Empirical best prediction for small-area inference based on generalized linear mixed models

Journal of Statistical Planning and Inference

Volumn 111, Issue 1-2, 2003, Pages 117-127

  Jiang, Jiming ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

Asymptotics; Empirical best predictor; Method of moments; MSE; Small area estimation

Indexed keywords

EID: 0037290169     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00293-8     Document Type: Article

References (17)

1. Booth, J.G., Hobert, J.P., 1998. Standard errors of predictors in generalized linear mixed models. J. Amer. Statist. Assoc. 93, 262-272.
2. Butar, F., Lahiri, P., 1997. On the measures of uncertainty of empirical Bayes small-area estimators. Technical Report, Division of Statistics, Univ. of Nebraska-Lincoln.
3. Cochran, W.G., 1977. Sampling Techniques, 3rd Edition. Wiley, New York.
4. Efron, B., Morris, C., 1973. Stein's estimation rule and its competitors - an empirical Bayes approach. J. Amer. Statist. Assoc. 68, 117-130.
5. Farrell, P.J., MacGibbon, B., Tomberlin, T.J., 1997. Bootstrap adjustments for empirical Bayes interval estimates of small-area proportions. Canad. J. Statist. 25, 75-89.
6. Fuller, W.A., 1990. Prediction of true values for the measurement error model. Contemp. Math. 112, 41-57.
7. Ghosh, M., Rao, J.N.K., 1994. Small area estimation: an appraisal (with discussion). Statist. Sci. 9, 55-93.
8. Ghosh, M., Natarajan, K., Stroud, T.W.F., Carlin, B.P., 1998. Generalized linear models for small-area estimation. J. Amer. Statist. Assoc. 93, 273-282.
9. Gonzalez, M.E., 1973. Use and evaluation of synthetic estimators. In: Proceedings of the Social Statistics Section, Amer. Statist. Assoc., Washington, DC, pp. 33-36.
10. Holt, D., Smith, T.M.F., Tomberlin, T.J., 1979. A model-based approach to estimation for small subgroups of a population. J. Amer. Statist. Assoc. 74, 405-410.
11. Jiang, J., 1998. Consistent estimators in generalized linear mixed models. J. Amer. Statist. Assoc. 93, 720-729.
12. Jiang, J., Lahiri, P., 2001. Empirical best prediction for small area inference with binary data. Ann. Inst. Statist. Math. 53, 217-243.
13. Lahiri, P., Rao, J.N.K., 1995. Robust estimation of mean squared error of small area estimators. J. Amer. Statist. Assoc. 90, 758-766.
14. Laird, N.M., Louis, T.A., 1987. Empirical Bayes confidence intervals based on bootstrap samples. J. Amer. Statist. Soc. 82, 739-757.
15. Malec, D., Sedransk, J., Moriarity, C.L., LeClere, F.B., 1997. Small area inference for binary variables in the national health interview survey. J. Amer. Statist. Assoc. 92, 815-826.
16. McCullagh, P., Nelder, J.A., 1989. Generalized Linear Models. Chapman & Hall, London.
17. 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.