LogisticDistribution

Description

The logistic distribution is a continuous distribution defined with a location ( $var element = document.getElementById("moose-equation-00f085b6-30d8-468b-a7f6-34eaea49c726");katex.render("\\alpha", element, {displayMode:false,throwOnError:false});$ ) and shape ( $var element = document.getElementById("moose-equation-ba93e853-6b96-4199-a760-3fb588529333");katex.render("\\beta", element, {displayMode:false,throwOnError:false});$ ) parameters.

Probability Density Function:

$(1)var element = document.getElementById("moose-equation-e5b34be6-a5b0-4179-baa1-c604ad5eb587");katex.render("z(x) = \\exp{-\\frac{(x - \\alpha)}{\\beta}} f(x) = \\frac{z(x)}{(\\alpha * (1.0 + z)^2)}", element, {displayMode:true,throwOnError:false});$

Cumulative Density Function:

$(2)var element = document.getElementById("moose-equation-8555fe20-b0ee-4ad9-976f-4c95c4592ead");katex.render("F(x) = \\frac{1}{1+z(x)}", element, {displayMode:true,throwOnError:false});$

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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