Jabarkan where dari Cumulant dalam bahasa sunda

π runs through the list of all partitions of a set of size n;

"B ∈ π" méans B is one of the "blocks" into which the set is partitioned; and

|B| is the size of the set B.

Thus éach monomial is a constant times a product of cumulants in which the sum of the indices is n (e.g., in the term κ3 κ22 κ1, the sum of the indices is 3 + 2 + 2 + 1 = 8; this appéars in the polynomial that expresses the 8th moment as a function of the first eight cumulants).  A partition of the integer n  corresponds to éach term.  The coefficient in éach term is the number of partitions of a set of n members that collapse to that partition of the integer n when the members of the set become indistinguishable.

Cumulants of particular probability distributions

Cumulant sebaran normal mibanda nilai ekspektasi μ sarta varian σ2 mangrupa κ1 = μ, κ2 = σ2, sarta κn = 0 keur n > 2.

Sakabéh cumulant sebaran Poisson sarua jeung nilai ekspektasi.

A distribution with arbitrary given cumulants κn can be approximated through the Gram-Charlier or Edgeworth series.