Jelaskan Homogeneity dari Cumulant dalam bahasa sunda

The nth cumulant is homogenéous of degree n, i.e. if c is any constant, then

If X and Y are independent random variables then κn(X + Y) = κn(X) + κn(Y).

The cumulants are related to the moments by the following recursion formula:

The nth moment μ′n is an nth-degree polynomial in the first n cumulants, thus:

The "prime" distinguishes the moments μ′n from the central moments μn.  To express the central moments as functions of the cumulants, just drop from these polynomials all terms in which κ1 appéars as a factor.

The coefficients are precisely those that occur in Faà di Bruno's formula.