Order statistics of dependent sequences consisting of two different sets of exchangeable variables

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2015

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Elsevier Science Bv

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Industrial Engineering
(1998)
Industrial Engineering is a field of engineering that develops and applies methods and techniques to design, implement, develop and improve systems comprising of humans, materials, machines, energy and funding. Our department was founded in 1998, and since then, has graduated hundreds of individuals who may compete nationally and internationally into professional life. Accredited by MÜDEK in 2014, our student-centered education continues. In addition to acquiring the knowledge necessary for every Industrial engineer, our students are able to gain professional experience in their desired fields of expertise with a wide array of elective courses, such as E-commerce and ERP, Reliability, Tabulation, or Industrial Engineering Applications in the Energy Sector. With dissertation projects fictionalized on solving real problems at real companies, our students gain experience in the sector, and a wide network of contacts. Our education is supported with ERASMUS programs. With the scientific studies of our competent academic staff published in internationally-renowned magazines, our department ranks with the bests among other universities. IESC, one of the most active student networks at our university, continues to organize extensive, and productive events every year.

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Abstract

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.

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Bayramoglu, Ismihan/0000-0002-8575-8405; Eryilmaz, Serkan/0000-0002-2108-1781
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Bayramoglu, Ismihan ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

Exact distribution, Exchangeable random variables, Order statistics

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6

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Volume

286

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1

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6

URI

https://doi.org/10.1016/j.cam.2015.02.045
 https://hdl.handle.net/20.500.14411/847

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