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Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic

Author

Listed:
  • Mahendra Saha

    (Central University of Rajasthan)

  • Harsh Tripathi

    (MIT-ADT University)

  • Anju Devi

    (Central University of Rajasthan)

  • Pratibha Pareek

    (Central University of Rajasthan)

Abstract

In this article, a reliability test plan under time truncated life test is considered for the logistic Rayleigh distribution ( $$\mathcal {LRD}$$ LRD ). A brief discussion over statistical properties and significance of the $$\mathcal {LRD}$$ LRD is placed in this present study. Larger the value of median—better is the quality of the lot is considered as quality characteristic for the proposed reliability test plan. Minimum sample sizes are placed in tabular form for different set up of specified consumer’s risk. Also operating characteristics ( $$\mathcal{O}\mathcal{C}$$ O C ) values are shown in tabular forms for the chosen set up and discussed the pattern of $$\mathcal{O}\mathcal{C}$$ O C values. A comparative analysis of the present study with some other reliability test plans is discussed based on the sample sizes. As an illustration, the performance of the proposed plan for the $$\mathcal {LRD}$$ LRD is shown through real-life examples.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aodasc:v:11:y:2024:i:5:d:10.1007_s40745-023-00473-5
    DOI: 10.1007/s40745-023-00473-5
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    References listed on IDEAS

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    1. 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.
    2. Muhammad Aslam & Debasis Kundu & Munir Ahmad, 2010. "Time truncated acceptance sampling plans for generalized exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 555-566.
    3. Haitham M. Yousof & Mustafa Ç. Korkmaz & Subhradev Sen, 2021. "A New Two-Parameter Lifetime Model," Annals of Data Science, Springer, vol. 8(1), pages 91-106, March.
    4. 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.
    5. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    6. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
    7. Mahendra Saha & Harsh Tripathi & Sanku Dey & Sudhansu S. Maiti, 2021. "Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics," 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. 12(6), pages 1410-1419, December.
    8. Ayman Baklizi & Abed El Qader El Masri, 2004. "Acceptance Sampling Based on Truncated Life Tests in the Birnbaum Saunders Model," Risk Analysis, John Wiley & Sons, vol. 24(6), pages 1453-1457, December.
    9. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
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