Skip to main content
Log in

Bayesian procedures for ranking and selection problems

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bahadur, R. R. (1950). On a problem in the theory ofk populations,Ann. Math. Statist.,21, 362–375.

    MATH  MathSciNet  Google Scholar 

  2. Bahadur, R. R. and Goodman, L. A. (1952). Impartial decision rules and sufficient statistics,Ann. Math. Statist.,23, 553–562.

    MATH  MathSciNet  Google Scholar 

  3. Bechhofer, R. E. (1954). A single-sample multiple-decision procedure for ranking means of normal populations with known variances,Ann. Math. Statist.,25, 16–39.

    MATH  MathSciNet  Google Scholar 

  4. Bland, R. P. and Bratcher, T. L. (1968). A Bayesian approach to the problem of ranking binomial probabilities,SIAM J. Appl. Math.,16, 843–850.

    Article  MATH  MathSciNet  Google Scholar 

  5. Bratcher, T. L. (1970). A Bayesian treatment of a multiple comparison problem for binomial probabilities, An unpublished manuscript.

  6. Deeley, J. J. and Gupta, S. S. (1968). On the properties of subset selection procedures,Sankhyā, Ser. A,30, 37–50.

    Google Scholar 

  7. Fairweather, W. R. (1968). Some extensions of Somerville's procedure for ranking means of normal populations,Biometrika,55, 411–418.

    Article  MathSciNet  Google Scholar 

  8. Gupta, S. S. (1956).On a Decision Rule for a Problem in Ranking Means, Mimeograph Series No. 150, Institute of Statistics, University of North Carolina, Chapel Hill, N.C.

    MATH  Google Scholar 

  9. Gupta, S. S. and Sobel, M. (1960). Selecting a subset containing the best of several binomial populations,Contributions to Probability and Statistics, Essay in Honor of Harold Hotelling, Stanford: Stanford University Press, 224–248.

    Google Scholar 

  10. Lehmann, E. L. (1959).Testing Statistical Hypotheses, New York: Wiley.

    Google Scholar 

  11. Raiffa, H. and Schlaifer, R. (1961).Applied Statistical Decision Theory, Boston: Harvard University Graduate School of Business Administration.

    MATH  Google Scholar 

  12. Seal, K. C. (1955). On a class of decision procedures for ranking means of normal populations,Ann. Math. Statist.,26, 387–398.

    MATH  MathSciNet  Google Scholar 

  13. Seal, K. C. (1958). On ranking parameters of scale in Type III populations,J. Amer. Statist. Ass.,53, 164–175.

    Article  MATH  MathSciNet  Google Scholar 

  14. Somerville, P. N. (1954). Some problems of optimal sampling,Biometrika,41, 420–429.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Govindarajulu, Z., Harvey, C. Bayesian procedures for ranking and selection problems. Ann Inst Stat Math 26, 35–53 (1974). https://doi.org/10.1007/BF02479802

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02479802

Keywords

Navigation