LogisticDistribution

Description

The logistic distribution is a continuous distribution defined with a location ( $var element = document.getElementById("moose-equation-808a5967-7fd4-4bd6-b2bb-662208db5a67");katex.render("\\alpha", element, {macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"},throwOnError:false,displayMode:false});$ ) and shape ( $var element = document.getElementById("moose-equation-45d773ff-d783-44bb-857a-c7b5d91effde");katex.render("\\beta", element, {macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"},throwOnError:false,displayMode:false});$ ) parameters.

Probability Density Function:

$(1)var element = document.getElementById("moose-equation-3b583db0-2de7-43fe-8e14-f1ddd5904eb8");katex.render("z(x) = \\exp{-\\frac{(x - \\alpha)}{\\beta}} f(x) = \\frac{z(x)}{(\\alpha * (1.0 + z)^2)}", element, {macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"},throwOnError:false,displayMode:true});$

Cumulative Density Function:

$(2)var element = document.getElementById("moose-equation-560d9c62-f275-4012-a7f2-4a830b8ba4a9");katex.render("F(x) = \\frac{1}{1+z(x)}", element, {macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"},throwOnError:false,displayMode:true});$

Logistic distribution.

Input Parameters

shapeShape of the distribution (beta or s)
C++ Type:double
Options:
Description:Shape of the distribution (beta or s)
locationLocation or mean of the distribution (alpha or mu)
C++ Type:double
Options:
Description:Location or mean of the distribution (alpha or mu)

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

modules/stochastic_tools/test/tests/distributions/logistic.i

modules/stochastic_tools/test/tests/distributions/logistic.i

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 1
  ny = 1
[]

[Variables]
  [./u]
  [../]
[]

[Distributions]
  [./logistic_test]
    type = LogisticDistribution
    location = 1
    shape = 1
  [../]
[]

[Postprocessors]
  [./cdf]
    type = TestDistributionPostprocessor
    distribution = logistic_test
    value = 1.5
    method = cdf
    execute_on = initial
  [../]
  [./pdf]
    type = TestDistributionPostprocessor
    distribution = logistic_test
    value = 1.5
    method = pdf
    execute_on = initial
  [../]
  [./quantile]
    type = TestDistributionPostprocessor
    distribution = logistic_test
    value = 0.5
    method = quantile
    execute_on = initial
  [../]
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
  kernel_coverage_check = false
[]

[Outputs]
  execute_on = 'INITIAL'
  csv = true
[]

References

Description
Input Parameters
Input Files
References

Application Usage

Physics and Syntax

Application Development

Framework Development

MOOSEDocs

Infrastructure

Questions

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