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Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

Author

Listed:
  • Al-Nasser Amjad D.

    (Department of Statistics, Science Faculty, Yarmouk University, Irbid, Jordan & Vice President for Academic Affairs, Al Falah University, Dubai, Arab Emirates)

  • Ahsan ul Haq Muhammad

    (Quality Enhancement Cell, National College of Arts, Lahore-Pakistan. College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan)

Abstract

In this research, a new acceptance sampling plan for a truncated life test is presented, assuming that the quality characteristic follows the power Lomax distribution. The operating characteristic function values are calculated for the proposed sampling plan, jointly with the optimal sample size and the producer’s risk for a selection of distribution parameters. Furthermore, a comparative study with other sampling plans is introduced to demonstrate the advantages of the proposed plan. Finally, a real-life example illustrating the applicability of the proposed sampling plan in a manufacturing company is discussed.

Suggested Citation

  • Al-Nasser Amjad D. & Ahsan ul Haq Muhammad, 2021. "Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 1-13, September.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:3:p:1-13:n:6
    DOI: 10.21307/stattrans-2021-024
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    1. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima & Haq Muhammad A., 2017. "On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 37-47, June.
    2. Amer Al-Omari, 2018. "Improved acceptance sampling plans based on truncated life tests for Garima distribution," 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. 9(6), pages 1287-1293, December.
    3. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima Salem, 2016. "Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 93-99, December.
    4. Amjad D. Al-Nasser & Mohammed Obeidat, 2020. "Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 47(4), pages 685-697, March.
    5. Amjad D. Al-Nasser & Amer I. Al-Omari & Ahmed Bani-Mustafa & Khalifa Jaber, 2018. "Developing Single-Acceptance Sampling Plans Based On A Truncated Lifetime Test For An Ishita Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(3), pages 393-406, September.
    6. R. R. L. Kantam & K. Rosaiah & G. Srinivasa Rao, 2001. "Acceptance sampling based on life tests: Log-logistic model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 121-128.
    7. D. Malathi & S. Muthulakshmi, 2017. "Economic design of acceptance sampling plans for truncated life test using Frechet distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(2), pages 376-384, January.
    Full references (including those not matched with items on IDEAS)

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