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Article Citation - WoS: 13Citation - Scopus: 12q-geometric and q-binomial Distributions of Order k(Elsevier Science Bv, 2014) Yalcin, Femin; Eryilmaz, SerkanIn this paper, we generalize geometric and binomial distributions of order k to q-geometric and q-binomial distributions of order k using Bernoulli trials with a geometrically varying success probability. In particular, we derive expressions for the probability mass functions of these distributions. For q = 1, these distributions reduce to geometric and binomial distributions of order k which have been extensively studied in the literature. (C) 2014 Elsevier B.V. All rights reserved.
