File:Beta distribution cdf.png

Summary

Description
English: Cumulative distribution function for the Beta distribution
Date
Source Own work
Author MarkSweep
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MarkSweep, the copyright holder of this work, hereby publishes it under the following licenses:
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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MarkSweep
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Category:CC-BY-SA-3.0-migrated#Beta%20distribution%20cdf.pngCategory:License migration completed#Beta%20distribution%20cdf.pngCategory:GFDL#Beta%20distribution%20cdf.png

© MarkSweep

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Gnuplot source code

 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
Category:Beta distribution
Category:Beta distribution Category:CC-BY-SA-3.0-migrated Category:GFDL Category:GPL Category:License migration completed Category:PNG created with Gnuplot Category:Self-published work Category:Vector version available