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Publication Index: ScopusSubject: Exchangeable random variables

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    Book Part
    Discrete Scan Statistics Generated by Dependent Trials and Their Applications in Reliability
    (Springer New York, 2024) Eryilmaz,S.; Yalcin,F.
    The chapter is concerned with discrete scan statistic based on a sequence of dependent binary trials. In particular, the existing results are reviewed for the distribution of the discrete scan statistic based on a sequence of exchangeable binary trials. The results are discussed in the context of the reliability of the linear consecutive-k-within-m-out-of-n:F system, and a new exact formula for the reliability of the linear consecutive-2-within-m-out-of-n:F system that consists of arbitrarily dependent components is presented. © Springer Science+Business Media, LLC, part of Springer Nature 2024.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    On the Sums of Distributions of Order Statistics From Exchangeable Random Variables
    (Elsevier Science Bv, 2013) Eryilmaz, Serkan
    In this paper, we obtain an expression between the sums of the marginal distributions of the order statistics and the common marginal distribution of an exchangeable random sequence. We also derive an expression between the sums of the joint distribution of two order statistics and the two dimensional joint distribution of an exchangeable random sequence. (C) 2013 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Order Statistics of Dependent Sequences Consisting of Two Different Sets of Exchangeable Variables
    (Elsevier Science Bv, 2015) Bayramoglu (Bairamov), Ismihan; Eryilmaz, Serkan
    We consider two different sets of exchangeable samples which are assumed to be dependent. A single set of observations is obtained from these two dependent samples. The distribution of single order statistic, and the joint distribution of the minimum and an arbitrary order statistic are derived. The results are illustrated in the context of reliability problem. (C) 2015 Elsevier B.V. All rights reserved.