Pseudo-empirical Bayes estimation of small area means under a nested error linear regression model with functional measurement errors

Journal of Statistical Planning and Inference

Volumn 140, Issue 11, 2010, Pages 2952-2962

  Datta, Gauri S ^a   Rao, J N K ^b   Torabi, Mahmoud ^c  

^a UNIVERSITY OF GEORGIA   (United States)

^b CARLETON UNIVERSITY   (Canada)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Asymptotic optimality; Bayes risk; Jackknife; Mean squared prediction error; Measurement error; Pseudo empirical Bayes predictor

Indexed keywords

EID: 77954030243     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2010.03.046     Document Type: Article

References (19)

1. Battese G.E., Harter R.M., Fuller W.A. An error-components model for prediction of county crop areas using survey and satellite data. J. Amer. Statist. Assoc. 1988, 83:28-36.
2. Chen, S., Lahiri, P., 2002. On mean squared prediction error estimation in small area estimation problems. In: Proceedings of the Survey Research Methods Section. American Statistical Association, Washington, pp. 473-477.
3. Cochran W.G. Sampling Techniques 1977, Wiley, New York. third ed.
4. Datta G.S. Model-based approach to small area estimation. Handbook of Statistics-Sample Surveys 2009, vol. 29B:251-288. North-Holland, The Netherlands.
5. Fay R.E., Herriot R.A. Estimates of income for small places: an application of James-Stein procedures to census data. J. Amer. Statist. Assoc. 1979, 74:269-277.
6. Fuller W.A. Measurement Error Models 1987, Wiley, New York.
7. Ghosh M., Sinha K., Kim D. Empirical and hierarchical Bayesian estimation in finite population sampling under structural measurement error models. Scand. J. Statist. 2006, 33:591-608.
8. Ghosh M., Sinha K. Empirical Bayes estimation in finite population sampling under functional measurement error models. J. Statist. Plann. Inference 2007, 137:2759-2773.
9. González-Manteiga W., Lombardía M.J., Molina I., Morales D., Santamaria L. Bootstrap mean squared error of a small-area EBLUP. J. Statist. Comput. Simul. 2008, 78:443-462.
10. Hall P., Maiti T. On parametric bootstrap methods for small area prediction. J. Roy. Statist. Soc. Ser. B 2006, 68:221-238.
11. Jiang J., Lahiri P., Wan S.-M. A unified Jackknife theory for empirical best prediction with M-estimation. Ann. Statist. 2002, 30:1782-1810.
12. Jiang J., Lahiri P. Mixed model prediction and small area estimation. Test 2006, 15:1-96.
13. Lohr S.L. Sampling: Design and Analysis 1999, Duxbury, Pacific Grove, California.
14. Prasad N.G.N., Rao J.N.K. The estimation of mean squared error of small-area estimators. J. Amer. Statist. Assoc. 1990, 85:163-171.
15. Rao J.N.K. Small Area Estimation 2003, Wiley, Hoboken, New Jersey.
16. Resnick S.I. A Probability Path 1999, Birkhäuser, Boston.
17. Thompson M.E. Theory of Sample Surveys 1997, Chapman and Hall, London.
18. Torabi M., Datta G.S., Rao J.N.K. Empirical Bayes estimation of small area means under a nested error linear regression model with measurement errors in the covariates. Scand. J. Statist. 2009, 36:355-368.
19. Ybarra L.M.R., Lohr S.L. Small area estimation when auxiliary information is measured with error. Biometrika 2008, 95(4):919-931.