Table of Contents
Journal of Quality and Reliability Engineering
Volume 2014, Article ID 192072, 8 pages
Research Article

Interval Estimation of Stress-Strength Reliability Based on Lower Record Values from Inverse Rayleigh Distribution

Department of Statistics, Islamic Azad University, Maku Branch, Maku, Iran

Received 27 July 2014; Revised 24 October 2014; Accepted 29 October 2014; Published 16 November 2014

Academic Editor: Adiel Teixeira de Almeida

Copyright © 2014 Bahman Tarvirdizade and Hossein Kazemzadeh Garehchobogh. 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. R. G. Voda, “On the inverse Rayleigh variable,” Reports of Statistical Application Researcho f the Union of Japanese Scientists and Engineers, vol. 19, no. 4, pp. 15–21, 1972. View at Google Scholar
  2. K. N. Chandler, “The distribution and frequency of record values,” Journal of the Royal Statistical Society B, vol. 14, pp. 220–228, 1952. View at Google Scholar · View at MathSciNet
  3. C. B. Arnold, N. Balakrishnan, and H. N. Nagaraja, Records, Wiley, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  4. J. Ahmadi, Record values, theory and applications [Ph.D. thesis], Ferdowsi University of Mashhad, Mashhad, Iran, 2000.
  5. S. Gulati and W. J. Padgett, Parametric and Nonparametric Inference from Record-Breaking Data, vol. 172 of Lecture Notes in Statistics, Springer, New York, NY, USA, 2003. View at MathSciNet
  6. S. Kotz, Y. Lumelskii, and M. Pensky, The Stress-strength Model and its Generalizations: Theory and Applications, World Scientific Publishers, 2003. View at MathSciNet
  7. G. S. Rao, R. R. L. Kantam, K. Rosaiah, and J. P. Reddy, “Estimation of stress-strength reliability from inverse Rayleigh distribution,” Journal of Industrial and Production Engineering, vol. 30, no. 4, pp. 256–263, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Soliman, A. E. Amin, and A. A. Abd-El Aziz, “Estimation and prediction from inverse Rayleigh distribution based on lower record values,” Applied Mathematical Sciences, vol. 4, no. 62, pp. 3057–3066, 2010. View at Google Scholar · View at MathSciNet · View at Scopus
  9. T. N. Sindhu, M. Aslam, and N. Feroze, “Bayes estimation of the parameters of the inverse Rayleigh distribution for left censored data,” ProbStat Forum, vol. 6, pp. 42–59, 2013. View at Google Scholar · View at MathSciNet
  10. N. Feroze and M. Aslam, “On posterior analysis of inverse Rayleigh distribution under singly and doubly type II censored data,” International Journal of Probability and Statistics, vol. 1, no. 5, pp. 145–152, 2012. View at Google Scholar
  11. M. Ahsanullah, Record Values, Theory and Applications, University Press of America, Lanham, Md, USA, 2004.
  12. E. L. Lehmann, Elements of Large Sample Theory, Springer, New York, NY, USA, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  13. M.-H. Chen and Q.-M. Shao, “Monte Carlo estimation of Bayesian credible and HPD intervals,” Journal of Computational and Graphical Statistics, vol. 8, no. 1, pp. 69–92, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. G. C. Stone, Statistical analysis of accelerated aging tests on solid electrical insulation [M.S. thesis], University of Waterloo, Waterloo, Ont, Canada, 1978.
  15. B. Efron and R. J. Tibshirani, An Introduction to the Bootstrap, Chapman & Hall, New York, NY, USA, 1993. View at MathSciNet
  16. T. J. DiCiccio and B. Efron, “Bootstrap confidence intervals,” Statistical Science, vol. 11, no. 3, pp. 189–228, 1996. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus