Asymptotic expansion for inverse moments of binomial and Poisson distributions

Details Asymptotic expansion for inverse moments of binomial and Poisson distributions Asymptotic expansion for inverse moments of binomial and Poisson distributions

2005-11-09

arxiv.org/abs/math/0511226v1

The Open Statistics & Probability Journal 1, 7-10 (2009)

Mathematics

Statistics Theory

8 pages

Scientific paper

10.2174/1876527000901010007

An asymptotic expansion for inverse moments of positive binomial and Poisson distributions is derived. The expansion coefficients of the asymptotic series are given by the positive central moments of the distribution. Compared to previous results, a single expansion formula covers all (also non-integer) inverse moments. In addition, the approach can be generalized to other positive distributions.

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