A composite spatial predictor via local criteria under a misspecified model

Chun Shu Chen, Chao Sheng Chen

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)


Spatial prediction and variable selection for the study area are both important issues in geostatistics. If spatially varying means exist among different subareas, globally fitting a spatial regression model for observations over the study area may be not suitable. To alleviate deviations from spatial model assumptions, this paper proposes a methodology to locally select variables for each subarea based on a locally empirical conditional Akaike information criterion. In this situation, the global spatial dependence of observations is considered and the local characteristics of each subarea are also identified. It results in a composite spatial predictor which provides a more accurate spatial prediction for the response variables of interest in terms of the mean squared prediction errors. Further, the corresponding prediction variance is also evaluated based on a resampling method. Statistical inferences of the proposed methodology are justified both theoretically and numerically. Finally, an application of a mercury data set for lakes in Maine, USA is analyzed for illustration.

頁(從 - 到)341-355
期刊Stochastic Environmental Research and Risk Assessment
出版狀態已出版 - 1 2月 2018


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