BETAINV

Syntax:

BETAINV ( probability , alpha , beta [ , [ A ] , [ B ] ] )

Description: Computes the inverse of the cumulative distribution function for a specified beta distribution. Given a value for probability, BETAINV is used to seek for the value x such that BETADIST(x, alpha, beta, AB) = probability. Thus, precision of BETAINV depends on precision of BETADIST. BETAINV uses an iterative search technique.

Arguments:

Name

Type

Description

probability

number

A probability associated with the beta distribution.

alpha

number

A parameter of the distribution.

beta

number

A parameter of the distribution.

A

number

The lower bound to the interval of x. If omitted, the lower bound is 0.

B

number

The upper bound to the interval of x. If omitted, the upper bound is 1.

Return Type and Value: number – The inverse of the cumulative distribution function for a specified beta distribution.

However, if

  • alpha or beta ≤ 0, #NUM! is returned.

  • probability < 0 or probability > 1, #NUM! is returned.

  • The search has not converged after some implementation-defined number of iterations, #N/A is returned.

example: