Core Algorithms

Parametric Distributions from Other Parametric Distributions

Operation on selected parametric distributions leading to other parametric distributions.

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dists = {HoldForm[

OrderDistribution[{UniformDistribution[{0, 1}], n}, k]],

HoldForm[

TransformedDistribution[

Min[u, v], {u \[Distributed]

ExponentialDistribution[Subscript[\[Lambda], 1]],

v \[Distributed]

ExponentialDistribution[Subscript[\[Lambda], 2]]}]],

HoldForm[

TransformedDistribution[

u + v, {u \[Distributed]

CauchyDistribution[Subscript[a, 1], Subscript[b, 1]],

v \[Distributed]

CauchyDistribution[Subscript[a, 2], Subscript[b, 2]]}]],

HoldForm[

ParameterMixtureDistribution[BorelTannerDistribution[\[Alpha], n],

n \[Distributed] PoissonDistribution[\[Mu]]]],

HoldForm[

ParameterMixtureDistribution[BinomialDistribution[n, p],

p \[Distributed] BetaDistribution[\[Alpha], \[Beta]]]],

HoldForm[

TruncatedDistribution[{0, \[Infinity]},

GumbelDistribution[\[Alpha], \[Beta]]]],

HoldForm[

TruncatedDistribution[{0, \[Infinity]},

NormalDistribution[0, \[Sigma]]]],

HoldForm[MarginalDistribution[BinormalDistribution[\[Rho]], 2]]

};

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