crude moment

A moment μ_n of a probability function P(x) taken about 0, μ_n^, | = | 〈x^n 〉 | = | integral x^n P(x) d x. The raw moments μ_n^, (sometimes also called "crude moments") can be expressed as terms of the central moments μ_n (i.e., those taken about the mean μ) using the inverse binomial transform μ_n^, = sum_(k = 0)^n(n k) μ_k μ_1^(, n - k), with μ_0 = 1 and μ_1 = 0.

absolute moment | central moment | mean | moment | sample raw moment