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Counts of Bernoulli success strings in a multivariate framework

Author

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  • Aoudia, Djilali Ait
  • Marchand, Éric
  • Perron, François

Abstract

Distributional results are obtained for runs of length 2 in Bernoulli arrays Xk,j with multinomial distributed rows. These include a multivariate Poisson mixture representation with Dirichlet mixing for the joint distribution of the number of runs in each column.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:1-10
    DOI: 10.1016/j.spl.2016.07.009
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    References listed on IDEAS

    as
    1. Castañer, A. & Claramunt, M.M. & Lefèvre, C. & Loisel, S., 2015. "Discrete Schur-constant models," Journal of Multivariate Analysis, Elsevier, vol. 140(C), pages 343-362.
    2. 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.
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    Cited by:

    1. 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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