/unJl1veWr1d675RTPGDoRL0U/G8F/ps4834N8OC07Z8F7gYmgY3Ai3Xs+2bg74ATwIXAzmnb\nvwz8EXAMOIM4+ChXqOB/bCxuSDp+PJZpOn58aiCfpsOHK79/7BgsXRpnHdJ02mnv/CKp9IWyaFHe\nfwVJknrHiRNxQHDwYKTpJ+YqvR4fhxUrsj5+YGBqnz/be8uW+VC0PPRS8P9t4OPAj4DNFbbPBw4Q\nZ+v/Cvi9Ovb9DPAhYkjRJypsHwT2Jz/j94khQOVqDv4nJ2FkJBpprak8iK+2Xv56YiIa5NKlcVSf\npqVLY6766Y24WuNetsybZCVJ6lYnTsTQo1pOCk5/7/DhGOI7b97UOKM87qjl/aVL46boSmnRIq9M\nVNIrwf8CYgz+POAO4E+r5PsHYpjOy8CZNe77TLKrBJ8GvlYl34PAVcD/JMtypRtvLNUUyI+NxT9z\ntX/0NC1enK3X0pDKX/f321gkSVJrlUoxaUelE5LVTlRWeq9azDQ+PjUeqictWhSpv3/29dnyFW1o\ncrOD/wXN2lGTvYcI/AH+b4Z8z5blr9UZybI0y753EkH/mkobr7uu9n9GA/Ni2b59O1deeWXexdAc\nWHedzfrrXNZdZ2tW/fX1ZUHy4GDj5ZpuYqK+kRJpGhnJJh45eTJLo6Ozr1fatmBB9QODhQsjLViQ\nrVdLzcrTbEUN/tOAuwQcnCHfG8lyIfBu4LU69s0s+063VQz+P/nJGn6SCslOrHNZd53N+utc1l1n\n65T6mz8/G9WQl1IpRm1UOzAYG4s0Pp6tV0vV8hw/Xt9+mq3owT/UFqADvJfWBP+LgQHgcA37liRJ\nUofq64sz/P39cS9kETR7BEnBRjVJkiRJapWijka/CHiUGPbzy8APquT7NPDPSb7VwOs17PtG4N7k\nM2uBfVXy3QFsI6YDXTpt2y7grBp+liRJktSIF4ENzdpZUYf9vJIs+4hpN6tJt41RW+Bfvu/089WC\n/3TflbY3rQIkSZKkdinqsJ9XiYd3AZw7Q75zkuUrM+SZbk+y7Ktx33vr2LckSZKkOfh34gDg6Srb\n5xM35U4CX61z3z9KPvdvVbYPAuNJnlvr3LckSZKkOm0hgu/JZH26m5Nt48D769z3Tcln3wY2Vdj+\npWT7EaAg93pLkiRJ3e0JIgg/DFxH3Hi7ggjeR5NtX6/wuW1kBw5rK2xfBOxOtu8mHubVD6wCvlj2\n2Tub9ptIkiRJmtEAsJ0sGB8FJspe30c84Gu6bcn2CSoH/wDvI57wm+5rpGx9ArirLO8S4FeBPyaG\nCr1clvdPavg90vLMluq9gqHZNVp3qeVEPf4nMdzseeAe4DebWFbVb4ja2tbWnMqnOLHyB8C3iPu5\nhomTNr+dY5k0uyFsW0XUjD7N/iw/jdTfNmprk7PGkkWd7Sd1GLgGuAW4HLgQOElcEXgIuLvK50o1\n7HsPcBlwGzG16AXAIeBx4H7iwCJ1EfCdBn5WaozsqcSVjNexL9WmGXW3lvifSIeIjRBXoDYAv0X8\nX95ex/7UfJPM/JC/kXYVRFOsIIL+jyavR4n7tX49SVcBn0reVzHZtoql0T7N/ixfzYhJjCXb5Ari\nD/0A8OfEswJeIb4U76jh89uSvA+1qHyqrtG6W0wcKKZDxLYQV5tWAX9IdqT9F80uuGoyRPz9X8q5\nHKrsh2RDN68H3kVc0b2ZbOjmN3IrnWYyhG2riBrp0+zP8tdI/W3DWLKtKk2JOozBfydotO7SG8uP\nA2dX2P7lZPtR4NS5FVENGMIApai2kg2jrDQ05LNkkzb40MTiGcK2VUSN9Gn2Z/lrpP620aRYsqjz\n/BfN5OxZVFCN1t0tyfK/gJ0Vtt9FBDenEDeiSwrpNMnPAA9W2P6PxFDLecDn2lUoqcM10qfZn+Wv\nEPGkwb9U3ZnAh5L1as+EeAN4OFm/ruUlkjrDAuBjyXq1tjNBPM8FbDtSq9mf6RcM/tvrHOBZ4vkC\n+4lG9tfEzEMqnjOSZYmYGaqa9AzKmtYWRzN4N/AUcIzowB4F/p7Kz/FQ672HrH+Zqe08W5ZfxWTb\n6g72Z92j4VjS4L+9BoGNxN31pxMzGP0u8DPgCzmWS5WVf/kdnCFfus0vy/wsAc4jbiIdIGZUuIl4\nmvdXgb78itaT0rZQYua2k85YsZAIMlU8tq3uYH/WPRqOJQ3+2+N5Yp7rjcTd9qcRX6LXEZW1hLjr\n+4a8CqiK6v2yXEzUq9pnH3ET1C+Rta1TiFksniCGn9xKTF2n9qm37QC8t0Vl0dzYtrqL/VnnM5ac\nxRC1PQihWvqVGn7GMLXPGDOTJcBPk30dJJ5i3MuGKE7d3U42W8miGfL9Tlk+vyxnNkTr6zfVR/aQ\nwBFgXRPKr9rcQNYmNs6Q72Nl+c5rQ7nUHLatYhlm9j7N/qy4hmk8nqwrluzWM/+lsuVcU7ucAD6f\nrK8Azm3jzy6iItXd3rL1lTPkS7eNEPOZq7p21m+JuBQKMazk0gbLrtrV23YgzjSrM9i2Oo/9WXer\nK5Ys+hN+5+pe4D8a+PzRZhWkRk8myz7ibvxH2/zzi