ID EN
…
#Statistical

WEIBULL

Excel Functions

Get the PDF or CDF of the Weibull distribution.

Syntax

EXCEL 
=WEIBULL(x, alpha, beta, cumulative)

Arguments

Parameter Description
x The value at which to evaluate the distribution (must be ≥ 0).
alpha The shape parameter of the distribution (must be > 0).
beta The scale parameter of the distribution (must be > 0).
cumulative A logical value that determines the form of the function. If TRUE, returns the cumulative distribution function; if FALSE, returns the probability density function.

Return Value

A number representing the probability density or cumulative probability value.

Details

The WEIBULL function calculates values for the Weibull distribution, which is a continuous probability distribution commonly used to model the time until failure of a component or system. The Weibull distribution is particularly useful in reliability engineering, survival analysis, and failure time analysis, as it can model increasing, constant, or decreasing failure rates depending on the value of the shape parameter (alpha). For better accuracy and consistency with other modern statistical functions, it is recommended to use the WEIBULL.DIST function. WEIBULL.DIST uses the same arguments and provides the same core functionality with improved numerical precision. See the WEIBULL.DIST function for more details.

See Also

WEIBULL.DIST