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Asymptotic expansions for inverse moments of binomial and negative binomial

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  • Wuyungaowa
  • Wang, Tianming

Abstract

In this paper, we give asymptotic expansions for the rth inverse moments of positive binomial and negative binomial distributions in terms of the analytic poissonization and depoissonization method.

Suggested Citation

  • Wuyungaowa & Wang, Tianming, 2008. "Asymptotic expansions for inverse moments of binomial and negative binomial," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 3018-3022, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:17:p:3018-3022
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    References listed on IDEAS

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    1. Jones, C. Matthew & Zhigljavsky, Anatoly A., 2004. "Approximating the negative moments of the Poisson distribution," Statistics & Probability Letters, Elsevier, vol. 66(2), pages 171-181, January.
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    Cited by:

    1. D. S. Shibu & M. R. Irshad & S. Nadarajah, 2023. "An Integral Representation for Inverse Moments," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(2), pages 1394-1402, August.
    2. Phillips, T.R.L. & Zhigljavsky, A., 2014. "Approximation of inverse moments of discrete distributions," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 135-143.
    3. Zhao, Feng-Zhen, 2012. "Some recursive formulas related to inverse moments of the random variables with binomial-type distributions," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1290-1296.

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    2. Phillips, T.R.L. & Zhigljavsky, A., 2014. "Approximation of inverse moments of discrete distributions," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 135-143.

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