Design-based properties of the nearest neighbor spatial interpolator and its bootstrap mean squared error estimator
| Autor: | Marzia Marcheselli, Lorenzo Fattorini, Caterina Pisani, Luca Pratelli |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Statistics and Probability
Mean squared error 01 natural sciences General Biochemistry Genetics and Molecular Biology k-nearest neighbors algorithm Multivariate interpolation Root mean square environmental sampling 010104 statistics & probability 03 medical and health sciences Consistency (statistics) Statistics pointwise consistency pseudopopulation bootstrap spatial populations uniform consistency Computer Simulation 0101 mathematics 030304 developmental biology Mathematics Pointwise 0303 health sciences Spatial Analysis General Immunology and Microbiology Applied Mathematics Perspective (graphical) Estimator General Medicine General Agricultural and Biological Sciences |
| Popis: | Nearest neighbor spatial interpolation for mapping continuous populations and finite populations of areas or units is approached from a design-based perspective, that is, populations are fixed, and uncertainty stems from the sampling scheme adopted to select locations. We derive conditions for design-based pointwise and uniform consistency of the nearest neighbor interpolators. We prove that consistency holds under certain schemes that are widely applied in environmental and forest surveys. Furthermore, we propose a pseudopopulation bootstrap estimator of the root mean squared errors of the interpolated values. Finally, a simulation study is performed to assess the theoretical results. |
| Databáze: | OpenAIRE |
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