Industrial Engineering and Management Systems

  • 제10권2호
  • /
  • Pages.154-160
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  • 2011
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  • 1598-7248(pISSN)
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  • 2234-6473(eISSN)
대한산업공학회 (Korean Institute of Industrial Engineers)
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A Reliability Sampling Plan Based on Progressive Interval Censoring Under Pareto Distribution of Second Kind

  • Aslam, Muhammad (Department of Statistics, Forman Christian College University) ;
  • Huang, Syuan-Rong (Department of Management Sciences, Tamkang University) ;
  • Chi, Hyuck-Jun (Department of Industrial and Management Engineering, POSTECH) ;
  • Ahmad, Munir (National College of Business Administration & Economics) ;
  • Rasool, Mujahid (Department of Statistics, Forman Christian College University)
  • 투고 : 2011.02.28
  • 심사 : 2011.04.28
  • 발행 : 2011.06.01
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초록

In this paper, a reliability sampling plan under progressively type-1 interval censoring is proposed when the lifetime of products follows the Pareto distribution of second kind. We use the maximum likelihood estimator for the median life and its asymptotic distribution. The cost model is proposed and the design parameters are determined such that the given producer's and the consumer's risks are satisfied. Tables are given and the results are explained with examples.

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참고문헌

  1. Ali, Mousa, M. A. M., and Jaheen, Z. F. (2002), Bayesian prediction for progressively censored data from the Burr model, Statistical Papers, 43, 587-593. https://doi.org/10.1007/s00362-002-0126-7
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  8. Li, X., Shia, Y., Weia, J., and Chai, J. (2007), Empirical Bayes estimators of reliability performances using LINEX loss under progressively type-II censored sample, Math Comput Simul, 73, 320-326. https://doi.org/10.1016/j.matcom.2006.05.002
  9. Lin, C.-T., Wu. S. J. S., and Balakrishnan, N. (2006), Inference for log-gamma distribution based on progressively type-II censored data, Communication in Statistics: Theory Methods, 35, 1271-1292. https://doi.org/10.1080/03610920600692789
  10. Lio, Y. L., Tsai, Tzong-Ru, and Wu, Shuo-Jye (2010a), Acceptance sampling plans from truncated life tests based on the Birnbaum-saunders distribution for Percentiles, Communication in Statistics: Simulation and Computations, 39(1), 119-136.
  11. Lio, Y. L., Tsai, Tzong-Ru, and Wu, Shuo-Jye (2010b), Acceptance sampling plans from truncated life tests based on Burr type XII percentiles, Journal of Chinese institute of Industrial Engineers, 27(4), 270-280. https://doi.org/10.1080/10170661003791029
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  13. Tse, S.-K., Yuen H.-K., and Yang, C. (2002), Statistical analysis of exponential lifetimes under an integrated type-II interval censoring scheme, Journal of Statistical Simulation and Computation, 72, 461-471. https://doi.org/10.1080/00949650213698
  14. Wu, S.-J., Lin, Y.-P., and Chen, S.-T. (2008), Optimal step-stress test under type I progressive groupcensoring with random removals, Journal of Statistical Planning and Inference, 138, 817-826. https://doi.org/10.1016/j.jspi.2007.02.004
  15. Wu, S.-J. and Huang, S.-R. (2008), Reliability sampling plans under progressively type-I interval censoring using cost functions, IEEE Transaction on Reliability, 57(3), 445-451. https://doi.org/10.1109/TR.2008.928239
  16. Wu, S.-J. and Huang, S.-R. (2009), Optimal progressively group-censoring plans for exponential distribution in presence of cost constraint, Statistical Papers, (to appear).

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