Moment

The raw moment $E[X^r]$ .

Moment(dist, r)exact for

r=0,1,2

via Mean/Variance (

E[X^2]=Variance+Mean^2

);

r\geq 3

stays unevaluated for every distribution EXCEPT BernoulliDistribution, which has an order-independent identity — a distribution-specific formula this generic layer doesn't otherwise have, not an approximation.

Typed signatures

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

Domain: Statistics

Details

Generic over every distribution this package's Mean/Variance answer, old or new.
BernoulliDistribution( $p$ ): $X\in\{0,1\}$ so $X^r=X$ identically for any $r\geq1$ , giving $Moment(r) = p$ at every order, not just $r\leq2$ .