75
Views
57
CrossRef citations to date
0
Altmetric
Theory and Method

Robust Estimation of Mean Squared Error of Small Area Estimators

&
Pages 758-766 | Received 01 May 1992, Published online: 27 Feb 2012

References

  • Carter , G. M. and Rolph , J. E. 1974 . “Empirical Bayes Methods Applied to Estimating Fire Alarm Probabilities,” . Journal of the American Statistical Association , 74 : 269 – 277 .
  • Cressie , N. 1992 . “REML Estimation in Empirical Bayes Smoothing of Census Undercount,” . Survey Methodology , 18 : 75 – 94 .
  • Datta , G. S. , Ghosh , M. , Huang , E. T. , Isaki , C. T. , Schultz , L. K. and Tsay , J. H. 1992 . “Hierarchical Bayes and Empirical Bayes Method for Adjustment of the Census Undercount: The 1988 Missouri Dress Rehearsal Data,” . Survey Methodology , 18 : 75 – 94 .
  • Fay , R. E. and Herriot , R. A. 1979 . “Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data,” . Journal of the American Statistical Association , 74 : 269 – 277 .
  • Ghosh , M. and Lahiri , P. 1987 . “Robust Empirical Bayes Estimation of Means From Stratified Samples,” . Journal of the American Statistical Association , 82 : 1153 – 1162 .
  • Henderson , C. R. 1975 . “Best Linear Unbiased Estimation and Prediction Under a Selection Model,” . Biometrics , 31 : 423 – 447 .
  • Kackar , R. N. and Harville , D. A. 1984 . “Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models,” . Journal of the American Statistical Association , 79 : 853 – 862 .
  • Morris , C. N. 1983 . “Parametric Empirical Bayes Inference: Theory and Applications,” . Journal of the American Statistical Association , 78 : 47 – 59 .
  • Prasad , N. G. N. and Rao , J. N. K. 1986 . “On the Estimation of Mean Squared Error of Small Area Predictors,” , Carleton University, Laboratory for Research in Statistics and Probability . Technical Report 97
  • Prasad , N. G. N. and Rao , J. N. K. 1990 . “The Estimation of the Mean Square Error of Small-Area Estimators,” . Journal of the American Statistical Association , 85 : 163 – 171 .
  • Rao , C. R. 1973 . Linear Statistical Inference and Its Applications, , 2nd ed. , New York : John Wiley .
  • Rao , C. R. and Kleffe , J. 1988 . Estimation of Variance Components and Applications , Amsterdam : Elsevier .
  • Wolter , K. M. 1985 . Introduction to Variance Estimation , New York : Springer-Verlag .
  • Wu , C. F. J. 1986 . “Jackknife, Bootstrap, and Other Resampling Methods in Regression Analysis,” . The Annals of Statistics , 14 : 1261 – 1295 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.