betapdf (Statistics Toolbox)

Beta probability density function (pdf).

Syntax

Y = betapdf(X,A,B)

Description

betapdf(X,A,B) computes the beta pdf with parameters A and B at the values in X. The arguments X, A, and B must all be the same size except that scalar arguments function as constant matrices of the common size of the other arguments.

The parameters A and B must both be positive and X must lie on the interval
[0 1].

The probability density function for the beta distribution is:

A likelihood function is the pdf viewed as a function of the parameters. Maximum likelihood estimators (MLEs) are the values of the parameters that maximize the likelihood function for a fixed value of x.

The uniform distribution on [0 1] is a degenerate case of the beta where
a = 1 and b = 1.

Examples

a = [0.5 1; 2 4]


a =


    0.5000    1.0000
    2.0000    4.0000

y = betapdf(0.5,a,a)


y =
    0.6366    1.0000
    1.5000    2.1875

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