Yalcin, FeminEryılmaz, Serkan2023-06-162023-06-1620140377-04271879-1778https://doi.org/10.1016/j.cam.2014.03.025https://hdl.handle.net/20.500.14365/1101In 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.eninfo:eu-repo/semantics/openAccessDistributions of order kq-distributionsRunsMarkov Dependent TrialsSuccess RunsBinary SequencesLength-KParametersFormulasStringsModelArticle10.1016/j.cam.2014.03.0252-s2.0-84899440309