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Type II bivariate Pólya–Aeppli distribution

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  • Minkova, Leda D.
  • Balakrishnan, N.

Abstract

In this paper, we introduce the Type II bivariate Pólya–Aeppli distribution as a compound Poisson distribution with bivariate geometric compounding distribution. The probability mass function, recursion formulas, conditional distributions and some other properties are then derived for this distribution.

Suggested Citation

  • Minkova, Leda D. & Balakrishnan, N., 2014. "Type II bivariate Pólya–Aeppli distribution," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 40-49.
    • Handle: RePEc:eee:stapro:v:88:y:2014:i:c:p:40-49
    DOI: 10.1016/j.spl.2014.01.027
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    References listed on IDEAS

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    1. P. Lee & S. Ong, 1986. "The bivariate non-central negative binomial distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 33(1), pages 1-28, December.
    2. Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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    Cited by:

    1. Sellers, Kimberly F. & Morris, Darcy Steeg & Balakrishnan, Narayanaswamy, 2016. "Bivariate Conway–Maxwell–Poisson distribution: Formulation, properties, and inference," Journal of Multivariate Analysis, Elsevier, vol. 150(C), pages 152-168.
    2. Kokonendji, Célestin C. & Puig, Pedro, 2018. "Fisher dispersion index for multivariate count distributions: A review and a new proposal," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 180-193.

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