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On a Simple Construction of a Bivariate Probability Function With a Common Marginal

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  • Djilali Ait Aoudia
  • Éric Marchand

Abstract

We introduce a family of bivariate discrete distributions whose members are generated by a decreasing mass function p , and with margins given by p . Several properties and examples are obtained, including a family of seemingly novel bivariate Poisson distributions.

Suggested Citation

  • Djilali Ait Aoudia & Éric Marchand, 2014. "On a Simple Construction of a Bivariate Probability Function With a Common Marginal," The American Statistician, Taylor & Francis Journals, vol. 68(3), pages 170-173, February.
    • Handle: RePEc:taf:amstat:v:68:y:2014:i:3:p:170-173
    DOI: 10.1080/00031305.2014.904250
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    Cited by:

    1. Aoudia, Djilali Ait & Marchand, Éric & Perron, François, 2016. "Counts of Bernoulli success strings in a multivariate framework," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 1-10.
    2. Jones, M.C. & Marchand, Éric, 2019. "Multivariate discrete distributions via sums and shares," Journal of Multivariate Analysis, Elsevier, vol. 171(C), pages 83-93.

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