FactorialMoment

The factorial moment $E[X(X-1)\cdots(X-r+1)]$.

FactorialMoment(dist, r)exact for $r=0,1,2$ via the raw-moment identity $E[X(X-1)]=E[X^2]-E[X]$; $r\geq 3$ stays unevaluated.

Typed signatures

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

Domain: Statistics

Details

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

Examples

Basic #

live ↗

In$\mathrm{FactorialMoment}(\mathrm{GeometricDistribution}(\frac{1}{4}), 2)$Out$18$

About

Examples	1

See also: Moment, CentralMoment, Cumulant