Small area estimation under unit-level temporal linear mixed models

References

• Deville JC, Särndal CE. Calibration estimators in survey sampling. J Am Stat Assoc. 1992;87(418):376–382. doi: 10.1080/01621459.1992.10475217
   Web of Science ®Google Scholar
• Lehtonen R, Veijanen A. Logistic generalized regression estimators. Surv Methodol. 1998;24(1):51–55.
   Google Scholar
• Särndal CE, Swensson B, Wretman J. Model assisted survey sampling. New York: Springer-Verlag; 1992.
   Google Scholar
• Battese GE, Harter RM, Fuller WA. An error-component model for prediction of county crop areas using survey and satellite data. J Am Stat Assoc. 1988;83:28–36. doi: 10.1080/01621459.1988.10478561
   Web of Science ®Google Scholar
• Fay RE, Herriot RA. Estimates of income for small places: an application of James-Stein procedures to census data. J Amer Statist Assoc. 1979;74:269–277. doi: 10.1080/01621459.1979.10482505
   Web of Science ®Google Scholar
• Rao JNK, Molina I. Small area estimation. 2nd ed. New York: Wiley; 2015.
   Google Scholar
• Choudry GH, Rao JNK. Small area estimation using models that combine time series and cross sectional data. In: Singh AC, Whitridge P, editors. Proceedings of Statistics Canada Symposium on Analysis of Data in Time; 1989. pp. 67–74.
   Google Scholar
• Rao JNK, Yu M. Small area estimation by combining time series and cross sectional data. Can J Stat. 1994;22:511–528. doi: 10.2307/3315407
   Web of Science ®Google Scholar
• Esteban MD, Morales D, Pérez A, et al. Two area-level time models for estimating small area poverty indicators. J Indian Soc Agric Stat. 2012;66(1):75–89.
   Google Scholar
• Esteban MD, Morales D, Pérez A, et al. Small area estimation of poverty proportions under area-level time models. Comput Stat Data Anal. 2012;56:2840–2855. doi: 10.1016/j.csda.2011.10.015
   Web of Science ®Google Scholar
• Marhuenda Y, Molina I, Morales D. Small area estimation with spatio-temporal Fay-Herriot models. Comput Stat Data Anal. 2013;58:308–325. doi: 10.1016/j.csda.2012.09.002
   Web of Science ®Google Scholar
• Morales D, Pagliarella MC, Salvatore R. Small area estimation of poverty indicators under partitioned area-level time models. SORT Stat Oper Res Trans. 2015;39(1):19–34.
   Web of Science ®Google Scholar
• Ghosh M, Nangia N, Kim D. Estimation of median income of four-person families: a Bayesian time series approach. J Am Stat Assoc. 1996;91:1423–1431. doi: 10.1080/01621459.1996.10476710
   Web of Science ®Google Scholar
• You Y, Rao JNK. Hierarchical Bayes estimation of small area means using multi-level models. Surv Methodol. 2000;26:173–181.
   Google Scholar
• Datta GS, Lahiri P, Maiti T. Empirical Bayes estimation of median income of four-person families by state using time series and cross-sectional data. J Stat Plan Inference. 2002;102:83–97. doi: 10.1016/S0378-3758(01)00173-2
   Web of Science ®Google Scholar
• Datta GS, Lahiri P, Maiti T, et al. Hierarchical Bayes estimation of unemployment rates for the U.S. states. J Am Stat Assoc. 1999;94:1074–1082. doi: 10.1080/01621459.1999.10473860
   Web of Science ®Google Scholar
• You Y, Rao JNK, Gambino J. (2001). Model-based unemployment rate estimation for the Canadian Labour Force Survey: a hierarchical approach. Household Survey Method Division. Statistics Canada (Technical report).
   Google Scholar
• Pfeffermann D, Burck L. Robust small area estimation combining time series and cross-sectional data. Surv Methodol. 1990;16:217–237.
   Google Scholar
• Singh AC, Mantel H, Thomas BW. Time series generalizations of Fay-Herriot estimator for small areas. In: Proceedings of Survey Research Methods Section. American Statistical Association; 1991. p. 455–460.
   Google Scholar
• Nissinen K. Small area estimation with linear mixed models from unit-level panel and rotating panel data. University of Jyvaskyla. Department of Mathematics and Statistics; 2009. (Report 117).
   Google Scholar
• Pagliarella MC, Salvatore R. Unit level spatio-temporal models. In: Pratesi M, editor. Analysis of poverty data by small area estimation. Chichester: Wiley; 2016.
   Google Scholar
• Hobza T, Morales D. Empirical best prediction under unit-level logit mixed models. J Off Stat. 2016;32(3):661–692. doi: 10.1515/jos-2016-0034
   Web of Science ®Google Scholar
• Hobza T, Morales D, Santamaría L. Small area estimation of poverty proportions under unit-level temporal binomial-logit mixed models. TEST. 2018;27(2):270–294. doi: 10.1007/s11749-017-0545-3
   Web of Science ®Google Scholar
• Prasad NGN, Rao JNK. The estimation of the mean squared error of small-area estimators. J Am Stat Assoc. 1990;85:163–171. doi: 10.1080/01621459.1990.10475320
   Web of Science ®Google Scholar
• Datta GS, Lahiri P. A unified measure of uncertainty of estimated best linear unbiased predictors in small area estimation problems. Stat Sin. 2000;10:613–627.
   Web of Science ®Google Scholar
• Das K, Jiang J, Rao JNK. Mean squared error of empirical predictor. Ann Stat. 2004;32:818–840. doi: 10.1214/009053604000000201
   Web of Science ®Google Scholar
• González-Manteiga W, Lombardía MJ, Molina I, et al. Estimation of the mean squared error of predictors of small area linear parameters under a logistic mixed model. Comput Stat Data Anal. 2007;51:2720–2733. doi: 10.1016/j.csda.2006.01.012
   Web of Science ®Google Scholar
• González-Manteiga W, Lombardía MJ, Molina I, et al. Bootstrap mean squared error of small-area EBLUP. J Stat Comput Simul. 2008;78:443–462. doi: 10.1080/00949650601141811
   Web of Science ®Google Scholar
• Stukel DM, Rao JNK. On small-area estimation under two-fold nested error regression models. J Stat Plan Inference. 1999;78:131–147. doi: 10.1016/S0378-3758(98)00211-0
   Web of Science ®Google Scholar
• Hall P, Maiti T. Nonparametric estimation of mean-squared prediction error in nested-error regression models. Ann Stat. 2006;34(4):1733–1750. doi: 10.1214/009053606000000579
   Web of Science ®Google Scholar
• Molina I, Rao JNK. Small area estimation of poverty indicators. Can J Stat. 2010;38:369–385. doi: 10.1002/cjs.10051
   Web of Science ®Google Scholar
• Marhuenda Y, Molina I, Morales D, et al. Poverty mapping in small areas under a two-fold nested error regression model. J R Stat Soc Ser A. 2017;180(4):1111–1136. doi: 10.1111/rssa.12306
   Web of Science ®Google Scholar
• Hobza T, Morales D. Small area estimation under random regression coefficient models. J Stat Comput Simul. 2013;83(11):2160–2177. doi: 10.1080/00949655.2012.684094
   Web of Science ®Google Scholar