Stochastic Ordering Among Success Runs Statistics in a Sequence of Exchangeable Binary Trials

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Date

2018

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Springer

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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

A new scheme-distribution-based representation is presented for the cumulative distribution function of the number of success runs of length k in a sequence of exchangeable binary trials. By utilizing this new representation, some stochastic ordering results are obtained to compare success runs. The results are illustrated for beta-binomial distributions of order k.

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Eryilmaz, Serkan/0000-0002-2108-1781
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Eryilmaz, Serkan ORCID logo

Keywords

Binomial distribution of order k, Exchangeable binary random variables, Stochastic ordering, Success runs

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Q4

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Q3

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Volume

20

Issue

2

Start Page

563

End Page

573

URI

https://doi.org/10.1007/s11009-017-9576-1
 https://hdl.handle.net/20.500.14411/2715

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