The Mean Squared Error of Small Area Predictors Constructed With Estimated Area Variances

By Junyuan Wang, Wayne A. Fuller. 2003

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Small area estimation in the presence of correlated random area effects (2009, background): “Usually wi is unknown and is estimated by a “generalized variance function” applied not only to the specific area sample, but to the whole sample as well; for details see Wolter (1985, Chapter 5) and Wang and Fuller (2003).”
On parametric bootstrap methods for small area prediction (2006, methodology): “See Nusser and Goebel (1997) and Wang and Fuller (2003) for background and discussion of the data.”
Nonparametric estimation of mean-squared prediction error in nested-error regression models (2005, unknown): “The extent of overestimation evidenced in Tables 1 and 2 is common in work on bias-correction in related problems; see the simulation results of [24, 27, 32].”
Small Area Shrinkage Estimation (2012, methodology): “In practice, V is a sort of smoothed estimate, for example, using the generalized variance function approach; see, for example, Wolter (1985) or Otto and Bell (1995).”