CentralMoment

The central moment $E[(X-Mean)^r]$.

CentralMoment(dist, r)exact for $r=0$ (always $1$), $r=1$ (always $0$) and $r=2$ (always Variance); $r\geq 3$ stays unevaluated.

Typed signatures

Type	Package	Applies
(distribution, integer) -> real	statistics	always

Domain: Statistics

Details

• Generic over every distribution this package's Variance answers, old or new.

Examples

Basic #

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In$\mathrm{CentralMoment}(\mathrm{ChiSquareDistribution}(3), 0)$Out$1$

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In$\mathrm{CentralMoment}(\mathrm{ChiSquareDistribution}(3), 1)$Out$0$

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In$\mathrm{CentralMoment}(\mathrm{ChiSquareDistribution}(3), 2)$Out$6$

About

Examples	3

See also: Moment, FactorialMoment, Cumulant, Variance