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Some recursive formulas related to inverse moments of the random variables with binomial-type distributions

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  • Zhao, Feng-Zhen

Abstract

This paper considers the inverse moments of the random variables with binomial-type distributions. We first derive some recursive formulas related to the inverse moments of the random variables with binomial and negative binomial distributions. Then we investigate the inverse moments of the random variables with maximum negative binomial distributions by using the recursive formula related to the negative binomial distribution. We further obtain some similar results for the generalized binomial and negative binomial distributions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1290-1296
    DOI: 10.1016/j.spl.2012.03.026
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    1. Ramsay, Colin M., 1993. "A Note on Random Survivorship Group Benefits," ASTIN Bulletin, Cambridge University Press, vol. 23(1), pages 149-156, May.
    2. 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.
    3. Pittenger, A. O., 1990. "Sharp mean-variance bounds for Jensen-type inequalities," Statistics & Probability Letters, Elsevier, vol. 10(2), pages 91-94, July.
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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.

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