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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
Statistical inference for the non-conforming rate of FGM Copula-Based bivariate exponential lifetime
Type
JournalPaper
Keywords
Lifetime performance index, Farlie-Gumbel-Morgenstern copula, Non-conforming rate, Bootstrap upper confidence bound, Monte Carlo procedure.
Year
2022
Journal journal of mahani mathematical research center
DOI
Researchers Zeinab Abbasi Ganji ، Bahram Sadeghpour Gildeh ، Mohammad Amini ، Afshin Babaei

Abstract

Lifetime performance index is widely used as process capability index to evaluate the performance and potential of a process. In manufacturing industries, the lifetime of a product is considered to be conforming if it exceeds a given lower threshold value, so nonconforming products are those that fail to exceed this value. Nonconformities are so important that affect the safe or effective use of the products. This article deals with the processes that the products’ lifetime is related to a two-component system, distributed as Farlie-Gumbel-Morgenstern (FGM) copula-based bivariate exponential and presents the probability of non-conforming products. Also, bootstrap upper confidence bounds are constructed and their performance are investigated in simulation study. In addition, Monte Carlo scheme is applied to do hypothesis testing on it. Finally, two example sets are presented to demonstrate the application of the proposed index.