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Reliability Test Plan for the Gumbel-Uniform Distribution

Author

Listed:
  • Jose K. K.

    (Department of Statistics and Biostatistics, St. Thomas College, PalaiArunapuram 686574, India)

  • Joseph Jeena

    (Department of Statistics, St. Thomas’ College, Thrissur, 680001India)

Abstract
Reliability sampling plans are used for determining the acceptability of any product. In this paper, reliability sampling plans for acceptance or rejection of a lot of products submitted for inspection are developed when the lifetimes follow the Gumbel-uniform distribution. The sampling plan proposed here can save the test time in practical situations. Some tables are also provided for the new sampling plans so that this method can be used conveniently by practitioners. Operating characteristic values and minimum ratios of the true value and the required value of the parameter with a given producers risk with respect to the newly developed sampling plans are also presented. The new test plan is applied to ordered failure times of software release to illustrate its use in industrial contexts.

Suggested Citation

  • 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.
  • Handle: RePEc:bpj:ecqcon:v:33:y:2018:i:1:p:71-81:n:1
    DOI: 10.1515/eqc-2017-0011
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    References listed on IDEAS

    as
    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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.

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