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On Integral Representations Involving the Probability Generating Function for Inverse Moments of Positive Discrete Random Variables

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  • M. C. Jones

    (The Open University)

Abstract

I simplify and note extensions of results of Shibu et al. Sankhy $$\overline{a}$$ a ¯ , Ser. A 85 (2023a,b) concerning integral representations involving the probability generating function for inverse moments of positive discrete random variables, both univariate and multivariate.

Suggested Citation

  • M. C. Jones, 2024. "On Integral Representations Involving the Probability Generating Function for Inverse Moments of Positive Discrete Random Variables," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 992-998, August.
    • Handle: RePEc:spr:sankha:v:86:y:2024:i:2:d:10.1007_s13171-024-00360-y
    DOI: 10.1007/s13171-024-00360-y
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    References listed on IDEAS

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    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. Jones, M. C., 1987. "Inverse factorial moments," Statistics & Probability Letters, Elsevier, vol. 6(1), pages 37-42, September.
    3. Alessandro Barbiero, 2019. "A bivariate geometric distribution allowing for positive or negative correlation," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(11), pages 2842-2861, June.
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