betaincinv

Inverse of the regularized incomplete beta function.

Category: Mathematics > Elementary Math

Syntax

X = betaincinv(Y, Z, W)

Returns the X for which betainc(X, Z, W) equals Y.

Description

This is the quantile function of the beta distribution. For example, betaincinv(0.5, 2, 2) is 0.5, the median of a symmetric beta. Applying betainc to the result returns Y, up to rounding.

Input arguments

Y
Probabilities in [0, 1].
Z, W
Positive shape parameters.

Output arguments

X
Values in [0, 1].

Example

Quantiles of a beta distribution

betaincinv(0.5, 2, 2)
betaincinv(0.6875, 2, 3)
Output
ans = 0.5000
ans = 0.5000

See also

betainc beta gammaincinv erfinv