Simultaneous credible intervals for small area estimation problems

Journal of Multivariate Analysis

Volumn 100, Issue 8, 2009, Pages 1610-1621

  Ganesh, N ^a  

^a National Opinion Research Center   (United States)

Author keywords

Hierarchical Bayes; Simultaneous credible intervals; Small area estimation

Indexed keywords

EID: 67349200931     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2009.01.009     Document Type: Article

References (27)

1. Rao J.N.K. Small Area Estimation (2003), Wiley, New York
2. Longford N.T. Missing Data and Small Area Estimation (2005), Springer, New York
3. Pfeffermann D. Small area estimation - New developments and directions. Int. Statist. Rev. 70 (2002) 125-143
4. Rao J.N.K. Inferential issues in small area estimation: Some new developments. Statist. Transit. 7 (2005) 513-526
5. Jiang J., and Lahiri P. Mixed model prediction and small area estimation (with discussions). Test 15 1 (2006) 1-96
6. Ghosh M., and Meeden G. Bayesian Methods for Finite Population Sampling (1997), Chapman and Hall, London
7. Jiang J. Empirical best prediction for small area inference based on generalized linear mixed models. J. Statist. Plan. Inference 111 (2003) 117-127
8. Jiang J., and Lahiri P. Estimation of finite population domain means: A model assisted empirical best prediction approach. J. Amer. Statist. Assoc. 101 (2006) 301-311
9. Neter J., Kutner M.H., Wasserman W., and Nachtsheim C.J. Applied Linear Statistical Models (1996), McGraw-Hill, New York
10. Benjamini Y., and Hochberg Y. Controlling the false discovery rate: A practical and powerful approach to multiple testing. J. Roy. Statist. Soc. B 57 (1995) 289-300
11. Berry D.A., and Hochberg Y. Bayesian perspectives on multiple comparisons. J. Statist. Plan. Inference 82 (1999) 215-227
12. Scott J.G., and Berger J.O. An exploration of aspects of Bayesian multiple testing. J. Statist. Plan. Inference 136 (2006) 2144-2162
13. Westfall P.H., Johnson W.O., and Utts J.M. A Bayesian perspective on the Bonferroni adjustment. Biometrika 84 (1997) 419-427
14. Hochberg Y., and Tamhane A.C. Multiple Comparison Procedures (1987), John Wiley & Sons, New York
15. Miller Jr. R.G. Simultaneous Statistical Inference (1991), Springer-Verlag, New York
16. Morris C.N., and Christiansen C.L. Hierarchical models for ranking and for identifying extremes with applications. Bayes Statistics vol. 5 (1995), Oxford University Press, Oxford
17. Fay R.E., and Herriot R.A. Estimates of income for small places: An application of James-Stein procedures to census data. J. Amer. Statist. Assoc. 74 (1979) 269-277
18. Wolter K. Introduction to Variance Estimation (1985), Springer-Verlag, New York
19. Cressie N. REML estimation in empirical Bayes smoothening of census undercount. Surv. Methodol. 18 (1992) 75-94
20. Dick P. Modelling net undercoverage in the 1991 census. Surv. Methodol. 21 (1995) 45-54
21. Efron B., and Morris C. Data analysis using Stein's estimator and its generalizations. J. Amer. Statist. Assoc. 70 (1975) 311-319
22. Carter G.M., and Rolph J.E. Empirical Bayes methods applied to estimating fire alarm probabilities. J. Amer. Statist. Assoc. 69 (1974) 880-885
23. Berger J. Statistical Decision Theory and Bayesian Analysis. 2nd ed. (1985), Springer-Verlag, New York
24. Morris C.N. Parametric empirical Bayes confidence intervals. Proceeding on the Conference on Scientific Inference, Data Analysis and Robustness (1983), Academic Press, New York 25-50
25. Ganesh N., and Lahiri P. A new class of average moment matching priors. Biometrika 95 (2008) 514-520
26. Robert C.P., and Casella G. Monte Carlo Statistical Methods (1999), Springer, New York
27. Datta G.S., Rao J.N.K., and Smith D.D. On measuring the variability of small area estimators under a basic area level model. Biometrika 92 (2005) 183-196