Generates Weibull distribution probability density function values at specified locations.

Syntax

PDF = WeibullPDF(Points, a, b)

Arguments

Name

Description

Points

A scalar, vector, or matrix of points where the density function is to be evaluated. The output is 0 for negative values.

a

The scale parameter. A positive scalar.

b

The shape parameter. A positive scalar.

Outputs

Name

Description

PDF

A scalar or vector of the density function values at the given points. The same size as Points.

Example 1

Find the Weibull probability density function at points 0.1, 0.3, and 0.8 with parameters
a = 2 and b = 5.

Syntax

pdf = WeibullPDF([0.1,0.3,0.8],2,5)

Results

pdf = 1.5625e-005    0.0012655    0.063348

Comments

The Weibull distribution does not have a standard parameterization. The form used here has the following PDF:

f(x) = (b/a) * (x/a)^(b-1) * e^[-(x/a)^b]

See Also:

WeibullCDF

WeibullInvCDF

Probability Distributions