Developed acceptance sampling plans for the Shanker distribution based on truncated life tests

Amer Ibrahim Al-Omari^1,*, and Rehab Alsultan²

¹Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

²Mathematics Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia

Emails: alomari_amer@yahoo.com; rasultan@uqu.edu.sa

Abstract

This paper introduces new acceptance sampling plans for situations where the life test is terminated at a predetermined time. The minimum sample sizes needed to guarantee a specified average lifetime are determined for different acceptance numbers, confidence levels, and ratios of the fixed test duration to the defined average lifetime. The Shanker distribution is adopted to represent the lifetimes of test units, with its mean serving as the quality indicator. Furthermore, the operating characteristic function values for the proposed sampling plans, along with the associated producer's risk, are provided. Examples are included to demonstrate how to use the tables effectively. An application of a real data set is used to illustrate the usefulness of the suggested acceptance sampling plans.

Keywords: Shanker distribution; Acceptance sampling plans; Neutrosophic statistical interval method ; Operating characteristic function; Producer's risk; Consumer's risk; Truncated life tests