158 research outputs found
Asymptotic expansion for inverse moments of binomial and Poisson distributions
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.Comment: 8 page
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