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Moments of the log non-central chi-square distribution

Applications 2015-03-24 v1 Probability

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.

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Cite

@article{arxiv.1503.06266,
  title  = {Moments of the log non-central chi-square distribution},
  author = {Steven E. Pav},
  journal= {arXiv preprint arXiv:1503.06266},
  year   = {2015}
}

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8 pages