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Article Citation - WoS: 12Citation - Scopus: 11On an Application of Concomitants of Order Statistics(Taylor & Francis inc, 2016) Eryilmaz, SerkanLet (X-i, Y-i), i = 1, ..., n be a pair where the first coordinate X-i represents the lifetime of a component, and the second coordinate Y-i denotes the utility of the component during its lifetime. Then the random variable Y-[r: n] which is known to be the concomitant of the rth order statistic defines the utility of the component which has the rth smallest lifetime. In this paper, we present a dynamic analysis for an n component system under the above-mentioned concomitant setup.Article Citation - WoS: 34Citation - Scopus: 30Reliability Evaluation for a Multi-State System Under Stress-Strength Setup(Taylor & Francis inc, 2011) Eryilmaz, Serkan; Iscioglu, FundaThe two most commonly used reliability models in engineering applications are binary k-out-of-n:G and consecutive k-out-of-n:G systems. Multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G systems have been proposed as an extension of these systems and they have been found to be more flexible tool for modeling engineering systems. In this article, multi-state systems, in particular, multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G, are considered in a stress-strength setup. The states of the system are classified considering the number of components whose strengths above (below) the multiple stresses available in an environment. The exact state probabilities are provided and the results are illustrated for various stress-strength distributions. Maximum likelihood estimators of state probabilities are also presented.
