Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients

This study examines group acceptance sampling plans for many items evaluated together, with the product lifetime following the extended odd Weibull exponential (EOWEx) distribution. Significant design parameters are derived when the consumer risk and the test termination period have been established...

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Main Author: Rehab Alsultan
Format: Article
Language:English
Published: AIP Publishing LLC 2024-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0187498
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author Rehab Alsultan
author_facet Rehab Alsultan
author_sort Rehab Alsultan
collection DOAJ
description This study examines group acceptance sampling plans for many items evaluated together, with the product lifetime following the extended odd Weibull exponential (EOWEx) distribution. Significant design parameters are derived when the consumer risk and the test termination period have been established. Different quality levels are used to define the values of the operational characteristic function. The minimum ratios of the specified average life to the real average life are also computed at the risk of the designated producer. The results of this study provide a foundation for future research on a wide variety of situations at the micro-quality level, where the items follow varied probability distributions under the extended odd Weibull exponential scheme. The mortality rate of COVID-19 patients in the UK is used to display the group acceptance sampling plan for the EOWEx distribution. The performance of the presented sampling plan is compared to the ordinary sampling plan when the quality of the product follows the EOWEx distribution.
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spelling doaj.art-205501a70cce45178bfd39b1e5ef64702024-02-02T16:46:07ZengAIP Publishing LLCAIP Advances2158-32262024-01-01141015306015306-910.1063/5.0187498Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patientsRehab Alsultan0Department of Mathematical Science, Faculty of Applied Science, Umm AL-Qura University, Makkah 24382, Saudi ArabiaThis study examines group acceptance sampling plans for many items evaluated together, with the product lifetime following the extended odd Weibull exponential (EOWEx) distribution. Significant design parameters are derived when the consumer risk and the test termination period have been established. Different quality levels are used to define the values of the operational characteristic function. The minimum ratios of the specified average life to the real average life are also computed at the risk of the designated producer. The results of this study provide a foundation for future research on a wide variety of situations at the micro-quality level, where the items follow varied probability distributions under the extended odd Weibull exponential scheme. The mortality rate of COVID-19 patients in the UK is used to display the group acceptance sampling plan for the EOWEx distribution. The performance of the presented sampling plan is compared to the ordinary sampling plan when the quality of the product follows the EOWEx distribution.http://dx.doi.org/10.1063/5.0187498
spellingShingle Rehab Alsultan
Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
AIP Advances
title Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
title_full Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
title_fullStr Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
title_full_unstemmed Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
title_short Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients
title_sort group acceptance sampling plan based on truncated life tests using extended odd weibull exponential distribution with application to the mortality rate of covid 19 patients
url http://dx.doi.org/10.1063/5.0187498
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