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Conference Object Citation - WoS: 9Citation - Scopus: 12Stochastic Comparisons Between Lifetimes of Reliability Systems With Exchangeable Components(Springer, 2016) Koutras, Markos V.; Triantafyllou, Ioannis S.; Eryilmaz, SerkanIn this article we present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.Editorial Special Issue: International Workshop in Applied Probability 2014(Springer, 2016) Eryilmaz, S.; Koutras, Markos V.[No Abstract Available]Article Citation - WoS: 14Citation - Scopus: 17Compound Geometric Distribution of Order k(Springer, 2017) Koutras, Markos V.; Eryilmaz, SerkanThe distribution of the number of trials until the first k consecutive successes in a sequence of Bernoulli trials with success probability p is known as geometric distribution of order k. Let T (k) be a random variable that follows a geometric distribution of order k, and Y (1),Y (2),aEuro broken vertical bar a sequence of independent and identically distributed discrete random variables which are independent of T (k) . In the present article we develop some results on the distribution of the compound random variable Y-t.
