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Original Articles

Bayesian prediction for small areas using sur models

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Pages 1355-1379 | Received 01 Feb 1996, Published online: 27 Jun 2007

References

  • Battese , G.E. , Harter , R.M. and Fuller , W.A. 1988 . An Error Components Model for Prediction of County Crop Areas Using Survey and Satellite Data . J. Amer. Stat. Assoc. , 83 : 28 – 36 .
  • Box , G.E.P. and Tiao , G.C. 1973 . Bayesian Inference in Statistical Analysis , Reading, MA : Addision-Wesley .
  • Brackstone , G.J. 1987 . “ Small Area Data:Policy Issues and Technical Challenges ” . In Small Area Statistics , Edited by: Platek , R. , Rao , J.N.K. , Sarndal , C.E. and Singh , M.P. 3 – 20 . New York : Wiley .
  • Chinchilli , V.M. , Schwab , B.H. and Sen , P.K. 1989 . Inference Based on Ranks for the Multiple-design Multivariate Linear Model . J. Amer. Stat. Assoc. , 84 : 517 – 524 .
  • Datta , G.S. , Fay , R.E. and Ghosh , M. 1991 . “ Hierarchical and Empirical Multivariate Bayes Analysis in Small Area Estimation ” . In Proceeding of the Bureau of the Census Annual Research Conference , 63 – 79 . Washington, DC : Bureau of the Census .
  • Datta , G.S. and Ghosh , R. 1991 . Bayesian Prediction in Linear Models:Applications to Small Area Estimation . The Annals of Stat. , 19 : 1748 – 1770 .
  • Dempster , A.P. , Rubin , D.B. and Tsutakawa , R.K. 1981 . Estimation in Covariance Components Models . J. Amer. Stat. Assoc. , 76 : 341 – 353 .
  • Fay , R.M. and Herriot , R. 1979 . Estimates of Income for Small Places:An Application of James-Stein Procedures to Census Data . J. Amer. Stat. Assoc. , 74 : 269 – 277 .
  • Fuller , W.A. and Harter , R.M. 1987 . “ The Multivariate Components of Variance Model for Small Area Estimation ” . In Small Area Statistics , Edited by: Platek , R. , Rao , J.N.K. , Sarndal , C.E. and Singh , M.P. 103 – 123 . New York : Wily .
  • Gelfand , A.E. and A.M. , Smith . 1990 . Sampling-based Approaches to Calculating Marginal Densities . J. Amer. Stat. Assoc. , 85 ( 410 ) : 398 – 409 .
  • Gelman , A. and Rubin , D.B. 1992 . Inference from Iterative Simulation using Multiple Sequences . Statistical Science , 7 ( 410 ) : 457 – 511 .
  • Geman , S. and Geman , D. 1984 . Stochastic Relaxation, Gibbs Distribution. and the Bayesian Restoration of Images . IEEE Transactions on Pattern Analysis and Mach. Intell. , 6 ( 410 ) : 721 – 741 .
  • Ghosh , M. and Lahiri , P. 1987 . Robust Empirical Bayes Estimation of Means from Stratified Samples . J. Amer. Stat. Assoc. , 82 ( 410 ) : 1153 – 1162 .
  • Ghosh , M. and Lahiri , P. 1992 . “ A Hierarchical Bayes Approach to Small Area Estimation with Auxiliary Information ” . In Bayesian Analysis in Statistics and Econometrics , Edited by: Geol , P.K. and Iyengar , N.S. Vol. 75 , 107 – 125 . Lecture Notes in Statistics .
  • Ghosh , M. and Rao , J.N.K. 1994 . Small Area Estimation:An Appraisal . Statistical Science , 9 : 55 – 93 .
  • Kackar , R.N. and Harville , D.A. 1984 . Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models . J. Amer. Stat. Assoc. , 79 : 853 – 861 .
  • Morris , C. 1983 . Parametric Empirical Bayes Inference:Theory and Applications . J. Amer. Stat. Assoc. , 78 : 47 – 55 .
  • Prasad , N.G.N. and Rao , J.N.K. 1990 . The Estimation of Mean Squared Errors of Small-area Estimators . J. Amer. Stat. Assoc. , 85 : 163 – 171 .
  • Press , S.J. 1982 . Applied Multivariate Analysis:Using Bayesian and Frequentist Methods of Inference , Malabar, Florida : Krieger Pub. Co .
  • Smith , A.F.M. and Roberts , G.O. 1993 . Bayesian Computation via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods . J. Roy. Stat. Soc. , 55 : 3 – 23 .
  • Zellner , A. 1962 . An Efficient Method of Estimating Seemingly Unrelated Regressions and Test for Aggregation Bias . J. Amer Stat. Assoc. , 57 : 348 – 368 .

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