A BLUP synthetic versus an EBLUP estimator: An empirical study of a small area estimation problem

Journal of Applied Statistics

Volumn 34, Issue 2, 2007, Pages 153-165

  Militino, A F ^a   Ugarte, M D ^a   Goicoa, T ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Business survey; Finite population; Mean squared error; Mixed models; Prediction theory

Indexed keywords

EID: 34547435714     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760600994893     Document Type: Article

References (18)

1. Battese, G. E., Harter, R. M. and Fuller, W. A. (1988) An error-components model for prediction of country crop areas using survey and satellite data. Journal of the American Statistical Association, 83, pp. 28-36.
2. Binder, D. A. and Roberts, G. R. (2003) Design-based and model-based methods for estimating model parameters. Analysis of Survey Data, Wiley Series in Survey Methodology
3. Demidenko, E. (2004) Mixed Models. Theory and Applications, Wiley Series in Probability and Statistics
4. Farrell, P. J., MacGibbon, B. and Tomberlin, T. J. (1997) Empirical Bayes small-area estimation using logistic regression models and summary statistics. Journal of Business & Economics Statistics, 15, pp. 101-108.
5. Fay, R. E. and Harriot, R. A. (1979) Estimation of income from small places: An application of James-Stein procedures to census data. Journal of the American Statistical Association, 74, pp. 269-277.
6. Ghosh, M., Nangia, N. and Kim, D. (1996) Estimation of median-income of four-person families: A Bayesian time series approach. Journal of the American Statistical Association, 91, pp. 1423-1431.
7. Ghosh, M. and Rao, J. N. K. (1994) Small area estimation: An appraisal. Statistical Science, 9, pp. 55-93.
8. Golfeld, M. and Quandt, R. E. (1972) Nonlinear Methods in Econometrics. North-Holland, Amsterdam
9. Pfeffermann, D. (2002) Small area estimation. New developments and directions. International Statistical Review, 70, pp. 125-143.
10. Pfeffermann, D. and Barnard, C. H. (1991) Some new estimators for small-area means with application to the assessment of farmland values. Journal of Business & Economics Statistics, 9, pp. 73-84.
11. Pfeffermann, D., Feder, M. and Signorelli, D. (1998) Estimation of survey errors with application to trend estimation in small areas. Journal of Business & Economics Statistics, 16, pp. 339-348.
12. Prasad, N. G. N. and Rao, J. N. K. (1990) The estimation of mean squared error of small area estimators. Journal of the American Statistical Association, 85, pp. 163-171.
13. Rao, J. N. K. (2003) Small Area Estimation, Wiley Series in Survey Methodology
14. Searle, S. R., Casella, G. and McCullogh, C. E. (1992) Variance Components, Wiley Series in Probability and Statistics
15. Stasny, E., Goel, P. K. and Rumsey, D. J. (1991) County estimates of wheat production. Survey Methodology, 17, pp. 211-225.
16. Stukel, D. M. (1991) Small area estimation under one and two-fold nested error regression model.
17. Stukel, D. M. and Rao, J. N. K. (1997) Estimation of regression models with nested error structure and unequal error variances under two and three stage cluster sampling. Statistics and Probability Letters, 35, pp. 401-407.
18. Valliant, R., Dorfman, A. H. and Royall, R. M. (2000) Finite Population Sampling and Inference, Wiley Series in Probability and Statistics