Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Time Truncated Two-Stage Group Sampling Plan for Weibull Distribution

  • Aslam, Muhammad (Department of Statistics, Forman Christian College University) ;
  • Jun, Chi-Hyuck (Department of Industrial and Management Engineering POSTECH) ;
  • Rasool, Mujahid (Department of Statistics, Forman Christian College University) ;
  • Ahmad, Munir (Department of Statistics, National College of Business Administration & Economics)
  • Published : 2010.01.31
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Abstract

In this paper, a two-stage group sampling plan based on the time truncated life test is proposed for the Weibull distribution. The design parameters such as the number of groups and the acceptance number in each stage are determined by satisfying the producer's and consumer's risks simultaneously when the group size and the test duration are specified. The acceptable reliability level is expressed by the ratio of the true mean life to the specified life. It was demonstrated from the comparison with single-stage group sampling plans that the proposed plan can reduce the average sample number or improve the operating characteristics.

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References

  1. Aslam, M. and Jun, C. -H. (2009a). Group acceptance sampling plans for truncated life tests based on the inverse Rayleigh and log-logistic distributions, 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. Aslam, M. and Kantam, R. R. L. (2008). Economic acceptance sampling based on truncated life tests in the Birnbaum-Saunders distribution, Pakistan Journal of Statistics, 24, 269-276.
  4. 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
  5. Fertig, F. W. and Mann, N. R. (1980). Life-test sampling plans for two-parameter Weibull populations, Technometrics, 22, 165-177. https://doi.org/10.2307/1268455
  6. Goode, H. P. and Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution, In Proceeding of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, 24-40.
  7. Gupta, S. S. (1962). Life test sampling plans for normal and lognormal distributions, Technometrics, 4, 151-175. https://doi.org/10.2307/1266616
  8. 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
  9. 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
  10. 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
  11. Pascual, F. G. and Meeker, W. Q. (1998). The modified sudden death test: Planning life tests with a limited number of test positions, Journal of Testing and Evaluation, 26, 434-443. https://doi.org/10.1520/JTE12692J
  12. Pearn, W. L and Wu, C. -W. (2006). Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defectives, Omega, 34, 90-101. https://doi.org/10.1016/j.omega.2004.08.001
  13. Sobel, M. and Tischendrof, J. A. (1959). Acceptance sampling with new life test objectives, In Proceeding of fifth National Symposium on Reliability and Quality Control, Philadelphia, Pennsylvania, 108-118.
  14. 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

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