paper

Moments of the log non-central chi-square distribution

arXiv:1503.06266

Abstract

The cumulants and moments of the log of the non-central chi-square distribution are derived. For example, the expected log of a chi-square random variable with v degrees of freedom is log(2) + psi(v/2). Applications to modeling probability distributions are discussed.

8 pages

Moments of the log non-central chi-square distribution · wovepaper