Image:Inverse gamma cdf.png

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Cumulative distribution function for the Inverse-gamma distribution


GNU head 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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gnuplot source under GPL:

dinvgamma(x,a,b) = exp(a*log(b) - lgamma(a) - (a+1)*log(x) - b*1.0/x)
pinvgamma(x,a,b) = 1 - igamma(a, b*1.0/x)

set xtics 0,0.5
set ytics 0,0.5
set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 27
set output

plot [0:3] \
    pinvgamma(x,1,1)  title "{/Symbol a} = 1, {/Symbol b} = 1", \
    pinvgamma(x,2,1)  title "{/Symbol a} = 2, {/Symbol b} = 1", \
    pinvgamma(x,3,1)  title "{/Symbol a} = 3, {/Symbol b} = 1", \
    pinvgamma(x,3,.5) title "{/Symbol a} = 3, {/Symbol b} = 0.5"
This vector image was created with gnuplot.
GNU head This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See version 2 and version 3 of the GNU General Public License for more details.

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File history

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Date/TimeDimensionsUserComment
current23:23, 22 April 20051,300×965 (179 KB)Cburnett (Cumulative distribution function for the Inverse-gamma distribution {{GFDL}} gnuplot source under GPL: dinvgamma(x,a,b) = exp(a*log(b) - lgamma(a) - (a+1)*log(x) - b*1.0/x) pinvgamma(x,a,b) = 1 - igamma(a, b*1.0/x) set xtics 0,0.5 set ytics 0,0.5 )
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