Table of Contents
Advances in Statistics
Volume 2015 (2015), Article ID 525136, 11 pages
http://dx.doi.org/10.1155/2015/525136
Research Article

Statistical Inference in Dependent Component Hybrid Systems with Masked Data

1Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA
2College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China
3Business Information Management School, Shanghai University of International Business and Economics, Shanghai 201600, China

Received 26 March 2015; Accepted 26 May 2015

Academic Editor: Shuo-Jye Wu

Copyright © 2015 Naijun Sha 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. J. S. Usher and T. J. Hodgson, “Maximum likelihood analysis of component reliability using masked system life-test data,” IEEE Transactions on Reliability, vol. 37, no. 5, pp. 550–555, 1988. View at Publisher · View at Google Scholar · View at Scopus
  2. N. Doganaksoy, “Interval estimation from censored and masked system-failure data,” IEEE Transactions on Reliability, vol. 40, no. 3, pp. 280–286, 1991. View at Publisher · View at Google Scholar
  3. D. K. J. Lin, J. S. Usher, and F. M. Guess, “Exact maximum likelihood estimation using masked system data,” IEEE Transactions on Reliability, vol. 42, no. 4, pp. 631–635, 1993. View at Publisher · View at Google Scholar · View at Scopus
  4. B. Reiser, I. Guttman, D. K. Lin, F. M. Guess, and J. S. Usher, “Bayesian inference for masked system lifetime data,” Journal of the Royal Statistical Society Series C: Applied Statistics, vol. 44, no. 1, pp. 79–90, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  5. D. K. J. Lin, J. S. Usher, and F. M. Guess, “Bayes estimation of component-reliability from masked system-life Data,” IEEE Transactions on Reliability, vol. 45, no. 2, pp. 233–237, 1996. View at Publisher · View at Google Scholar · View at Scopus
  6. J. S. Usher, “Weibull component reliability-prediction in the presence of masked data,” IEEE Transactions on Reliability, vol. 45, no. 2, pp. 229–232, 1996. View at Publisher · View at Google Scholar · View at Scopus
  7. A. M. Sarhan and A. H. El-Bassiouny, “Estimation of components reliability in a parallel system using masked system life data,” Applied Mathematics and Computation, vol. 138, no. 1, pp. 61–75, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  8. A. M. Sarhan, “The Bayes procedure in exponential reliability family models using conjugate convex tent prior family,” Reliability Engineering and System Safety, vol. 71, no. 1, pp. 97–102, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. A. M. Sarhan, “Parameter estimations in linear failure rate model using masked data,” Applied Mathematics and Computation, vol. 151, no. 1, pp. 233–249, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  10. A. M. Sarhan and D. Kundu, “Bayes estimators for reliability measures in geometric distribution model using masked system life test data,” Computational Statistics and Data Analysis, vol. 52, no. 4, pp. 1821–1836, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. H. Y. Jiang and G. F. Zhang, “Parameter estimation in exponential failure rate model using masked data,” Journal of Zhejiang University, vol. 33, no. 2, pp. 125–128, 2006. View at Google Scholar · View at MathSciNet
  12. A. I. El-Gohary, “Bayesian estimation of the parameters in two non-independent component series system with dependent time failure rate,” Applied Mathematics and Computation, vol. 154, no. 1, pp. 41–51, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. F. Zhang and Y. Shi, “Parameter estimation of the aerospace power supply system using masked lifetime data,” Aerospace Control, vol. 27, no. 4, pp. 96–100, 2009. View at Google Scholar
  14. Y. Liu and Y. Shi, “Statistical analysis of the reliability for power supply of spacecraft with masked system life test data,” Aerospace Control, vol. 28, no. 2, pp. 70–74, 2010. View at Google Scholar
  15. A. W. Marshall and I. Olkin, “A multivariate exponential distribution,” Journal of the American Statistical Association, vol. 62, pp. 30–44, 1967. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. J. F. Lawless, Statistical Models and Methods for Lifetime Data, John Wiley & Sons, New York, NY, USA, 1982. View at MathSciNet
  17. F. J. Samaniego, System Signatures and their Applications in Engineering Reliability, vol. 110 of International Series in Operations Research & Management Science, Springer, Berlin, Germany, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  18. S. Eryilmaz, “Review of recent advances in reliability of consecutive k-out-of-n and related systems,” Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, vol. 224, no. 3, pp. 225–237, 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. N. Balakrishnan, H. K. Ng, and J. Navarro, “Exact nonparametric inference for component lifetime distribution based on lifetime data from systems with known signatures,” Journal of Nonparametric Statistics, vol. 23, no. 3, pp. 741–752, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. F. P. A. Coolen and T. Coolen-Maturi, “Generalizing the signature to systems with multiple types of components,” in Complex Systems and Dependability, W. Zamojski, J. Mazurkiewicz, J. Sugier, T. Walkowiak, and J. Kacprzyk, Eds., vol. 170 of Advances in Intelligent and Soft Computing, pp. 115–130, Springer, Berlin, Germany, 2012. View at Publisher · View at Google Scholar
  21. L. J. M. Aslett, MCMC for inference on phase-type and masked system lifetime models [Ph.D. thesis], Trinity College Dublin, Dublin, Ireland, 2012.