6RIdfdK2fog1YOTwWRp8DK7dtfvT4kvxSVE\n27q3gZ+t2qVtp4+sfVSSbhsDXm9pidRstq3OYn/W/WqOJbs1+B8l5o9W5ylS3e1Jln3EUfSPq+Q7\nJ1nurbJdmSLVr1rnVeLy8zyi7Xy7Sr607bxSZbuk5rA/0y9067CfTnNB2Xq1Bqn2Gyarj09UyTNI\nPK4bsjnLVRybiDOTYNtqp3HgO8l6tbYzn2wucdtO57FtdZZh7M+6nbFkGwzT/Bt+DwHvanB/mt0w\ntdfdTUnet6k8r/WXku1HgGVNKp+aYx7wPbKbEtfnWpres4XsRu0tFbbfnGwbB97fxnKpcbatYhmm\ntj7N/qyYhmnuDb/Gkk20grgRZjBZ7ib+yHeWvbeSd95hfQUx7uozxBfkwuT9U4GPEw/USO+s/7VW\n/gI9bK51BzErQpp/N3AV0A+sAr5IFtzc2dLfQJWsJx5W8zlgAzH1GUQ9XgH8gKx+Pl/h82q9J4i/\n/2HiLP9Soj3eRAwBmwS+nlvpVM16bFtFNtc+zf6sGOZSf8aSORmmtqkI/2na566ctn2C6AjL3zuK\nD/lqpWHmVnep9xEdYZpvhKn1eVfriq4ZrOeddfjmtNcjWD95GiCbEnKSCPgnyl7fR9aJqTjWY9sq\nsmHm3qfZn+VvmPrr78pp2xqKJbv1ht9WqHWawel5fkycGbmYuPt6JfGglJ8DLwE7gK8ArzWtpJpu\nrnWX2gNcBtxGPN3yAuKy2uPA/UQAo/bbT5yZvJiYI/50ItjcQ7StnURH9lJeBRSHgWuAW4inUF4I\nnCSuCDwE3J1f0TQD21axNdKn2Z/lby71ZywpSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIk\nSZIkSZIkSZIkSZIkSZIkSZIk1WZ+3gWQJHW9IeB6oAS8nG9RJEmSJLXSdmASuCPnckhSz5uXdwEk\nSZIktYfBvySpXfryLoAkSZKk1hgihvvMlNbmVThJ6kUL8i6AJKlrvQ0cAE4DFgLHgbem5Zlod6Ek\nSZIktc52vOFXkgrBMf+SJElSjzD4lyRJknqEwb8kSZLUIwz+JUmSpB5h8C9JkiT1CIN/SZIkqUcY\n/EuSWm0sWc7PtRSSJIN/SVLLvZosV+ZaCkmSwb8kqeWeT5bXAhfiFQBJkiSpa50OvEU85XcSOAoM\nAz8H1uRXLEmSJEmtsAm4F/gZcAyYSNLaPAslSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIk\nSZIkSZIkSZIkSZIkSZIkSZIkSZK6xv8D1wAJvtfnUKYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c74a0d0>"
]
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"stats.cauchy?"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.rcParams['figure.figsize'] = 12, 8 # plotsize\n",
"\n",
"alpha = .9\n",
"# First figure: show normal histogram binning\n",
"fig = plt.figure(figsize=(10, 4))\n",
"fig.subplots_adjust(left=0.1, right=0.95, bottom=0.15)\n",
"\n",
"ax1 = fig.add_subplot(121)\n",
"ax1.hist(t, bins=15, histtype='stepfilled', alpha=alpha, normed=True)\n",
"ax1.set_xlabel('t')\n",
"ax1.set_ylabel('P(t)')\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"ax2.hist(t, bins=200, histtype='stepfilled', alpha=alpha, normed=True)\n",
"ax2.set_xlabel('t')\n",
"ax2.set_ylabel('P(t)')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 36,
"text": [
"<matplotlib.text.Text at 0x10c961490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UlJQ2eKTLdRwdOmxq5XVab+/evVx33S+xLHjiiYc49NDo4W8lnSj5FBERacSO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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c912b10>"
]
}
],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.random.seed(0)\n",
"N = 10000\n",
"mu_gamma_f = [(5, 1.0, 0.1),\n",
" (7, 0.5, 0.5),\n",
" (9, 0.1, 0.1),\n",
