We present nonparametric method for data distributed over complex spatial domains. In particular, we consider hypothesis testing procedures in the case of spatial regression models with dif- ferential regularization. We also consider a nonparametric penalized likelihood approach to density estimation over planar domains with complex geometry. The model formulation is based on a regular- ization with differential operators and it is made computationally tractable by means of finite element method. The performances of the proposed methods are presented through extended simulation studies.
Analysis of Data Over Complex Regions
Ferraccioli F.;
2019-01-01
Abstract
We present nonparametric method for data distributed over complex spatial domains. In particular, we consider hypothesis testing procedures in the case of spatial regression models with dif- ferential regularization. We also consider a nonparametric penalized likelihood approach to density estimation over planar domains with complex geometry. The model formulation is based on a regular- ization with differential operators and it is made computationally tractable by means of finite element method. The performances of the proposed methods are presented through extended simulation studies.
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