Approximation of inverse moments of discrete distributions
For a wide class of discrete distributions, we derive a representation of the inverse (negative) moments through the Stirling numbers of the first kind and inverse factorial moments. We specialize the results for the Poisson, binomial, hypergeometric and negative binomial distributions.
Year of publication: |
2014
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Authors: | Phillips, T.R.L. ; Zhigljavsky, A. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 94.2014, C, p. 135-143
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Publisher: |
Elsevier |
Subject: | Discrete distribution | Inverse moments | Stirling numbers of the first kind | Hypergeometric distribution | Negative binomial distribution |
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