File:Logisticpdfunction.png

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Summary[edit]

The Logistic distribution function.

The Gnuplot script for this graph:

 logisticd(x,r,n) = exp(-(x-r)/n)/(n*(1+exp(-(x-r)/n))**2)
 set samples 1001
 set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
 set output 'logistic_pdf.ps'
 set ytics 0.1
 f(x,y,z) = logisticd(x,y,z)
 set key 15,0.25
 plot [-5:20] \
 f(x, 5,2) title "{/Symbol m} = 5 s = 2", \
 f(x, 9,3) title "{/Symbol m} = 9 s = 3", \
 f(x, 9,4) title "{/Symbol m} = 9 s = 4", \
 f(x, 6,2) title "{/Symbol m} = 6 s = 2", \
 f(x, 2,1) title "{/Symbol m} = 2 s = 1"

Further processing used:

 pstopnm logistic_pdf.ps
 (pnmrotate -90 | pnmscale -xysize 720 504  | pnmtopng)  < logistic_pdf001.ppm > logistic_pdf.png

Licensing[edit]

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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

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