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Journal of Applied Mathematics
Volume 2012, Article ID 717184, 13 pages
Research Article

Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

1Department of Information Management, Shih Chien University, Kaohsiung Campus, Kaohsiung 84550, Taiwan
2Department of International Business, Chang Jung Christian University, Tainan 71101, Taiwan
3Department of Applied Mathematics, National Chiayi University, Chiayi City 60004, Taiwan

Received 31 January 2012; Accepted 6 March 2012

Academic Editor: Vu Phat

Copyright © 2012 Ching-Wen Hong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. C. Montgomery, Introduction to Statistical Quality Control, John Wiley & Sons, New York, NY, USA, 1985.
  2. V. E. Kane, “Process capability indices,” Journal of Quality Technology, vol. 18, pp. 41–52, 1986. View at Google Scholar
  3. L. I. Tong, K. S. Chen, and H. T. Chen, “Statistical testing for assessing the performance of lifetime index of electronic components with exponential distribution,” International Journal of Quality & Reliability Management, vol. 19, pp. 812–824, 2002. View at Google Scholar
  4. C.-W. Hong, J.-W. Wu, and C.-H. Cheng, “Computational procedure of performance assessment of lifetime index of businesses for the Pareto lifetime model with the right type II censored sample,” Applied Mathematics and Computation, vol. 184, no. 2, pp. 336–350, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. W.-C. Lee, J.-W. Wu, and C.-W. Hong, “Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model,” Mathematics and Computers in Simulation, vol. 79, no. 7, pp. 2167–2179, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. W. C. Lee, J. W. Wu, C. W. Hong, H. Y. Pan, and W. L. Hung, “Decision procedure of performance assessment of lifetime index of products for the Gompertz distribution,” Proceedings of the IMechE, Part B, vol. 224, no. 3, pp. 493–499, 2010. View at Google Scholar
  7. W. Weibull, “A statistical distribution function of wide 4pplicability,” Journal of Applied Mechanics, vol. 18, pp. 293–297, 1951. View at Google Scholar
  8. W. Nelson, Applied life Data Analysis, John Wiley & Sons, New York, NY, USA, 1982.
  9. L. G. Johnson, Theory and Technique of Variation Research, Elsevier, 1964.
  10. U. Balasooriya, “Failure-censored reliability sampling plans for the exponential distribution,” Journal of Statistical Computation and Simulation, vol. 52, pp. 337–349, 1995. View at Google Scholar
  11. J. W. Wu, T. R. Tsai, and L. Y. Ouyang, “Limited failure-censored life test for the weibull distribution,” IEEE Transactions on Reliability, vol. 53, pp. 107–111, 2001. View at Google Scholar
  12. S.-J. Wu and C. Kuş, “On estimation based on progressive first-failure-censored sampling,” Computational Statistics & Data Analysis, vol. 53, no. 10, pp. 3659–3670, 2009. View at Publisher · View at Google Scholar
  13. A. J. Fernández, “On estimating exponential parameters with general type II progressive censoring,” Journal of Statistical Planning and Inference, vol. 121, no. 1, pp. 135–147, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. P. K. Sen, “Progressive censoring schemes,” in Encyclopedia of Statistical Sciences, S. Kotz and N. L. Johnson, Eds., vol. 7, pp. 296–299, John Wiley & Sons, New York, NY, USA, 1986. View at Google Scholar
  15. P. W. Zehna, “Invariance of maximum likelihood estimators,” Annals of Mathematical Statistics, vol. 37, no. 3, article 744, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. P. K. Sen and J. M. Singer, Large Sample Methods in Statistics, Chapman & Hall, New York, NY, USA, 1993.
  17. G. Casella and R. L. Berger, Statistical Inference, Duxbury, Pacific Grove, Calif, USA, 2nd edition, 2002.
  18. J. F. Lawless, Statistical Models and Methods for Lifetime Data, Wiley Series in Probability and Statistics, Wiley-Interscience, Hoboken, NJ, USA, 2nd edition, 2003.