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On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan

Author

Listed:
  • Al-Omari Amer I.

    (Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan)

  • Al-Nasser Amjad D.

    (Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan)

  • Gogah Fatima

    (Department of Mathematics, Science Faculty, Hadhramout University, Mukalla, Yemen)

  • Haq Muhammad A.

    (College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan)

Abstract

A double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:32:y:2017:i:1:p:37-47:n:3
    DOI: 10.1515/eqc-2017-0007
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    References listed on IDEAS

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    1. Rosaiah K. & Kantam R. R. L., 2005. "Acceptance Sampling Based on the Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 277-286, January.
    2. 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.
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    Cited by:

    1. 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.
    2. 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, Statistics Poland, vol. 22(3), pages 1-13, September.

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