Image:Beta distribution cdf.png

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Cumulative distribution function for the Beta distribution

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gnuplot source under GPL:

dbeta(x,a,b) = exp((a-1)*log(x)+(b-1)*log(1-x)-lgamma(a)-lgamma(b)+lgamma(a+b))
pbeta(x,a,b) = ibeta(a,b,x)

set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 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. العربية | Català | Česky | Deutsch | Ελληνικά | English | Español | فارسی | Français | Italiano | 日本語 | Nederlands | Polski | Português | Русский | Slovenčina | Svenska | Türkçe | ‪中文(简体)‬ | ‪中文(繁體)‬ | +/-

• Beta distribution