Generates Weibull distribution inverse cumulative density function values at specified locations.

Syntax

X = WeibullInvCDF(Prob, a, b)

Arguments

Name

Description

Prob

A scalar, vector or matrix of probabilities in the interval (0,1) at which the inverse cumulative density function is to be evaluated.

a

The scale parameter. A positive scalar.

b

The shape parameter. A positive scalar.

Outputs

Name

Description

X

A scalar, vector or matrix of the inverse cumulative density function values for the given probabilities. The same size as Prob.

Example 1

Find the Weibull inverse cumulative density function for probabilities 0.1, 0.3, and 0.8 with parameters a = 2 and b = 5.

Syntax

x = WeibullInvCDF([0.1,0.3,0.8],2,5)

Results

x = 1.2752    1.6274    2.1997

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

WeibullPDF

Probability Distributions