On Bivariate Compound Sums

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2020

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Elsevier

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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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The study of compound sums have always been very popular in the literature. Many models in insurance and engineering have been represented and solved by compound sums. In this paper, two different bivariate compound sums are proposed and studied. The phase-type distribution is applied to obtain the probability generating function of the bivariate sum. (C) 2019 Elsevier B.V. All rights reserved.

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Tank, Fatih/0000-0003-3758-396X; tank, fatih/0000-0003-3758-396X; Eryilmaz, Serkan/0000-0002-2108-1781
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Tank, Fatih ORCID logo
tank, fatih ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

Bivariate distribution, Compound sum, Phase type distribution

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365

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https://doi.org/10.1016/j.cam.2019.112371
 https://hdl.handle.net/20.500.14411/3428

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