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Statistical inference for the non-conforming rate of FGM Copula-Based bivariate exponential lifetime | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 1 - شماره پیاپی 21، فروردین 2022، صفحه 1-27 اصل مقاله (727.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.17947.1156 | ||
| نویسندگان | ||
| Zainab Abbasi Ganji* 1؛ Bahram Sadeghpour Gildeh2؛ Mohammad Amini3؛ Afshin Babaei4 | ||
| 1Khorasan Razavi Agricultural and Natural Resources Research and Education Center, AREEO, Mashhad, Iran | ||
| 2Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 3Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 4Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Lifetime performance index؛ Farlie-Gumbel-Morgenstern copula؛ Non-conforming rate؛ Bootstrap upper confidence bound؛ Monte Carlo procedure | ||
| مراجع | ||
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