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Probability density 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
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