Table of Contents Author Guidelines Submit a Manuscript
Journal of Probability and Statistics
Volume 2014, Article ID 809706, 7 pages
http://dx.doi.org/10.1155/2014/809706
Research Article

Risk Efficiencies of Empirical Bayes and Generalized Maximum Likelihood Estimates for Rayleigh Model under Censored Data

1Department of Statistics, H. L. Institute of Commerce, Ahmedabad University, Ahmedabad 380009, India
2Department of Statistics, School of Sciences, Gujarat University, Ahmedabad 380009, India

Received 13 February 2014; Accepted 18 June 2014; Published 2 July 2014

Academic Editor: Shesh N. Rai

Copyright © 2014 Dinesh Barot and Manhar Patel. 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. A. C. Cohen, “Progressively censored samples in life testing,” Technometrics, vol. 5, pp. 327–339, 1963. View at Google Scholar · View at MathSciNet
  2. N. Balakrishnan and R. Aggarwala, Progressive Censoring—Theory, Methods and Applications, Statistics for Industry and Technology, Birkhäuser, Boston, Mass, USA, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. Wu, D. Chen, and S. Chen, “Bayesian inference for Rayleigh distribution under progressive censored sample,” Applied Stochastic Models in Business and Industry, vol. 22, no. 3, pp. 269–279, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. N. W. Patel and M. N. Patel, “Progressively type-II censored sample from geometric life time model,” Journal of Probability and Statistical Science, vol. 5, no. 1, pp. 81–95, 2007. View at Google Scholar · View at MathSciNet
  5. H. Robbins, “The empirical Bayes approach to statistical decision problems,” Annals of Mathematical Statistics, vol. 35, no. 1, pp. 1–20, 1964. View at Publisher · View at Google Scholar · View at MathSciNet
  6. J. S. Maritz and T. Lwin, Empirical Bayes Methods, vol. 35 of Monographs on Statistics and Applied Probability, Chapman & Hall, London, UK, 2nd edition, 1989. View at MathSciNet
  7. G. Casella, “Illustrating empirical Bayes methods,” Chemometrics and Intelligent Laboratory Systems, vol. 16, no. 2, pp. 107–125, 1992. View at Publisher · View at Google Scholar · View at Scopus
  8. B. P. Carlin and T. A. Louis, Bayes and Empirical Bayes Methods for Data Analysis, Chapman & Hall, London, UK, 1996. View at MathSciNet
  9. E. L. Lehmann and G. Casella, Theory of Point Estimation, Springer, Second edition, 1998. View at MathSciNet
  10. M. A. M. Ali Mousa, “Empirical Bayes estimators for the Burr type XII accelerated life-testing model based on Type II censored data,” Journal of Statistical Computation and Simulation, vol. 52, pp. 95–103, 1995. View at Google Scholar
  11. A. Asgharzadeh and R. Valiollahi, “Estimation based on progressively censored data from the Burr model,” International Mathematical Forum, vol. 3, no. 43, pp. 2113–2121, 2008. View at Google Scholar · View at MathSciNet
  12. L. Rayleigh, “On the resultant of a large number of vibrations of same pitch and of arbitrary phase,” Philosophical Magazine, vol. 10, no. 60, pp. 73–78, 1880. View at Publisher · View at Google Scholar
  13. R. Calabria and G. Pulcini, “An engineering approach to Bayes estimation for the Weibull distribution,” Microelectronics Reliability, vol. 34, no. 5, pp. 789–802, 1994. View at Publisher · View at Google Scholar · View at Scopus
  14. N. Balakrishnan and R. A. Sandhu, “A simple simulational algorithm for generating progressive type-II censored samples,” The American Statistician, vol. 49, no. 2, pp. 229–230, 1995. View at Publisher · View at Google Scholar
  15. D. J. Best, J. C. W. Rayner, and O. Thas, “Easily applied tests of fit for the Rayleigh distribution,” Sankhya B, vol. 72, no. 2, pp. 254–263, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus