Supported distributions
Carina Pilch edited this page Jun 19, 2018
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The following table gives an overview about the distributions which can be used within the tool for the firing behaviour of general transitions.
The documentation of the used library classes can be found at: http://www.iro.umontreal.ca/~simardr/ssj/doc/html/umontreal/iro/lecuyer/randvar/RandomVariateGen.html
CDF function | Required value in XML | Required parameters | Used class name |
---|---|---|---|
Uniform | uniform | a, b ∈ ℝ with a < b | UniformGen |
Normal | normal | mu ∈ ℝ, sigma ∈ ℝ⁺ | NormalGen |
Folded normal | foldednormal | mu ∈ ℝ≥0, sigma ∈ ℝ⁺ | FoldedNormalGen |
Half normal | halfnormal | sigma ∈ ℝ⁺ (version 1.0: mu ∈ ℝ required, later versions: fixed mu=0) | HalfNormalGen |
Log normal | lognormal | mu ∈ ℝ, sigma ∈ ℝ⁺ | LognormalGen |
Inverse normal | inversenormal | mu, lambda ∈ ℝ⁺ | InverseGaussianGen |
Beta | beta | alpha, beta ∈ ℝ⁺ (version 1.0: a, b ∈ ℝ with a < b required, later versions: fixed a=0, b=1) | BetaGen |
Cauchy | cauchy | alpha ∈ ℝ, beta ∈ ℝ⁺ | CauchyGen |
Chi (only in version 1.0) | chi | nu ∈ ℕ⁺ | ChiGen |
Chi square | chisquare | n ∈ ℕ⁺ | ChiSquareGen |
Exponential | exp | lambda ∈ ℝ⁺ | ExponentialGen |
Fisher's F | fisherf | n, m ∈ ℕ⁺ | FisherFGen |
Frechet (only in version 1.0) | frechet | alpha, beta ∈ ℝ⁺, delta ∈ ℝ | FrechetGen |
Gamma | gamma | alpha, beta ∈ ℝ⁺ (version 1.0: lambda instead of beta) | GammaGen |
Inverse gamma | inversegamma | alpha, beta ∈ ℝ⁺ | InverseGammaGen |
Gumbel (only in version 1.0) | gumbel | beta ∈ ℝ\{0}, delta ∈ ℝ | GumbelGen |
Laplace | laplace | beta ∈ ℝ⁺, mu ∈ ℝ | LaplaceGen |
Logistic | logistic | mu ∈ ℝ, s ∈ ℝ⁺ (version 1.0: alpha instead of mu and lambda instead of 1/s) | LogisticGen |
Log logistic (only in version 1.0) | loglogistic | alpha, beta ∈ ℝ⁺ | LoglogisticGen |
Pareto | pareto | alpha, beta ∈ ℝ⁺ | ParetoGen |
Rayleigh | rayleigh | beta ∈ ℝ⁺ (version 1.0: a ∈ ℝ required, later versions: fixed a=0) | RayleighGen |
Student | student | n ∈ ℕ⁺ | StudentGen |
Weibull | weibull | alpha, beta ∈ ℝ⁺ (version 1.0: lambda instead of 1/beta and delta ∈ ℝ required, later versions: fixed delta=0) | WeibullGen |