<i>q</i>-geometric and <i>q</i>-binomial distributions of order <i>k</i>
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Abstract
In 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.
Description
Yalcin, Femin/0000-0003-0602-9392; Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
Distributions of order k, q-distributions, Runs
Turkish CoHE Thesis Center URL
Citation
12
WoS Q
Q1
Scopus Q
Source
Volume
271
Issue
Start Page
31
End Page
38