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Theory and Method

Minimax Estimation of Proportions under Random Sample Size

Pages 1107-1111 | Received 01 Mar 1994, Published online: 27 Feb 2012

References

  • Chaudhuri , A. and Stenger , H. 1992 . Survey Sampling–Theory and Methods , New York : Marcel Dekker .
  • Eichenauer , J. and Lehn , J. 1988 . “Randomized Minimax Estimators Under Simple Random Sampling From a Finite Population,” . Elemente der Mathematik , 43 : 170 – 177 .
  • He , K. 1990 . “An Ancillarity Paradox in the Estimation of Multinomial Probabilities,” . Journal of the American Statistical Association , 85 : 824 – 829 .
  • Hodges , J. L. Jr and Lehmann , E. L. 1950 . “Some Problems in Minimax Point Estimation,” . The Annals of Mathematical Statistics , 21 : 182 – 197 .
  • Lehmann , E. L. 1983 . Theory of Point Estimation , New York : John Wiley .
  • Rutkowska , M. 1977 . “Minimax Estimation of the Parameters of the Multivariate Hypergeometric and Multinomial Distributions,” . Zastosowania Matematyki , 16 : 9 – 21 .
  • Trybula , S. 1958 . “Some Problems of Simultaneous Minimax Estimation,” . The Annals of Mathematical Statistics , 29 : 245 – 253 .
  • Trybula , S. 1991 . “Systematic Estimation of Parameters of Multinomial and Multivariate Hypergeometric Distribution,” . Statistics , 22 : 59 – 67 .
  • Wilczynski , M. 1985 . “Minimax Estimation for the Multinomial and Multivariate Hypergeometric Distributions,” . Sankhyá , 47 : 128 – 132 .

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