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Journal of Probability and Statistics
Volume 2011, Article ID 765058, 11 pages
Research Article

Lower Confidence Bounds for the Probabilities of Correct Selection

1Department of Mathematics and Statistics, University of Guelph, ON, Canada N1G 2W1
2Department of Statistics, Panjab University, Chandigarh 160014, India

Received 6 October 2010; Accepted 12 January 2011

Academic Editor: A. Thavaneswaran

Copyright © 2011 Radhey S. Singh and Narinder Kumar. 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. S. Gupta and T. Liang, “Simultaneous lower confidence bounds for probabilities of correct selections,” Journal of Statistical Planning and Inference, vol. 72, no. 1-2, pp. 279–290, 1998. View at Publisher · View at Google Scholar
  2. S.S. Gupta, I. Olkin, and M. Sobel, Selecting and Ordering Populations: A New Statistical Methodology, John Wiley & Sons, New York, NY, USA, 1977.
  3. S. S. Gupta and S. Panchapakesan, Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations, John Wiley & Sons, 1979.
  4. N. Mukhopadhyay and T. K. S. Solanky, Multistage Selection and Ranking Procedures, vol. 142, Marcel Dekker, New York, NY, USA, 1994.
  5. S. S. Gupta and S. Panchapakesan, “Subset selection procedures: review and assessment,” American Journal of Mathematical and Management Sciences, vol. 5, no. 3-4, pp. 235–311, 1985. View at Google Scholar
  6. S. S. Gupta and S. Panchpakesan, “Design of experiments with selection and ranking goals,” in Handbook of Statistics, vol. 13, Elsevier Science, Amsterdam, The Netherlands, 1995. View at Google Scholar
  7. H. J. Khamnei and N. Kumar, “Improved confidence bounds for the probability of correct selection: the scale parameter case,” Metron, vol. 57, no. 3-4, pp. 147–167, 1999. View at Google Scholar
  8. E. S. Pearson and H. O. Hartley, Biometrika Tables for Statisticians. Vol. I, Cambridge University Press, London, UK, 1954.
  9. B. Epstein and M. Sobel, “Life testing,” Journal of the American Statistical Association, vol. 48, pp. 486–502, 1953. View at Google Scholar
  10. N. J. Hill, A. R. Padmanabhan, and Madan L. Puri, “Adaptive nonparametric procedures and applications,” Journal of the Royal Statistical Society. Series C, vol. 37, no. 2, pp. 205–218, 1988. View at Publisher · View at Google Scholar
  11. J. F. Lawless, Statistical Models and Methods for Lifetime Data, John Wiley & Sons, New York, NY, USA, 1982.
  12. W. Nelson, Applied Life Data Analysis, John Wiley & Sons, New York, NY, USA, 1982.
  13. F. Proschan, “Theoretical explanation of observed decreasing failure rate,” Technometrics, vol. 5, pp. 375–383, 1963. View at Google Scholar