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A new Markov Binomial distribution


  • Minkova, Leda D.

    () (Faculty of Mathematics and Informatics Sofia University "St. Kl. Ohridski")

  • Omey, Edward

    () (Hogeschool-Universiteit Brussel (HUB), Belgium)


In this paper, we introduce a two state homogeneous Markov chain and define a geometric distribution related to this Markov chain. We define also the negative binomial distribution similar to the classical case and call it NB related to interrupted Markov chain. The new binomial distribution is related to the interrupted Markov chain. Some characterization properties of the Geometric distributions are given. Recursion formulas and probability mass functions for the NB distribution and the new binomial distribution are derived.

Suggested Citation

  • Minkova, Leda D. & Omey, Edward, 2011. "A new Markov Binomial distribution," Working Papers 2011/24, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  • Handle: RePEc:hub:wpecon:201124

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    References listed on IDEAS

    1. Yu, Chang & Zelterman, Daniel, 2002. "Sums of dependent Bernoulli random variables and disease clustering," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 363-373, May.
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