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Acceptance Sampling Based on the Inverse Rayleigh Distribution

Author

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  • Rosaiah K.
  • Kantam R. R. L.

    (Department of Statistics, Acharya Nagarjuna University, Nagarjunanagar - 522 510 (A.P.), India)

Abstract

The well known inverse Rayleigh distribution is considered as a model for a life time random variable. The problem of acceptance sampling when the life test is truncated at a pre-assigned time is discussed. For various acceptance numbers, various confidence levels and various values of the ratio of the fixed experimental time to the specified mean life, the minimum sample size necessary to assure a specified mean life time is worked out. The operating characteristic functions of the sampling plans are obtained. Producer's risk is also discussed. A table for the ratio of the true mean life to a specified mean life that ensures acceptance with a pre-assigned probability is provided. The results are illustrated by an example.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:20:y:2005:i:2:p:277-286:n:11
    DOI: 10.1515/EQC.2005.277
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    References listed on IDEAS

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    1. 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. Jose K. K. & Sivadas Remya, 2015. "Negative Binomial Marshall–Olkin Rayleigh Distribution and Its Applications," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 89-98, December.
    2. Jose K. K. & Tomy Lishamol & Thomas Sophia P., 2018. "On a Generalization of the Weibull Distribution and Its Application in Quality Control," Stochastics and Quality Control, De Gruyter, vol. 33(2), pages 113-124, December.
    3. Al-Omari Amer I., 2016. "Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 85-91, December.
    4. Rao G. Srinivasa & Kantam R. R. L., 2010. "Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 153-167, January.
    5. Rosaiah K. & Kantam R. R. L. & Kumar Santosh, 2006. "Reliability Test Plans for Exponentiated Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 279-289, January.
    6. Jose K. K. & Joseph Jeena, 2018. "Reliability Test Plan for the Gumbel-Uniform Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 71-81, June.
    7. Jose K. K. & Paul Albin, 2018. "Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 61-70, June.
    8. 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.
    9. 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.
    10. 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.
    11. Harsh Tripathi & Mahendra Saha & Vishal Alha, 2022. "An Application of Time Truncated Single Acceptance Sampling Inspection Plan Based on Generalized Half-Normal Distribution," Annals of Data Science, Springer, vol. 9(6), pages 1243-1255, December.
    12. Muhammad Aslam & Chi-Hyuck Jun, 2010. "A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 405-414.
    13. Mughal Abdur Razzaque, 2011. "A Hybrid Economic Group Acceptance Sampling Plan for Exponential Lifetime Distribution," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 163-171, January.

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