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Last active December 29, 2015 09:38
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Julia version of Weibull Plot
{
"metadata": {
"language": "Julia",
"name": "Weibull_Plot"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": "Julia Version of Weibull Plot"
},
{
"cell_type": "code",
"collapsed": false,
"input": "using PyPlot, Distributions",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "shape = 3.41595\nscale = 204.94\n\nx = [85,135,150,150,190,200,200,240,240,250]\n\nrank = [1,2,3,4,5,6,7,8,9,10] # ranks = {1, 2, 3, ... 10}\nmedian_rank = (rank - 0.3)/(length(rank) + 0.4)\ny = log(-log(1 - median_rank))\n\n# Generate 100000 numbers following a Weibull distribution that we think ideally fits our data using the shape and scale parameter\nx_ideal = rand(Weibull(shape, scale), 100000)\nsort(x_ideal)\n\n# Below is Weibull CDF\nF = 1 - exp(-(x_ideal/scale).^shape) # <--- Not sure why I needed the dot(.) there\n\n# Below is linearized Y from the equation of the line\ny_ideal = log(-log(1 - F))\n\nax = subplot(111)\nscatter(x,y)\nsemilogx(x_ideal, y_ideal)\ntitle(\"Weibull Probability Plot on Log Scale\", weight=\"bold\")\nxlabel(\"x (time)\", weight=\"bold\")\nylabel(\"Cumulative Distribution Function (%)\", weight=\"bold\")\ngrid(\"on\")\nshow()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": "Figure(PyObject <matplotlib.figure.Figure object at 0xfacedcc>)"
}
],
"prompt_number": 54
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": "Now with FuncFormatter"
},
{
"cell_type": "code",
"collapsed": false,
"input": "shape = 3.41595\nscale = 204.94\n\nx = [85,135,150,150,190,200,200,240,240,250]\n\nrank = [1,2,3,4,5,6,7,8,9,10] # ranks = {1, 2, 3, ... 10}\nmedian_rank = (rank - 0.3)/(length(rank) + 0.4)\ny = log(-log(1 - median_rank))\n\n# Generate 100000 numbers following a Weibull distribution that we think ideally fits our data using the shape and scale parameter\nx_ideal = rand(Weibull(shape, scale), 100000)\nsort(x_ideal)\n\n# Below is Weibull CDF\nF = 1 - exp(-(x_ideal/scale).^shape) # <--- Not sure why I needed a dot(.) there\n\n# Below is linearized Y from the equation of the line\ny_ideal = log(-log(1 - F))\n\nax = subplot(111)\nscatter(x,y)\nsemilogx(x_ideal, y_ideal)\ntitle(\"Weibull Probability Plot on Log Scale\", weight=\"bold\")\nxlabel(\"x (time)\", weight=\"bold\")\nylabel(\"Cumulative Distribution Function (%)\", weight=\"bold\")\n\n\nfunction weibull_CDF(y, pos)\n @sprintf(\"%d %%\", 100*(1-exp(-exp(y))))\nend\n\nformatter = plt.FuncFormatter(weibull_CDF)\nax[\"yaxis\"][:set_major_formatter](formatter)\n#ax.yaxis[:set_major_formatter](formatter)\n\nyt_F = [ 0.01, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5,\n 0.6, 0.7, 0.8, 0.9, 0.95, 0.99]\nyt_lnF = log( -log(1-yt_F))\nyticks(yt_lnF)\ngrid(\"on\")\nshow()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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