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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Format: | Article |
Language: | English |
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AIP Publishing LLC
2024-01-01
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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. |
first_indexed | 2024-03-08T07:42:42Z |
format | Article |
id | doaj.art-205501a70cce45178bfd39b1e5ef6470 |
institution | Directory Open Access Journal |
issn | 2158-3226 |
language | English |
last_indexed | 2024-03-08T07:42:42Z |
publishDate | 2024-01-01 |
publisher | AIP Publishing LLC |
record_format | Article |
series | AIP Advances |
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 |
work_keys_str_mv | AT rehabalsultan groupacceptancesamplingplanbasedontruncatedlifetestsusingextendedoddweibullexponentialdistributionwithapplicationtothemortalityrateofcovid19patients |