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Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution

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  • Harsh Tripathi
  • Sanku Dey
  • Mahendra Saha

Abstract

This paper introduces a double and group acceptance sampling plans based on time truncated lifetimes when the lifetime of an item follows the inverse log-logistic (ILL) distribution with known shape parameter. The operating characteristic function and average sample number (ASN) values of the double acceptance sampling inspection plan are provided. The values of the minimum number of groups and operating characteristic function for various quality levels are obtained for a group acceptance sampling inspection plan. A comparative study between single acceptance sampling inspection plan and double acceptance sampling inspection plan is carried out in terms of sample size. One simulated example and four real-life examples are discussed to show the applicability of the proposed double and group acceptance sampling inspection plans for ILL distributed quality parameters.

Suggested Citation

  • Harsh Tripathi & Sanku Dey & Mahendra Saha, 2021. "Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(7), pages 1227-1242, May.
  • Handle: RePEc:taf:japsta:v:48:y:2021:i:7:p:1227-1242
    DOI: 10.1080/02664763.2020.1759031
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    Cited by:

    1. Yusra Tashkandy & Walid Emam & M. Masoom Ali & Haitham M. Yousof & Basma Ahmed, 2023. "Quality Control Testing with Experimental Practical Illustrations under the Modified Lindley Distribution Using Single, Double, and Multiple Acceptance Sampling Plans," Mathematics, MDPI, vol. 11(9), pages 1-28, May.
    2. Harsh Tripathi & Mahendra Saha & Sanku Dey, 2022. "A new approach of time truncated chain sampling inspection plan and its applications," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(5), pages 2307-2326, October.
    3. Mahendra Saha & Harsh Tripathi & Anju Devi & Pratibha Pareek, 2024. "Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic," Annals of Data Science, Springer, vol. 11(5), pages 1687-1703, October.

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