Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

Amjad D. Al-Nasser; Muhammad Ahsan ul Haq

doi:10.21307/stattrans-2021-024

Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

Amjad D. Al-Nasser Department of Statistics, Science Faculty, Yarmouk University, Irbid, Jordan & Vice President for Academic Affairs, Al Falah University, Dubai, United Arab Emirates ORCID:http://orcid.org/0000-0001-7515-2357 , Muhammad Ahsan ul Haq Quality Enhancement Cell, National College of Arts, Lahore-Pakistan. College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan ORCID:http://orcid.org/ 0000-0002-0902-8080 Statistics in Transition new series, vol. 22, 2021, 3, pages: 1–13 Published online: 6 September 2021 DOI 10.21307/stattrans-2021-024

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ABSTRACT

In this research, a new acceptance sampling plan for a truncated life test is presented, assuming that the quality characteristic follows the power Lomax distribution. The operating characteristic function values are calculated for the proposed sampling plan, jointly with the optimal sample size and the producer’s risk for a selection of distribution parameters. Furthermore, a comparative study with other sampling plans is introduced to demonstrate the advantages of the proposed plan. Finally, a real-life example illustrating the applicability of the proposed sampling plan in a manufacturing company is discussed.

KEYWORDS

acceptance sampling plan, operating characteristic, power Lomax distribution, industry, data analysis

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