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EXTENDED SHANKER DISTRIBUTION WITH ACCEPTANCE SAMPLING PLANS BASED ON TRUNCATED LIFE TESTS AND REAL DATA APPLICATIONS
Keywords:
extended Shanker distribution, reliability, acceptance sampling plan, producer’s risk, consumer’s risk, truncated lifetime test, operating characteristic function.DOI:
https://doi.org/10.17654/0972361722055Abstract
In this article, a new lifetime distribution is suggested and investigated in acceptance sampling plan (ASP) based on truncated life tests. The model is called extended Shanker distribution (ESD) which is the sum of two independent Shanker distributed random variables. Certain statistical properties of the ESD are derived including reliability analysis. The operating characteristic function, minimal sample size, and producer’s risk tables are obtained. Furthermore, a numerical example is offered to show the advantage of the new ASP. Finally, the reasons of the suggested model as well as the respective ASP are supported through a real dataset of 20 components of failure times.
Received: May 5, 2022
Accepted: June 17, 2022
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