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A two-sample estimate of the largest mean

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References

  1. R. R. Bahadur and H. Robbins, “The problem of the greater mean,”Ann. Math. Statist., 21 (1950) 469–487.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  3. R. E. Bechhofer and M. Sobel, “A single-sample multiple decision procedure for ranking variances of normal populations,”Ann. Math. Statist., 25, (1954), 273–289.

    Article  MATH  MathSciNet  Google Scholar 

  4. D. Blackwell and M. A. Girshick,Theory of Games and Statistical Decision, John Wiley & Sons, New York, 1954.

    Google Scholar 

  5. C. W. Dunnet, “On selecting the largest ofk normal population means,” J.R.S.S., Series B, 22 (1960), 1–30.

    Google Scholar 

  6. S. S. Gupta, “Probability integrals of multivariate normal and multivariatet,”Ann. Math. Statist., 34 (1963), 792–838.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Karlin and H. Rubin, “The theory of decision procedures for distributions with monotone likelihood ratio,”Ann. Math. Statist., 27 (1956), 272–299.

    Article  MATH  MathSciNet  Google Scholar 

  8. E. L. Lehmann, “Notes on theory of estimation,” Lecture notes, University of California, 1950.

  9. E. L. Lehmann, “Ordered families of distributions,”Ann. Math. Statist., 26 (1955), 399–419.

    Article  MATH  MathSciNet  Google Scholar 

  10. E. L. Lehmann,Testing Statistical Hypothesis, John Wiley & Sons, New York, 1959.

    Google Scholar 

  11. E. L. Lehmann, “On a theorem of Bahadur and Goodman,”ann. Math. Statist., 37 (1966), 1–6.

    Article  MATH  MathSciNet  Google Scholar 

  12. R. C. Milton, Tables of equally correlated multivariate normal probability integral, Tech. Report No. 27, Department of Statistics, University of Minnesota, 1963.

  13. National Bureau of Standards, “Tables of the bivariate normal distribution function and related functions,” U.S. Department of Commerce, Applied Mathematics Series 50, 1959.

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The author's work was supported in part by National Science Foundation under Grant No. GP-7496.

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Alam, K. A two-sample estimate of the largest mean. Ann Inst Stat Math 19, 271–283 (1967). https://doi.org/10.1007/BF02911680

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