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Author: Koutras, Markos V.Subject: Compound distributions

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    Article
    Citation - WoS: 14
    Citation - Scopus: 17
    Compound Geometric Distribution of Order k
    (Springer, 2017) Koutras, Markos V.; Eryilmaz, Serkan
    The distribution of the number of trials until the first k consecutive successes in a sequence of Bernoulli trials with success probability p is known as geometric distribution of order k. Let T (k) be a random variable that follows a geometric distribution of order k, and Y (1),Y (2),aEuro broken vertical bar a sequence of independent and identically distributed discrete random variables which are independent of T (k) . In the present article we develop some results on the distribution of the compound random variable Y-t.