Small-Area Estimation with Zero-Inflated Data – a Simulation Study

Bafumi, J. and A. Gelman. 2006. “Fitting Multilevel Models When Predictors and Group Effects Correlate.” Manuscript prepared for the 2006 Annual Meeting of the Midwest Political Science Association, Chicago. DOI: http://dx.doi.org/10.2139/ssrn.1010095.10.2139/ssrn.1010095Search in Google Scholar

Bates, D., M. Mächler, B. Bolker, and S. Walker. 2015. “Fitting Linear Mixed-Effects Models Using lme4.” Journal of Statistical Software 67(1). Doi: http://dx.doi.org/10.18637/jss.v067.i01.10.18637/jss.v067.i01Search in Google Scholar

Battese, G., R. Harter, and W. Fuller. 1988. “An Error-Components Model for Prediction of County Crop Areas Using Survey and Satellite Data.” Journal of the American Statistical Association 83: 28-36. Doi: http://dx.doi.org/10.2307/2288915.10.2307/2288915Search in Google Scholar

Boonstra, H., J. van den Brakel, B. Buelens, S. Krieg, and M. Smeets. 2008. “Towards Small Area Estimation at Statistics Netherlands.” Metron LXVI (1): 21-49. Available at: https://www.researchgate.net/profile/Jan_Brakel/publication/227458249_Towards_small_area_estimation_at_Statistics_Netherlands/links/0c96052f8fdda8aedd000000.pdf.Search in Google Scholar

Chambers, R. and N. Tzavidis. 2006. “M-Quantile Models for Small Area Estimation.” Biometrika 93: 255-268. Doi: http://dx.doi.org/10.1093/biomet/93.2.255.10.1093/biomet/93.2.255Search in Google Scholar

Chandra, H. and R. Chambers. 2011a. “Small Area Estimation for Skewed Data in Presence of Zeros.” The Bulletin of Calcutta Statistical Association 63: 249-252.10.1177/0008068320110113Search in Google Scholar

Chandra, H. and R. Chambers. 2011b. “Small Area Estimation under Transformation to Linearity.” Survey Methodology 37: 39-51.Search in Google Scholar

Chandra, H. and U. Sud. 2012. “Small Area Estimation for Zero-Inflated Data.” Communications in Statistics - Simulation and Computation 41: 632-642. Doi: http://dx.doi.org/10.1080/03610918.2011.598991.10.1080/03610918.2011.598991Search in Google Scholar

Dreassi, E., A. Petrucci, and E. Rocco. 2012. “Small Area Estimation for Semicontinuous Skewed Georeferenced Data.” Technical Report Working paper 2012/05, Dipartimento di Statistica “G. Parenti”, Florence. Available at: http://local.disia.unifi.it/ricerca/pubblicazioni/working_papers/2012/wp2012_05.pdf.Search in Google Scholar

Eurarea. 2004. Project Reference Volume, deliverable d7.1.4. Technical report, EURAREA consortium.Search in Google Scholar

Gelfand, A. and A. Smith. 1990. “Sampling Based Approaches to Calculating Marginal Densities.” Journal of the American Statistical Association 85: 398-409. Doi: http://dx.doi.org/10.1080/01621459.1990.10476213.10.1080/01621459.1990.10476213Search in Google Scholar

Gelman, A. 2006. “Prior Distributions for Variance Parameters in Hierarchical Models.” Bayesian Analysis 1: 515-534. Doi: http://dx.doi.org/10.1214/06-BA117A.10.1214/06-BA117ASearch in Google Scholar

Gelman, A., D.V. Dyk, Z. Huang, and W. Boscardin. 2008. “Using Redundant Parameterizations to Fit Hierarchical Models.” Journal of Computational and Graphical Statistics 17: 95-122. Doi: http://dx.doi.org/10.1198/106186008X287337.10.1198/106186008X287337Search in Google Scholar

Geman, S. and D. Geman. 1984. “Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images.” IEEE Transactions on Pattern Analysis and Machine Intelligence 6: 721-741. Doi: http://dx.doi.org/10.1109/TPAMI.1984.4767596.10.1109/TPAMI.1984.4767596Search in Google Scholar

Hadfield, J.D. 2010. “Mcmc Methods for Multi-Response Generalized Linear Mixed Models: The MCMCglmm R Package.” Journal of Statistical Software 33: 1-22. Doi: http://dx.doi.org/10.18637/jss.v033.i02.10.18637/jss.v033.i02Search in Google Scholar

Neuhaus, J. and C. McCulloch. 2006. “Separating Between- and Within-Cluster Covariate Effects by Using Conditional and Partitioning Methods.” Journal of the Royal Statistical Society B 68: 859-872. Doi: http://dx.doi.org/10.1111/j.1467-9868.2006.00570.x.10.1111/j.1467-9868.2006.00570.xSearch in Google Scholar

Pfeffermann, D., B. Terryn, and F. Moura. 2008. “Small Area Estimation under a Two Part Random Effects Model with Application to Estimation of Literacy in Developing Countries.” Survey Methodology 34: 67-72.Search in Google Scholar

Plummer, M., N. Best, K. Cowles, and K. Vines. 2006. “Coda: Convergence Diagnosis and Output Analysis for mcmc.”RNews 6: 7-11. Available at: http://oro.open.ac.uk/id/eprint/22547 (accessed 13 October, 2016).Search in Google Scholar

R Development Core Team. 2009. R: A Language and Environment for Statistical Computing. Technical Report, R Foundation for Statistical Computing, Vienna. Available at: http://www.R-project.org. (accessed 13 October, 2016).Search in Google Scholar

Rao, J.N.K. 2003. Small Area Estimation. New York: John Wiley.10.1002/0471722189Search in Google Scholar

Särndal, C., B. Swensson, and J. Wretman. 1992. Model Assisted Survey Sampling. New York: Springer Verlag.10.1007/978-1-4612-4378-6Search in Google Scholar

Sinha, S.K. and J.N.K. Rao. 2009. “Robust Methods for Small Area Estimation.” Canadian Journal of Statistics 37: 381-399. Doi: http://dx.doi.org/10.1002/cjs.10029.10.1002/cjs.10029Search in Google Scholar

Woodruff, R. 1966. “Use of a Regression Technique to Produce Area Breakdowns of the Monthly National Estimates of Retail Trade.” Journal of the American Statistical Association 61: 496-504. Doi: http://dx.doi.org/10.2307/2282839.10.1080/01621459.1966.10480885Search in Google Scholar