Weibull

Three-parameter Weibull distribution.

Description

The Weibull object defines a translated Weibull distribution which has a probability density function (PDF) defined as

f(x;λ,k,θ)={kλ(xθλ)k1e(xθλ)kx0,0x<0,f(x;\lambda,k,\theta) = \begin{cases} \frac{k}{\lambda}\left(\frac{x-\theta}{\lambda}\right)^{k-1}e^{-(\frac{x-\theta}{\lambda})^{k}} & x\geq0 ,\\ 0 & x<0, \end{cases}

where k>0k > 0 and defines the shape parameter, λ>0\lambda > 0 and defines the scale parameter and θ\theta is the location parameter of the distribution.

Example Input Syntax

[Distributions]
  [weibull]
    type = Weibull
    shape = 5
    scale = 1
    location = 0
  []
[]
(contrib/moose/modules/stochastic_tools/test/tests/distributions/weibull.i)

Input Parameters

  • locationLocation parameter (a or low)

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Location parameter (a or low)

  • scaleScale parameter (b or lambda)

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Scale parameter (b or lambda)

  • shapeShape parameter (c or k)

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Shape parameter (c or k)

Required 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