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Gamma distribution cdf.png

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Cumulative distribution function for the Gamma distribution

Heckert GNU white 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."

gnuplot source under GPL:

_ln_dgamma(x, a, b) = a*log(b) - lgamma(a) + (a-1)*log(x) - b*x
dgamma(x, shape, rate) =\
 (x<0)? 0 :\
 (x==0)? ((shape<1)? 1/0 : (shape==1)? rate : 0) :\
 (rate==0)? 0 :\
 exp(_ln_dgamma(x, shape, rate))
pgamma(x, shape, rate) = (x<0)? 0 : igamma(shape, x*rate)

set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
set output

set xtics 0,2
set ytics 0,0.1

#f(x, k, t) = dgamma(x, k, 1.0/t)
#set key top right

f(x, k, t) = pgamma(x, k, 1.0/t)
set key bottom right

plot [0:20] \
    f(x,1,2.0) title "{/Times-Italic k} = 1, {/Symbol q} = 2.0", \
    f(x,2,2.0) title "{/Times-Italic k} = 2, {/Symbol q} = 2.0", \
    f(x,3,2.0) title "{/Times-Italic k} = 3, {/Symbol q} = 2.0", \
    f(x,5,1.0) title "{/Times-Italic k} = 5, {/Symbol q} = 1.0", \
    f(x,9,0.5) title "{/Times-Italic k} = 9, {/Symbol q} = 0.5" lt 7
Lissajous curve 3by2 This |}

This file 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 (at your option) 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 the GNU General Public License for more details.

This page uses content from the Wikimedia Commons. The original content was at File:Gamma distribution cdf.png. The list of authors can be seen in the page history. As with this Psychology Wiki wiki, that portion of the content of Wikimedia Commons is available under the GNU Free Documentation License.

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Date/TimeThumbnailDimensionsUserComment
current09:14, November 4, 2007Thumbnail for version as of 09:14, November 4, 20071,300 × 975 (174 KB)PhloxBot (Talk | contribs)Cumulative distribution function for the Gamma distribution {{GFDL}} gnuplot source under GPL: _ln_dgamma(x, a, b) = a*log(b) - lgamma(a) + (a-1)*log(x) - b*x dgamma(x, shape, rate) =\ (x<0)? 0 :\ (x==0)? ((shape<1)? 1/0 : (shape==1)? rate : 0) :\

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