Non‐parametric small area estimation using penalized spline regression

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Best Predictive Small Area Estimation (2011, background): “One may also consider nonparametric models (e.g., Opsomer et al. 2008) that are less restrictive than parametric ones.”
From start to finish: a framework for the production of small area official statistics (2018, background): “…et al., 2008; Sinha and Rao, 2009; Chambers et al., 2014; Fabrizi et al., 2014), models with non-parametric instead of linear signal specification (Opsomer et al., 2008; Ugarte et al., 2009) and models that extend the covariance structure of the model by allowing for spatially correlated domain…”
Semiparametric inference in generalized mixed effects models (2008, background): “Opsomer et al. (2008) proposed a restricted likelihood ratio test for small area effects and non-linearities with splines, following the ideas of Claeskens (2004).”