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Article Citation - WoS: 1Citation - Scopus: 2On the First Time of Ruin in Two-Dimensional Discrete Time Risk Model With Dependent Claim Occurrences(Taylor & Francis inc, 2018) Eryilmaz, SerkanThis article is concerned with a two-dimensional discrete time risk model based on exchangeable dependent claim occurrences. In particular, we obtain a recursive expression for the finite time non ruin probability under such a dependence among claim occurrences. For an illustration, we define a bivariate compound beta-binomial risk model and present numerical results on this model by comparing the corresponding results of the bivariate compound binomial risk model.Article Citation - WoS: 8Citation - Scopus: 13Joint Reliability Importance in a Binary k-out-of- n: G System With Exchangeable Dependent Components(Nctu-national Chiao Tung Univ Press, 2014) Mahmoud, Boushaba; Eryilmaz, SerkanIn this paper, we study joint reliability importance (JRI) in a k -out-of- n : G structure consisting of exchangeable dependent coimponents. We obtain a closed-form formula for the JRI of multiple components of a k -out-of- n : G system with dependent components. We illustrate the results for the k -out-of- n: G model under stress-strength setup. The results extend and generalize the results in the literature from various perspectives including exchangeable type dependence for the JRI of two components.

