A Novel G Family for Single Acceptance Sampling Plan with Application in Quality and Risk Decisions

Basma Ahmed (), M. Masoom Ali () and Haitham M. Yousof ()
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Basma Ahmed: Higher Institute for Specific Studies
M. Masoom Ali: Ball State University
Haitham M. Yousof: Benha University

Annals of Data Science, 2024, vol. 11, issue 1, No 8, 199 pages

Abstract: Abstract In this paper we present a new G family of probability distributions. Some of its mathematical properties are derived. Based on a special member of the new family, a single acceptance sampling plan is considered. The issue of a single sample plan when the lifetime test is truncated at a pre-determined period is discussed. For certain different acceptance levels, confidence limits and values ratio of time and the sample size is desired to assure the estimated fixed mean life. The results of lowest ratio of actual mean life to fixed mean life that confirms acceptance with a given probability are presented. A case study is presented for this purpose.

Keywords: Single acceptance sampling plan; Quality control; Risk decisions; Geometric family (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-022-00451-3

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