HyperMath

WeibullCDF

WeibullCDF

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WeibullCDF

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Generates Weibull distribution cumulative density function values at specified locations.

Syntax

CDF = WeibullCDF(Points, a, b)

Arguments

Name

Description

 

Points

A scalar, vector or matrix of positive data points at which the cumulative density function is to be evaluated.

 

a

The scale parameter. A positive scalar.

 

b

The shape parameter. A positive scalar.

Outputs

Name

Description

 

CDF

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

Example 1

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

 

Syntax

 

cdf = WeibullCDF([0.1,0.3,0.8],2,5)

 

Results

 

cdf = 3.125e-007    7.5935e-005    0.010188

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:

WeibullInvCDF

WeibullPDF

Probability Distributions