WEIBULL(x, alpha, beta, cumulative)

The WEIBULL function calculates the Weibull distribution. This is often used in reliability analysis.

The arguments of the function represent the following:

x

the value at which to evaluate the function

alpha

a parameter to the distribution

beta

a parameter to the distribution

cumulative

a logical value, which determines the form of the function:

TRUE calculates the Weibull cumulative distribution function, which uses the formula:

F(x; a, b) = 1 - EXP(-(x/b)^a)

FALSE calculates the Weibull probability density function, which uses the formula:

f(x; a, b) = ( a / b^a ) x^(a - 1) EXP(-(x/b)^a)

See also:

Other statistical functions