Abstract
Following our presentation at the Platinum Jubilee on “Observed Best Prediction (OBP) for Small Area Counts”, we discuss a connection between OBP and predictive model selection using the fence methods.
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References
Chen, S., Jiang, J., & Nguyen, T. (2015). Observed best prediction for small area counts. Journal Survey Statistical Method, 3, 136–161.
Fay, R. E., & Herriot, R. A. (1979). Estimates of income for small places: An application of James-Stein procedure to census data. Journal of the American Statistical Association, 74, 269–277.
Jiang, J. (2007). Linear and generalized linear mixed models and their applications. New York: Springer.
Jiang, J. (2014) The fence methods. Advances in Statistics, 2014, 1–14. Hindawi Publishing Corp.
Jiang, J., & Lahiri, P. (2006). Mixed model prediction and small area estimation (with discussion). Test, 15, 1–96.
Jiang, J., & Nguyen, T. (2015). The fence methods. Singapore: World Scientific.
Jiang, J., Nguyen, T. & Rao, J. S. (2011). Best predictive small area estimation. Journal of the American Statistical Association, 106, 732–745.
Jiang, J., Rao, J. S., Gu, Z., & Nguyen, T. (2008). Fence methods for mixed model selection. The Annals of Statistics, 36, 1669–1692.
Münnich, R., Burgard, J. P., & Vogt, M. (2009) Small area estimation for population counts in the German Census 2011. In Section on survey research methods. Washington, D.C.: JSM.
Rao, J. N. K. & Molina, I. (2015). Small Area Estimation, 2nd ed., Wiley.
Robinson, G. K. (1991). That BLUP is a good thing: The estimation of random effects (with discussion). Statistical Science, 6, 15–51.
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Nguyen, T., Jiang, J. (2018). A Connection Between the Observed Best Prediction and the Fence Model Selection Method. In: Chattopadhyay, A., Chattopadhyay, G. (eds) Statistics and its Applications. PJICAS 2016. Springer Proceedings in Mathematics & Statistics, vol 244. Springer, Singapore. https://doi.org/10.1007/978-981-13-1223-6_9
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DOI: https://doi.org/10.1007/978-981-13-1223-6_9
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