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Mathematical Problems in Engineering
Volume 2012, Article ID 589640, 13 pages
Research Article

Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions

1Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Salangor, Malaysia
2Department of Mathematics, University Putra Malaysia, 43400 Serdang, Salangor, Malaysia

Received 18 April 2012; Revised 29 May 2012; Accepted 12 June 2012

Academic Editor: Bohdan Maslowski

Copyright © 2012 Chris Bambey Guure 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. L. F. Zhang, M. Xie, and L. C. Tang, “On weighted least square estimation for the parameters of Weibull distribution,” in Recent Advances in Reliability and Quality Design, P. Hoang, Ed., pp. 57–84, Springer, London, UK, 2008. View at Google Scholar
  2. R. B. Abernethy, The New Weibull Handbook, 5th edition, 2006.
  3. M. A. Al Omari and N. A. Ibrahim, “Bayesian survival estimation for Weibull distribution with censored data,” Journal of Applied Sciences, vol. 11, no. 2, pp. 393–396, 2011. View at Google Scholar
  4. F. M. Al-Aboud, “Bayesian estimations for the extreme value distribution using progressive censored data and asymmetric loss,” International Mathematical Forum, vol. 4, no. 33, pp. 1603–1622, 2009. View at Google Scholar
  5. H. S. Al-Kutubi and N. A. Ibrahim, “Bayes estimator for exponential distribution with extension of Jeffery prior information,” Malaysian Journal of Mathematical Sciences, vol. 3, no. 2, pp. 297–313, 2009. View at Google Scholar · View at Scopus
  6. B. N. Pandey, N. Dwividi, and B. Pulastya, “Comparison between bayesian and maximum likelihood estimation of the scale parameter in Weibull distribution with known shape under linex loss function,” Journal of Scientific Research, vol. 55, pp. 163–172, 2011. View at Google Scholar
  7. F. M. Al-Athari, “Parameter estimation for the double-pareto distribution,” Journal of Mathematics and Statistics, vol. 7, no. 4, pp. 289–294, 2011. View at Google Scholar
  8. A. Hossain and W. Zimmer, “Comparison of estimation methods for Weibull parameters: complete and censored samples,” Journal of Statistical Computation and Simulation, vol. 73, no. 2, pp. 145–153, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. L. M. Lye, K. P. Hapuarachchi, and S. Ryan, “Bayes estimation of the extreme-value reliability,” IEEE Transactions on Reliability, vol. 42, no. 4, pp. 641–644, 1993. View at Google Scholar
  10. A. Zellner, “Bayesian estimation and prediction using asymmetric loss functions,” Journal of the American Statistical Association, vol. 81, no. 394, pp. 446–451, 1986. View at Google Scholar · View at Zentralblatt MATH
  11. S. K. Sinha, “Byaes estimation of the reliability function and hazard rate of a Weibull failure time distribution,” Tranbajos De Estadistica, vol. 1, no. 2, pp. 47–56, 1986. View at Google Scholar