Communications for Statistical Applications and Methods

  • 제17권3호
  • /
  • Pages.319-326
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  • 2010
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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An Improved Group Sampling Plan Based on Time-Truncated Life Tests

  • 투고 : 20100200
  • 심사 : 20700300
  • 발행 : 2010.05.31
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초록

In this paper, a new group sampling plan for the lot acceptance is proposed for the time truncated life test, which can be utilized when multi-item testers are implemented. The design parameters are found using the two-point approach such that the producer's and consumer's risks are satisfied simultaneously at the acceptable reliability level and the lot tolerance reliability level, respectively. The case of Weibull distribution is described to illustrate the procedure that can be used when the quality level is expressed by a multiple of the specified life. The advantage of the proposed plan is demonstrated by comparing with the existing plan in terms of the sample size required. The tables are constructed and some examples are given to illustrate the procedure developed here.

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참고문헌

  1. Aslam, M. and Jun, C.-H. (2009a). Group acceptance sampling plans for truncated life tests based on the inverse Rayleigh distribution and log-logistic distribution, Pakistan Journal of Statistics, 25, 107-119.
  2. Aslam, M. and Jun, C.-H. (2009b). A group acceptance sampling plan for truncated life test having Weibull distribution, Journal of Applied Statistics, 36, 1021-1027. https://doi.org/10.1080/02664760802566788
  3. Balakrishnan, N., Leiva, V. and Lopez, J. (2007). Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution, Communications in Statistics-Simulation and Computation, 36, 643-656. https://doi.org/10.1080/03610910701207819
  4. Fertig, F.W. and Mann, N. R. (1980). Life-test sampling plans for two-parameterWeibull populations, Technometrics, 22, 165-177. https://doi.org/10.2307/1268455
  5. Goode, H. P. and Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution, Proceeding of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, 24-40.
  6. Gupta, S. S. (1962). Life test sampling plans for normal and lognormal distributions, Technometrics, 4, 151-175. https://doi.org/10.2307/1266616
  7. Gupta, S. S. and Groll, P. A. (1961). Gamma distribution in acceptance sampling based on life tests, Journal of the American Statistical Association, 56, 942-970. https://doi.org/10.2307/2282006
  8. Jun, C.-H., Balamurali, S. and Lee, S.-H. (2006). Variables sampling plans for Weibull distributed lifetimes under sudden death testing, IEEE Transactions on Reliability, 55, 53-58. https://doi.org/10.1109/TR.2005.863802
  9. Kantam, R. R. L., Rosaiah, K. and Rao, G. S. (2001). Acceptance sampling based on life tests: Log-logistic models, Journal of Applied Statistics, 28, 121-128. https://doi.org/10.1080/02664760120011644
  10. Tsai, T.-R. and Wu, S.-J. (2006). Acceptance sampling based on truncated life tests for generalized Rayleigh distribution, Journal of Applied Statistics, 33, 595-600. https://doi.org/10.1080/02664760600679700

피인용 문헌

  1. Optimal designing of skip-lot sampling plan of type SkSP-2 with group acceptance sampling plan as reference plan under Burr-type XII distribution vol.83, pp.1, 2013, https://doi.org/10.1080/00949655.2011.600697
  2. An Economic Design of a Group Sampling Plan for a Weibull Distribution Using a Bayesian Approach vol.43, pp.6, 2015, https://doi.org/10.1520/JTE20140041
  3. Designing of Group Sampling Plans Based on Gamma-Poisson Distribution vol.40, pp.6, 2012, https://doi.org/10.1520/JTE103327