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https://hdl.handle.net/20.500.14365/1101| Title: | q-geometric and q-binomial distributions of order k | Authors: | Yalcin, Femin Eryılmaz, Serkan |
Keywords: | Distributions of order k q-distributions Runs Markov Dependent Trials Success Runs Binary Sequences Length-K Parameters Formulas Strings Model |
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. | URI: | https://doi.org/10.1016/j.cam.2014.03.025 https://hdl.handle.net/20.500.14365/1101 |
ISSN: | 0377-0427 1879-1778 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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