# Author: Ika
# Date: 08/16/2014
# The support interval is [0,1]
# Note that Inkscape is needed to address the display problem of the Greek letters.

set term svg size 800,600 enhanced font 'Arial, 22'
set output 'beta_rect_pdf.svg'

set samples 500
set xrange [0:1.0]
set yrange [0.5:1.5]
set xtics 0.1
set ytics 0.1
set xzeroaxis lt -1 lc rgb "black" lw 1
set yzeroaxis lt -1 lc rgb "black" lw 1

# Draw the Beta rectangular distribution's pdf
set key center bottom

f(x,theta, a, b) = theta*gamma(a+b)/gamma(a)/gamma(b)*(x**(a-1))*((1-x)**(b-1))+1-theta

plot f(x, 0.1,1,1) t "t=0.2, a=1, b=1" lc rgb "red" lw 5,\
   f(x, 0.4,2,1) t "t=0.4, a=2, b=1" lc rgb "black" lw 5,\
   f(x, 0.4,1,2) t "t=0.4, a=1, b=2" lc rgb "blue" lw 5,\
   f(x, 0.5,2,2) t "t=0.5, a=2, b=2" lc rgb "green" lw 5

set term x11
set output

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• to remix – to adapt the work

Under the following conditions:

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• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue