- alphaShape parameter 1.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Shape parameter 1.
- betaShape parameter 2.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Shape parameter 2.
Beta Distribution
Beta distribution
Overview
This object defines a beta distribution with two shape parameters: "alpha" () and "beta" (). The probability density function, cumulative distribution function, and quantile are defined in Eq. (1), Eq. (2), and Eq. (3), respectively.
(1)(2)(3)where and . is the beta function defined in Eq. (4), is the regularized incomplete beta function defined in Eq. (5), and is the inverse of the incomplete beta function. Each of these quantities are computed using a custom iterative procedure (Press et al., 1992), which obtains an accuracy of about .
(4)(5)Input Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Set the enabled status of the MooseObject.
Advanced Parameters
References
- William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery.
Numerical Recipes in C.
Cambridge University Press, USA, 1992.
ISBN 0521431085.[BibTeX]