1 - 8 of 8 Chapters
[The term ‘small area’ or ‘small domain’ refers to a small geographical region such as a county, municipality or state, or a small demographic group such as a specific age–sex–race group. In the estimation of a characteristic of such a small group, the direct estimate based on only on the data...
[Linear mixed models are widely used in a variety of scientific areas such as small area estimation (Rao and Molina 2015), longitudinal data analysis (Verbeke and Molenberghs 2006), and meta-analysis (Boreinstein et al. 2009), and estimation of variance components plays an essential role in...
[An important aspect of small area estimation is the assessment of accuracy of the predictors. Under the frequentist approach, this will be complicated due to the additional fluctuation induced by estimating unknown parameters in models. We here focus on two methods that are widely adopted in...
[Statistical inference in the general linear mixed models is explained in the previous chapters. As basic models used in small area estimation, in this chapter, we treat two most standard models, known as the Fay–Herriot model and the nested error regression model, which have been extensively...
[It is important to find and select significant variables in regression in the linear mixed models.]
[In Chap. 4, we introduced two famous small area models, Fay–Herriot and nested error regression models, and provided basic theory of parameter estimation and EBLUP.]
[As introduced in Chap. 4, the basic small area models are based on normality assumption for the response variables.]
[The flexibility of the two basic small area models described in Chap. 4 can be limited for practical applications.]
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