File:Loglogisticcdf.svg
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Size of this PNG preview of this SVG file: 485 × 425 pixels. Other resolutions: 274 × 240 pixels | 548 × 480 pixels | 876 × 768 pixels | 1,169 × 1,024 pixels | 2,337 × 2,048 pixels.
Original file (SVG file, nominally 485 × 425 pixels, file size: 64 KB)
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) |
W3C-validity not checked.
Source code using en:gnuplot 4.2.2:
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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:
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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 licences:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence.
Attribution: Qwfp at English Wikipedia
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the licence, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible licence as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, 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 licence is included in the section entitled GNU Free Documentation Licence. |
You may select the licence of your choice.
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= }}
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:36, 25 September 2011 | | 485 × 425 (64 KB) | wikimediacommons>Krishnavedala | created using python, with valid SVG, corrected characters. |
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