Testing lifetime of the product using new distribution in group acceptance sampling plan

Mahdy, Mervat; Ahmed, Basma; Aslam, Muhammad

doi:10.47974/JSMS-1117

Open Access Research Article

Testing lifetime of the product using new distribution in group acceptance sampling plan

Mervat Mahdydrmervat.mahdy@fcom.bu.edu.egDepartment of Statistics, Mathematics and InsuranceCollege of CommerceBenha UniversityEgyptView full profile → , Basma Ahmeddr.basma13@gmail.comDepartment of Management Information SystemHigher Institute for Specific StudiesGiza, EgyptView full profile → , ^*Muhammad AslamCorresponding authoraslam_ravian@hotmail.comDepartment of StatisticsFaculty of ScienceKing Abdulaziz UniversityJeddah, 21551, Saudi ArabiaView full profile →

* Corresponding author · click or hover a name for details

pp. 911–929Vol. 27Issue 5July 2024DOI: 10.47974/JSMS-1117XML

Received:: 10 Aug 2022
Published Online:: 27 May 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1117
Pages:: 911–929

Abstract

In this article, we investigate three modern probability models for lifetime random variables: elicitation inverse Rayleigh (EIR), generalized inverse weibull (GIW) and Weighted generalized inverse Weibull (WGIW). A group of acceptance sampling plans for EIR, GIW and WGIW distributions are developed. This is when the life test is truncated at a predetermined time. When the acceptance limit and group size are specified, as well as the consumer’s risk and test termination time, the minimal number of groups required to claim that the median life exceeds a particular value a0 with the consumer’s confidence level is obtained. In addition, the probabilities of acceptance values of the provided plan for the specified three modern distributions are presented. Also obtain the minimal ratios of the veritable median life a to the required median life a0 for the lot acceptance with producer’s risk of 0.05. Some comparisons are made between the results for the ordinary sampling and group sampling plans.

Keywords

Group sampling plan Operating characteristic Truncated life test Producer’s risk Elicitation inverse Rayleigh Weighted generalized inverse Weibull Generalized inverse Weibull distributions

Subject Classifications

(2010) 62P30

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