" (12, 0.5, 0.2),\n",
" (14, 1.0, 0.1)]\n",
"true_pdf = lambda x: sum([f * stats.cauchy(mu, gamma).pdf(x)\n",
" for (mu, gamma, f) in mu_gamma_f])\n",
"\n",
"jw_modify_true_pdf = np.array([true_pdf(x) for x in t])\n",
"x = np.concatenate([stats.cauchy(mu, gamma).rvs(int(f * N))\n",
" for (mu, gamma, f) in mu_gamma_f])\n",
"np.random.shuffle(x)\n",
"x = x[x > -10]\n",
"x = x[x < 30]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(10, 10))\n",
"fig.subplots_adjust(bottom=0.08, top=0.95, right=0.95, hspace=0.1)\n",
"N_values = (500, 5000)\n",
"subplots = (211, 212)\n",
"\n",
"for N, subplot in zip(N_values, subplots):\n",
" ax = fig.add_subplot(subplot)\n",
" xN = x[:N]\n",
" t = np.linspace(-10, 30, 1000)\n",
"\n",
" # plot the results\n",
" ax.plot(xN, -0.005 * np.ones(len(xN)), '|k')\n",
"# hist(xN, bins='knuth', ax=ax, normed=True,\n",
"# histtype='stepfilled', alpha=0.3,\n",
"# label='Knuth Histogram')\n",
" hist(xN, bins='blocks', ax=ax, normed=True,\n",
" histtype='step', color='red', linewidth=2.0,\n",
" label=\"Bayesian Blocks\")\n",
" ax.plot(t, true_pdf(t), '-', color='black',\n",
" label=\"Generating Distribution\", linewidth=2.0, alpha=0.5)\n",
"\n",
" # label the plot\n",
" ax.text(0.02, 0.95, \"%i points\" % N, ha='left', va='top',\n",
" transform=ax.transAxes, fontsize=25)\n",
" ax.set_ylabel('$p(x)$', fontsize=25.0)\n",
" ax.legend(loc='upper right', prop=dict(size=15))\n",
"\n",
" if subplot == 212:\n",
" ax.set_xlabel('$x$', fontsize=25.0)\n",
" #ax.set_xticklabels(fontsize=20)\n",
" ax.set_xlim(0, 20)\n",
" ax.set_ylim(-0.01, 0.4001)\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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8+uij3HLLLY5j7r77bpYvX86+ffsc24wxvPXWW9x2220EBwcDtgVAXnrpJYYP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\nRloas4qKKJ42jeJp00hMTBz+DcaPNwtpi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/+ajDrv6+vb9Kjzcrm86VHn586dI51OMzk5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\nDeN/nTTfNw0He7wAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c997d10>"
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" An important feature of this method is that the bins are optimal in a quantitative sense, meaning that statistical significance can be attached to the bin configuration. -- p228\n",
" \n",
" \n",
"- Do not reinvent the wheel -- you often will spend more time doing it in a quantitatively worse way\n",
"- This code is free, open source, and available in `astroml`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
}
],
"metadata": {}
}
]
}
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