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Probability density function for the Beta distribution

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 FrontCover Texts, and no BackCover 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

gnuplot source under GPL:
dbeta(x,a,b) = exp((a1)*log(x)+(b1)*log(1x)lgamma(a)lgamma(b)+lgamma(a+b))
pbeta(x,a,b) = ibeta(a,b,x)
set samples 1001
set terminal postscript enhanced colour solid lw 2 "TimesRoman" 20
set output
set xrange [0:1]
set xtics 0.1
f(x,y,z) = dbeta(x,y,z)
set yrange [0:2.6]
set ytics 0.2
set key 0.61,2.4
#f(x,y,z) = pbeta(x,y,z)
#set ytics 0.1
#set key 0.21,0.94
plot \
f(x, 0.5,0.5) title "{/Symbol a} = {/Symbol b} = 0.5", \
f(x, 5, 1) title "{/Symbol a} = 5, {/Symbol b} = 1", \
f(x, 1, 3) title "{/Symbol a} = 1, {/Symbol b} = 3", \
f(x, 2, 2) title "{/Symbol a} = 2, {/Symbol b} = 2", \
f(x, 2, 5) title "{/Symbol a} = 2, {/Symbol b} = 5" lt 7

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.http://www.gnu.org/licenses/gpl.htmlGPLGNU General Public Licensetruetrue 
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