Function Reference: betapdf

statistics: y = betapdf (x, a, b)

Beta probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Beta distribution with shape parameters a and b. The size of y is the common size of x, a, and b. A scalar input functions as a constant matrix of the same size as the other inputs.

Further information about the Beta distribution can be found at https://en.wikipedia.org/wiki/Beta_distribution

See also: betacdf, betainv, betarnd, betafit, betalike, betastat

Source Code: betapdf

Example: 1

  

 ## Plot various PDFs from the Beta distribution
 x = 0.001:0.001:0.999;
 y1 = betapdf (x, 0.5, 0.5);
 y2 = betapdf (x, 5, 1);
 y3 = betapdf (x, 1, 3);
 y4 = betapdf (x, 2, 2);
 y5 = betapdf (x, 2, 5);
 plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-c", x, y5, "-m")
 grid on
 ylim ([0, 2.5])
 legend ({"α = β = 0.5", "α = 5, β = 1", "α = 1, β = 3", ...
          "α = 2, β = 2", "α = 2, β = 5"}, "location", "north")
 title ("Beta PDF")
 xlabel ("values in x")
 ylabel ("density")
plotted figure