WEIBULL

Syntax:

WEIBULL ( x , alpha , beta , cumulative-flag )

Description: Computes the Weibull distribution.

Mathematical Formula:

The equation for the Weibull cumulative distribution function is:

The equation for the Weibull probability density function is:

When alpha = 1, WEIBULL returns the exponential distribution with:

Arguments:

Name

Type

Description

x

number

The value at which the distribution is to be evaluated.

alpha

number

A parameter of the distribution.

beta

number

A parameter of the distribution.

cumulative-flag

logical

Determines the form of the function. If TRUE, GAMMADIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Return Type and Value: number – The Weibull distribution.

However, if

  • x < 0, #NUM! is returned.

  • alpha ≤ 0, #NUM! is returned.

  • beta ≤ 0, #NUM! is returned.

example: