Table of Contents
International Journal of Quality, Statistics, and Reliability
Volume 2012, Article ID 245910, 5 pages
http://dx.doi.org/10.1155/2012/245910
Research Article

Parameter Estimation Based on the Frèchet Progressive Type II Censored Data with Binomial Removals

1Mathematics Department, Faculty of Science, Minia University, El-Minia 61519, Egypt
2Mathematics Department, University College in Lieth, Umm Al-Qura University, Makkah 311, Saudi Arabia

Received 17 March 2011; Revised 16 June 2011; Accepted 17 June 2011

Academic Editor: Chun-Ping Lin

Copyright © 2012 Mohamed Mubarak. 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. S. Nadarajah and S. Kotz, “The Exponentiated Frechet Distribution,” Interstat Electronic Journal, 2003, http://interstat.statjournals.net/YEAR/2003/articles/0312001.pdf.
  2. A. M. Abd-Elfattah and A. M. Omima, “Estimation of the unknown parameters of the generalized Frechet distribution,” Journal of Applied Sciences Research, vol. 5, no. 10, pp. 1398–1408, 2009. View at Google Scholar · View at Scopus
  3. S. Kotz and S. Nadarajah, Extreme Value Distributions: Theory and Applications, Imperial College Press, London, UK, 2000.
  4. N. R. Mann, R. E. Schafer, and N. D. Singpurwalla, Methods for Statistical Analysis of Reliability and Life Data, John Wiley & Sons, New York, NY, USA, 1974.
  5. J. F. Lawless, ”Statistical Methods and Methods for Lifetime Data, John Wiley & Sons, New York, NY, USA, 1982.
  6. W. Q. Meeker and L. A. Escobar, Statistical Methods for Reliability Data, John Wiley & Sons, New York, NY, USA, 1998.
  7. N. Balakrishnan and R. Aggarwala, Progressive Censoring—Theory, Moethods and Applications, Birkhäauser, Boston, Mass, USA, 2000.
  8. A. C. Cohen, “Progressively censored samples in life testing,” Technometrics, vol. 5, pp. 327–339, 1976. View at Google Scholar
  9. N. R. Mann, “Best liner invariant estimation for Weibull parameters under progressive censoring,” Technometrics, vol. 13, pp. 521–533, 1971. View at Google Scholar
  10. R. Viveros and N. Balakrishnan, “Interval estemation of parameters of life from progressivve censoring data,” Technometrics, vol. 36, pp. 84–91, 1994. View at Google Scholar
  11. H. K. Yuen and S. K. Tse, “Parameters estimation for weibull distributed lifetimes under progressive censoring with random removals,” Journal of Statistical Computation and Simulation, vol. 55, no. 1-2, pp. 57–71, 1996. View at Google Scholar · View at Scopus
  12. S. K. Tae, C. Yang, and H. K. Yuen, “Statistical analysis of Weibull distributed lifetime data under Type II prograssive censoring with binomial removals,” Journal of Applied Statistics, vol. 27, pp. 1033–1043, 2000. View at Google Scholar
  13. K. Alakuş, “Confidence intervals estimation for survival function in weibull proportional hazards regression based on censored survival time data,” Scientific Research and Essays, vol. 5, no. 13, pp. 1589–1594, 2010. View at Google Scholar · View at Scopus
  14. M. Maswadah, “Conditional confidence interval estimation for the inverse weibull distribution based on censored generalized order statistics,” Journal of Statistical Computation and Simulation, vol. 73, no. 12, pp. 887–898, 2003. View at Publisher · View at Google Scholar
  15. J. A. Griggs and Y. Zhang, “Determining the confidence intervals of Weibull parameters estimated using a more precise probability estimator,” Journal of Materials Science Letters, vol. 22, no. 24, pp. 1771–1773, 2003. View at Publisher · View at Google Scholar · View at Scopus
  16. D. R. Thomas and W. M. Wilson, “Linear order statistic estimation for the two parameter Weibull and extreme value distribution from type -II progressively censored samples,” Technometrics, vol. 14, pp. 679–691, 1972. View at Google Scholar
  17. M. Han, “Estimation of failure probability and its applications in lifetime data analysis,” International Journal of Quality, Statistics, and Reliability, vol. 2011, Article ID 719534, 6 pages, 2011. View at Publisher · View at Google Scholar
  18. S. Loehnert, “About statistical analysis of qualitative survey data,” International Journal of Quality, Statistics, and Reliability, vol. 2010, Article ID 849043, 12 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Engelhardt and L. J. Bain, “Tolerance limits and confidence limits on reliability for the two parameter exponential distribution,” Technometrics, vol. 20, pp. 37–39, 1978. View at Google Scholar