Some New Characterizations of Markov-Bernoulli Geometric Distribution Related to Random Sums

M. Gharib, M. M. Ramadan, Kh. A. H. Al-Ajmi

Abstract


The Markov-Bernoulli geometric distribution is obtained when a generalization, as a Markov process, of the independent Bernoulli sequence of random variables, is introduced. In this paper, new characterizations of the Markov-Bernoulli geometric distribution, as the distribution of the summation index of randomly truncated non-negative integer valued random variables, are given in terms of moment relations of the sum and summands. The achieved results generalize the corresponding characterizations concerning the usual geometric distribution.


Full Text: PDF DOI: 10.5539/ijsp.v3n3p138

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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