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Estimation after sequential selection and ranking

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Abstract

Problems of estimating parameters from normal populations after the completion of the purely sequential selection and ranking methodology are addressed. Various second-order asymptotic characteristics associated with natural estimators are presented.

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References

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

    MathSciNet  Google Scholar 

  2. Bechhofer RE, Dunnett CW, Sobel M (1954) A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Biometrika 41:170–176

    MATH  MathSciNet  Google Scholar 

  3. Chow YS, Hsiung C, Lai T (1979) Extended renewal theory and moment convergence in Anscombe’s theorem. Ann Prob 7:304–318

    MATH  MathSciNet  Google Scholar 

  4. Chow YS, Robbins H, Teicher H (1965) Moments of randomly stopped sums. Ann Math Statist 36:789–799

    MathSciNet  Google Scholar 

  5. Ghosh M, Mukhopadhyay N (1990) Sequential estimation of the location parameter of an exponential distribution. Sankhya A52:303–313

    MathSciNet  Google Scholar 

  6. Gupta SS, Miescke KJ (1990) On finding the largest normal mean and estimating the selected mean. Sankhya B52:144–157

    MathSciNet  Google Scholar 

  7. Gupta SS, Miescke KJ (1993) Single-sample Bayes and empirical Bayes rules for ranking and estimating multinomial probabilities. J Statist Plan Inf 33:367–382

    Article  MathSciNet  Google Scholar 

  8. Hsieh HK (1981) On estimating the mean of the selected population with unknown variance. Commun Statist Theor Meth 10:1869–1878

    Article  MathSciNet  Google Scholar 

  9. Mukhopadhyay N (1983) Theoretical investigations of some sequential and two-stage procedures to select the larger mean. Sankhya A45:346–356

    Google Scholar 

  10. Mukhopadhyay N, Datta S (1994) Replicated piecewise multistage sampling with applications. Sequential Analysis 13:253–276

    Article  MATH  MathSciNet  Google Scholar 

  11. Mukhopadhyay N, Judge J (1991) Three-stage procedures for selecting the largest normal mean. Modern Sequential Statistical Analysis, H. Robbins Vol., Govindarajulu Z (ed) American Sciences Press Inc, Columbus, 241–262

    Google Scholar 

  12. Mukhopadhyay N, Solanky TKS (1992) Accelerated sequential procedure for selecting the largest mean. Sequential Analysis 11:137–148

    Article  MATH  MathSciNet  Google Scholar 

  13. Mukhopadhyay N, Solanky TKS (1994) Multistage selection and ranking procedures. Marcel Dekker Inc, New York

    MATH  Google Scholar 

  14. Robbins H, Sobel M, Starr N (1968) A sequential procedure for selecting the best ofk populations. Ann Math Statist 39:88–92

    MathSciNet  Google Scholar 

  15. Vellaisamy P, Kumar S, Sharma D (1988) Estimating the mean of the selected uniform population. Commun Statist Theor Meth 17:3447–3476

    Article  MATH  MathSciNet  Google Scholar 

  16. Venter JH (1988) Estimation of the mean of the selected population. Commun Statist Theor Meth 17:791–805

    Article  MATH  MathSciNet  Google Scholar 

  17. Woodroofe M (1977) Second-order approximations for sequential point and interval estimation. Ann Statist 5:984–995

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, Univ. of Connecticut, 196 Auditorium Road, U-120, 06269-3120, Storrs, CT, USA

    N. Mukhopadhyay

  2. Department of Mathematics, University of New Orleans, 70148, New Orleans, LA, USA

    T. K. S. Solanky

Authors
  1. N. Mukhopadhyay
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  2. T. K. S. Solanky
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Mukhopadhyay, N., Solanky, T.K.S. Estimation after sequential selection and ranking. Metrika 45, 95–106 (1997). https://doi.org/10.1007/BF02717096

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  • DOI: https://doi.org/10.1007/BF02717096

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