Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520140167-71521879-210310.1016/j.spl.2014.05.0062-s2.0-84901377472https://doi.org/10.1016/j.spl.2014.05.006https://hdl.handle.net/20.500.14411/153Eryilmaz, Serkan/0000-0002-2108-1781In this paper, we introduce and study geometric distribution of order k with a reward. In a sequence of binary trials, suppose that each time a success occurs a random reward is received. The distribution of the number of trials until the sum of consecutive rewards is equal to or exceeds the level k is called geometric distribution of order k with a reward. We obtain expressions for the probability mass function of this distribution. (C) 2014 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessDiscrete phase-type distributionGeometric distribution of order kWaiting timeArticleQ4925358WOS:00034031320000811