This information is part of the Modelica Standard Library maintained by the Modelica Association.

Syntax

Weibull.cumulative(u, u_min=0, u_max=1, lambda=1, k=1);

Description

This function computes the cumulative distribution function according to a truncated Weibull distribution with minimum value u_min, maximum value u_max, scale parameter of original distribution lambda and shape parameter of original distribution k. The returned value y is in the range:

0 ≤ y ≤ 1

Plot of the function:

For more details
of the Weibull distribution, see Wikipedia,
of truncated distributions, see Wikipedia.

Example

  cumulative(0.5)             // = 0.6224593312018546
  cumulative(0.5,0,0.8,0.5,2) // = 0.6850805314988328

See also

TruncatedWeibull.density, TruncatedWeibull.quantile.

y = cumulative(u, u_min, u_max, lambda, k)

u	Type: Real Description: Value over the real axis (-inf < u < inf)
u_min	Default Value: 0 Type: Real Description: Lower limit of u
u_max	Default Value: 1 Type: Real Description: Upper limit of u
lambda	Default Value: 1 Type: Real Description: Scale parameter of the Weibull distribution
k	Type: Real Description: Shape parameter of the Weibull distribution

y	Type: Real Description: Value in the range 0 <= y <= 1