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I am trying to do some symbolic statistics. Is there a way to get the Domain of a distribution? Like this

Domain[UniformDistribution[]]
>> 0<=x<=1

Domain[BinomialDistribution[n,p]]
>> 0 <= x <= n && x [elem] Integers

I assume that some kind of function like this is used by Expectation and other descriptive statiscal function.

J. M.'s missing motivation
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meneken17
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    Use DistributionDomain[...]. It's lacking documentation apparently but it does what you need. The proper term for this is the 'support' of a random variable. See this answer here too: https://mathematica.stackexchange.com/a/46310/72682 – flinty Jun 21 '20 at 23:25

1 Answers1

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Use DistributionDomain[]. It's lacking documentation apparently:

DistributionDomain[TriangularDistribution[{a, b}]]
(* Interval[{a, b}] *)

DistributionDomain[NormalDistribution[m, s]]
(* Interval[{-∞, ∞}] *)


DistributionDomain[ParetoDistribution[a, 1]]
(* Interval[{a, ∞}] *)


DistributionDomain[CategoricalDistribution[{"cow", "chicken", "potato"}]]
(* {"cow", "chicken", "potato"} *)
flinty
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