File:Loglogisticcdf.svg
Summary
| Description |
English: log-logistic distribution function. |
| Date |
13 February 2008 (original upload date) (Original text: 2008-02-09) |
| Source | Own work (Original text: self-made) |
| Author | Qwfp (talk) |
Source code using en:gnuplot 4.2.2: |
|---|
cdf(x,a,b) = (x/a)**b/(1+(x/a)**(b))
set samples 1001
set terminal svg enhanced size 1300 975 linewidth 5 font "Times,36"
set output "loglogisticcdf.svg"
#set terminal windows color enhanced
set ytics 0.5
f(x,y,z) = cdf(x,y,z)
set key top left reverse Left
plot [0:2] [0:1] \
f(x, 1, .5) title "1/2", \
f(x, 1, 1) title "1", \
f(x, 1, 2) title "2", \
f(x, 1, 4) title "4", \
f(x, 1, 8) title "8"
set output
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Source code for python: |
|---|
from numpy import *
from matplotlib.pyplot import *
from mpl_toolkits.axes_grid.axislines import SubplotZero
cdf = lambda a,b,x: 1./ (1. + (x/a)**(-b) )
fig = figure(figsize=(6,5))
ax = SubplotZero(fig,111)
fig.add_subplot(ax)
ax.grid(True)
ax.minorticks_on()
x = linspace(0,2)
B = [1.,2.,4.,8.]
ax.plot(x,cdf(1.,.5,x),lw=1.5,label=r'$\beta=1/2$')
for b in B:
ax.plot(x,cdf(1.,b,x),lw=1.5,label=r'$\beta=%d$'%b)
ax.set_ylim(0,1)
ax.set_xlim(0,2)
ax.legend(loc='upper left',frameon=False)
ax.set_yticks(arange(0,1.1,.25))
ax.set_yticklabels((r'0',r'0.25',r'0.5',r'0.75',r'1'))
ax.set_xticks((0,.5,1,1.5,2))
ax.set_xticklabels((r'0',r'0.5',r'1',r'1.5',r'2'))
ax.set_xlabel(r'x $-\!\rightarrow$')
fig.savefig("Loglogisticcdf.svg",bbox_inches="tight",pad_inches=.15)
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Licensing
Qwfp at English Wikipedia, the copyright holder of this work, hereby publishes it under the following licenses:
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 |
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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Original upload log
The original description page was here. All following user names refer to en.wikipedia.
- 2008-02-13 12:15 Qwfp 1300×975× (74524 bytes) {{Information |Description=log-logistic distribution function |Source=self-made |Date=2008-02-13 |Location= |Author=~~~ |Permission= |other_versions= }}
- 2008-02-09 18:30 Qwfp 600×480× (73664 bytes) {{Information |Description=log-logistic distribution function |Source=self-made |Date=2008-02-09 |Location= |Author=~~~ |Permission= |other_versions= }}