A Small Area Predictor under Area-Level Linear Mixed Models with Restrictions

References

• Battese , G. E. , Harter , R. M. , Fuller , W. A. ( 1988 ). An error components model for prediction of county crop areas using survey and satellite data . J. Amer. Statist. Assoc. 83 : 28 – 36 .
   Web of Science ®Google Scholar
• Butar , F. B. , Lahiri , P. ( 2003 ). On measures of uncertainty of empirical Bayes small area estimators . J. Statist. Plann. Infer. 112 : 63 – 76 .
   Web of Science ®Google Scholar
• Das , K. , Jiang , J. , Rao , J. N. K. ( 2004 ). Mean squared error of empirical predictor . Ann. Statist. 32 : 818 – 840 .
   Web of Science ®Google Scholar
• Datta , G. S. , Lahiri , P. ( 2000 ). A unified measure of uncertainty of estimated best linear unbiased predictors in small area estimation problems . Statistica Sinica 10 : 613 – 627 .
   Web of Science ®Google Scholar
• Girouard , N. , Blöndal , S. ( 2001 ). House prices and economic activity. Working Paper No 279. Economics Department, Organisation for Economic Co-operation and Development .
   Google Scholar
• Ghosh , M. , Rao , J. N. K. ( 1994 ). Small area estimation: an appraisal . Statist. Sci. 9 : 55 – 93 .
   Web of Science ®Google Scholar
• Greene , W. ( 1997 ). Econometric Analysis. , 3rd ed. New Jersey : Prentice Hall .
   Google Scholar
• Harville , D. A. , Jeske , D. R. ( 1992 ). Mean squared error of estimation or prediction under a general linear model . J. Amer. Statist. Assoc. 87 : 724 – 731 .
   Web of Science ®Google Scholar
• Henderson , C. R. ( 1953 ). Estimation of variance and covariance components . Biometrics 9 : 226 – 252 .
   Web of Science ®Google Scholar
• Henderson , C. R. ( 1975 ). Best linear unbiased estimation and prediction under a selection model . Biometrics 31 : 423 – 447 .
   PubMed Web of Science ®Google Scholar
• Isaki , C. T. , Tsay , J. H. , Fuller , W. A. ( 2000 ). Estimation of census adjusted factors . Surv. Methodol. 26 ( 1 ): 31 – 42 .
   Google Scholar
• Jiang , J. ( 2007 ). Linear and Generalized Linear Mixed Models and Their Applications . New York : Springer .
   Google Scholar
• Jiang , J. , Lahiri , P. , Wan , S.-M. ( 2002 ). A unified jackknife theory for empirical best prediction with M-estimation . Ann. Statist. 30 : 1782 – 1810 .
   Web of Science ®Google Scholar
• Kackar , R. N. , Harville , D. A. ( 1981 ). Unbiasedness of two-stage estimation and prediction procedures for mixed linear models . Commun. Statist. Theor. Meth. 10 : 1249 – 1261 .
   Web of Science ®Google Scholar
• Kackar , R. N. , Harville , D. A. (1984). Approximations for standard errors of estimators of fixed and random effects in mixed linear models. J. Amer. Statist. Assoc. 79:853–862.
   Web of Science ®Google Scholar
• Pfeffermann , D. ( 1984 ). On extensions for the Gauss-Markov Theorem to the case of stochastic regression coefficients . J. Roy. Statist. Soc. Ser. B 46 : 139 – 148 .
   Google Scholar
• Pfeffermann , D. , Barnard , C. H. ( 1991 ). Some new estimators for small-area means with application to the assessment of farmland values . J. Bus. Econ. Statist. 9 ( 1 ): 73 – 84 .
   Web of Science ®Google Scholar
• Pfeffermann , D. , Tiller , R. B. ( 2005 ). Bootstrap approximation to prediction MSE for state-space models with estimated parameters . J. Time Ser. Anal. 26 : 893 – 816 .
   Web of Science ®Google Scholar
• Pfeffermann , D. , Tiller , R. B. ( 2006 ). Small area estimation with state space models subject to benchmark constraints . J. Amer. Statist. Assoc. 101 : 1387 – 397 .
   Web of Science ®Google Scholar
• Prasad , N. G. N. , Rao , J. N. K. ( 1990 ). The estimation of the mean squared error of small-area estimators . J. Amer. Statist. Assoc. 85 : 163 – 171 .
   Web of Science ®Google Scholar
• Rao , J. N. K. ( 2003 ). Small Area Estimation . Hoboken , NJ : John Wiley & Sons .
   Google Scholar
• Rao , J. N. K. , Yu , M. ( 1994 ). Small-area estimation by combining time-series and cross-sectional data . Can. J. Statist. 22 ( 4 ): 511 – 528 .
   Web of Science ®Google Scholar
• Ugarte , M. D. , Militino , A. F. , Goicoa , T. ( 2009 ). Benchmarked estimates in small areas using linear mixed models with restrictions . Test 18 ( 2 ): 342 – 364 .
   Web of Science ®Google Scholar
• Wang , J. , Fuller , W. A. , Qu , Y. ( 2008 ). Small area estimation under a restriction . Surv. Methodol. 34 ( 1 ): 29 – 36 .
   Web of Science ®Google Scholar
• You , Y. , Rao , J. N. K. ( 2002 ). A pseudo-empirical best linear unbiased prediction approach to small area estimation using survey weights . Can J. Statist. 30 ( 3 ): 431 – 439 .
   Web of Science ®Google Scholar