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Citation - WoS: 8
Citation - Scopus: 11
Joint Distribution of Run Statistics in Partially Exchangeable Processes
(Elsevier Science Bv, 2011) Eryilmaz, Serkan
Let {X-i}(i >= 1) be an infinite sequence of recurrent partially exchangeable random variables with two possible outcomes as either "1" (success) or "0" (failure). In this paper we obtain the joint distribution of success and failure run statistics in {X-i}(i >= 1). The results can be used to obtain the joint distribution of runs in ordinary Markov chains, exchangeable and independent sequences. (C) 2010 Elsevier B.V. All rights reserved.
Citation - Scopus: 5
Component Importance in Coherent Systems With Exchangeable Components
(Applied Probability Trust, 2015) Eryilmaz,S.
This paper is concerned with the Birnbaum importance measure of a component in a binary coherent system. A representation for the Birnbaum importance of a component is obtained when the system consists of exchangeable dependent components. The results are closely related to the concept of the signature of a coherent system. Some examples are presented to illustrate the results. © 2015 Applied Probability Trust.