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Estimation of small area event rates and of the associated standard errors
Authors:Georgios Papageorgiou  Malay Ghosh
Institution:University of Florida, Department of Statistics, 103 Griffin/Floyd Hall - P.O. Box 118545, Gainesville, FL 32611-8545, United States
Abstract:We develop empirical best estimators for small area event rates based on the hierarchical Poisson model with log-normal mixing distribution, when the basic data consists of area level measurements. We derive an approximate expression to the mean squared error of the estimators and we provide a method for estimating this expression.
Keywords:Area level measurements  Count data  Disease mapping  Mean squared error  Optimal estimating equations
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