Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application

Authors

DOI:

https://doi.org/10.31181/dmame05012023a

Keywords:

Zeghdοudi distribution; Acceptance sampling plan; Consumer's risk; Truncated lifetime test; characteristic function; Producer's risk Operating.

Abstract

The acceptance sampling plan (ASP) is one of the key statistics resources in the industrial sector. It entails the decision-making process for accepting or rejecting the products. The investigated quality parameter is the test unit's mean lifespan. This study develops a new ASP for Zeghdοudi distribution (ZD) when the lifetime is shortened to a specific degree. The optimal plan parameters are accomplished by obtaining the minimum sample size mandatory to ensure the identified mean lifetime for fixing the consumer's risk. Besides, the characteristic operating function (OCF) values for the ASP are displayed, and the producer's risk is determined. Several helpful tables are developed for the suggested ASP based on the ZD for suitable employment. An actual data set is fitted to the Zeghdoudi model and other models to examine the applicability of the suggested ASP in the production sector.

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Author Biography

Rehab AlSultan, Department of Mathematics, Umm-Al-Qura University, Makkah 24227, Saudi Arabia

Department of Mathematics, Umm-Al-Qura University, Makkah

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Published

2023-04-08

How to Cite

AlSultan, R., & Al-Omari, A. (2023). Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application. Decision Making: Applications in Management and Engineering, 6(1), 432–448. https://doi.org/10.31181/dmame05012023a