Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Inverse Gamma Distribution

Authors

  • Mohammad Al-Talib
  • Mohammad Al Kadiri
  • Abedel-Qader Al-Masri

Keywords:

Marshall-Olkin Inverse Gamma Distribution, Acceptance Sampling Plan, Probability of Acceptance, Consumer’s Risk, Producer’s Risk, Truncated Life Test.

Abstract

An acceptance sampling plans (AS) for a truncated life test is developed, when the lifetime follows the Marshall-Olkin Inverse Gamma distribution (MOIG). The minimum sample size necessary to ensure the specified mean life is obtained. Additionally, the operating characteristic function values of the proposed sampling plans and producer’s risk are provided. Using the proposed model, some
tables are given and the results are illustrated by numerical examples. Finally, Numerical examples for our proposed method are illustrated as well as a real life application is demonstrated.

Key words and phrases. Marshall-Olkin Inverse Gamma Distribution, Acceptance Sampling Plan, Probability of Acceptance, Consumer’s Risk, Producer’s Risk, Truncated Life Test.

2000 Mathematics Subject Classification. 62D05 , 62N05

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Published

2025-05-18

How to Cite

Mohammad Al-Talib, Mohammad Al Kadiri, & Abedel-Qader Al-Masri. (2025). Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Inverse Gamma Distribution. Jordan Journal of Mathematics and Statistics, 13(3), 421–438. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/894

Issue

Vol. 13 No. 3 (2020)

Section

Articles