Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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On Frequentist Properties of Some Hierachical Bayes Predictors for Small Domain Data in Repeated Surveys

  • Narinder K. Nangia (Trilogy Consulting Corporation, Waukegan, Illinois 60085, USA) ;
  • Kim, Dal-Ho (Department of Statistics, Kyungpook National University, Taegu, 702-701)
  • Published : 1997.06.01
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Abstract

The paper shows that certain hierachical Bayes (HB) predictors for small domain data in repeated surveys "universally" or "stochastically" dominate all linear unbiased predictors. Also, the HB predictors are "best" within the class of all equivariant predictors under a certain group of transformations.tain group of transformations.

Keywords

References

  1. Journal of the American Statistical Association v.83 An Error Components Model for Prediction of County Crop Areas Using Survey and Satellite Data Battese, G.E.;Harter, R.M.;Fuller, W.A.
  2. The Annals of Statistics v.19 Bayesian Prediction in Linear Model: Applications to Small Area Estimation Datta, G.S.;Ghosh, M.
  3. Calcutta Statistical Association Bulletin v.40 On the Frequentist Properties of Some Hierarchical Bayes Predictors in Finite Population Sampling Datta, G.S.;Ghosh, M.
  4. Journal of the American Statistical Association v.74 Estimates of Income for Small Places: An Applixation of James-Stein Procedures to Census Data Fay, R.E.;Herriot, R.A.
  5. Journal of the American Statistical Association v.82 Robust Empirical Bayes Estimation of Means from Stratified Samples Ghosh, M.;Lahiri, P.
  6. Journal of the American Statistical Association v.81 Empirical Bayes Estimation in Finite Population Sampling Ghosh, M.;Meeden, G.
  7. Journal of the American Statistical Association v.91 Estimation of Median Income of Four-Person Families: A Bayesian Time Series Approach Ghosh, M.;Nangia, N.;Kim, D.H.
  8. The Annals of Statistics v.13 Universal Domination and Stochastic Domination: Estimation Simultaneously under a Broad Class of Loss Functions Hwang, J.T.
  9. The Annals of Statistics v.13 Universal Domination and Stochastic Domination: Estimation Simultaneously under a Broad Class of Loss Functions Hwang, J.T.
  10. Applied Multivariate Analysis Press, S.J.
  11. Linear Statistical Inference and Its Applications(2nd ed.) Rao, C.R.
  12. An Introduction to Bayesian Inference in Econometrics Zellner, A.