ACCEPTANCE SAMPLING PLAN BASED ON TRUNCATED LIFE TESTS FOR COMPOUND RAYLEIGH DISTRIBUTION

Authors

  • Bhupendra Singh Department of Statistics C. C. S. University, Meerut-250004, India
  • K. K. Sharma Department of Statistics C. C. S. University, Meerut-250004, India
  • Dushyant Tyagi Department of Statistics C. C. S. University, Meerut-250004, India

Keywords:

Acceptance Sampling, Compound Rayleigh Distribution, Producer’s Risk, Consumer’s Risk, Operating Characteristic Curve, Truncated Life Test.

Abstract

In this paper, a reliability sampling plan is developed assuming that lifetimes of the test units follow compound Rayleigh distribution and the life test is terminated at a pre-fixed time. This type of sampling plan is used to save the test time in practical situations. The minimum sample size required for ensuring the specified mean life at specified consumer’s confidence level has been determined. The operating characteristic curve values of the sampling plans are examined with varying ratio of the true mean life to the specified life. The minimum such mean ratios are also obtained to minimize the producer’s risk at the specified level. For illustrative purpose, a numerical example has been discussed.

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References

Aslam, M. and Shahbaz, M. Q. (2007). Economic reliability tests plans using the generalized exponential distribution, Journal of Statistics, 14, p. 52-59.

Baklizi, A. and El Masri, A. E. K. (2004). Acceptance sampling based on truncated life tests in the Birnbaum–Saunders model, Risk Anal. 24, p. 1453– 1457.

Bhattacharya, S. K. and Tyagi, R. K. (1990). Bayesian survival analysis based on the Rayleigh model, Trabajos de Estadistica, vol. 5, no.1, p. 81-92.

Gupta, S.S. and Groll, P.A. (1961). Gamma distribution in acceptance sampling based on life tests, J. Amer. Statist. Assoc, 56, p. 942 – 970.

Kantam, R. R. L., Rosaiah, K., Rao, G. S. (2001). Acceptance sampling based on life tests: log-logistic models, J. Appl. Statist. 28, p. 121–128.

Kantam, R.R.L. and Rosaiah, K., (1998). Half logistic distribution in acceptance sampling based on life tests, IAPQR Transactions. 23 (2), p. 117 – 125.

Khan, M.A. and Islam, H.M. (2010). On the robustness of reliability characteristic of alpha distributed lifetimes, Econ. Qual. Cont. Journal, 25(2), p. 173-181.

Mostert, P. J., Bekker, A. and Roux, J. J. J. (1998). Bayesian analysis of survival data using the Rayleigh model and linex loss, South African Statistical Journal, vol. 32, no. 1, p. 19-42.

Polovko, A. M. (1968). Fundamentals of Reliability Theory, Academic Press: New York.

Raqab, M. Z. and Madi, M. T. (2002). Bayesian prediction of the total time on test using doubly censored Rayleigh data, Journal of Statistical Computation and Simulation, 72, p. 781-789.

Tsai, T.-R. and Wu, S.-J. (2006). Acceptance sampling based on truncated life tests for generalized Rayleigh distribution, Journal of Applied Statistics, 33, p. 595-600.

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Published

2013-12-02

How to Cite

Singh, B. ., Sharma, K. K. ., & Tyagi, D. . (2013). ACCEPTANCE SAMPLING PLAN BASED ON TRUNCATED LIFE TESTS FOR COMPOUND RAYLEIGH DISTRIBUTION. Journal of Reliability and Statistical Studies, 6(02), 01–15. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21665

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