Asymptotic expansions for inverse moments of binomial and negative binomial

DOI10.1016/j.spl.2008.05.030zbMath1317.62014OpenAlexW2058723094MaRDI QIDQ956386

Wuyungaowa, Tian-ming Wang

Publication date: 25 November 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.05.030

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05)

Related Items (8)

A winner's mean earnings in lottery and inverse moments of the binomial distribution ⋮ Inheritance of strong mixing and weak dependence under renewal sampling ⋮ An integral representation for inverse moments ⋮ Some recursive formulas related to inverse moments of the random variables with binomial-type distributions ⋮ Approximation of inverse moments of discrete distributions ⋮ The algebro-geometric study of range maps ⋮ On an asymptotic series of Ramanujan ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Reciprocal Bernoulli and Poisson variables
• Approximating the negative moments of the Poisson distribution.
• Asymptotic Eulerian expansions for binomial and negative binomial reciprocals
• Asymptotic factorial powers expansions for binomial and negative binomial reciprocals
• Entropy computations via analytic depoissonization
• Tables of the Expected Value of 1/X for Positive Bernoulli and Poisson Variables
• The Expected Value and Variance of the Reciprocal and Other Negative Powers of a Positive Bernoullian Variate

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