JohnsonSBDistribution

Description

The Johnson Special Bounded (SB) distribution Johnson et al. (1994) is related to the normal distribution. Four parameters are needed: , , , and . It is a continuous distribution defined on bounded range , and the distribution can be symmetric or asymmetric.

Probability Density Function:

(1)

Cumulative Density Function:

(2)

Johnson Special Bounded (SB) distribution.

Input Parameters

  • aLower location parameter

    C++ Type:double

    Options:

    Description:Lower location parameter

  • bUpper location parameter

    C++ Type:double

    Options:

    Description:Upper location parameter

  • alpha_2Shape parameter (sometimes called b)

    C++ Type:double

    Options:

    Description:Shape parameter (sometimes called b)

  • alpha_1Shape parameter (sometimes called a)

    C++ Type:double

    Options:

    Description:Shape parameter (sometimes called a)

Required Parameters

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

    C++ Type:std::vector

    Options:

    Description:Adds user-defined labels for accessing object parameters via control logic.

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Options:

    Description:Set the enabled status of the MooseObject.

Advanced Parameters

Input Files

References

  1. N. L. Johnson, S. Kotz, and N. Balakrishnan. Continuous Univariate Distributions. Volume 1. Wiley, 1994.[BibTeX]