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Citation - WoS: 1
Citation - Scopus: 2
On Bivariate Compound Sums
(Elsevier, 2020) Tank, Fatih; Eryilmaz, Serkan
The study of compound sums have always been very popular in the literature. Many models in insurance and engineering have been represented and solved by compound sums. In this paper, two different bivariate compound sums are proposed and studied. The phase-type distribution is applied to obtain the probability generating function of the bivariate sum. (C) 2019 Elsevier B.V. All rights reserved.
Citation - WoS: 12
Citation - Scopus: 11
On an Application of Concomitants of Order Statistics
(Taylor & Francis inc, 2016) Eryilmaz, Serkan
Let (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.