Modified half-region depth for spatially dependent functional data

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• 作者：Antonio Balzanella ; Elvira Romano…
• 关键词：Georeferenced functional data ; Depth functions ; Spatial dependence ; Geostatistics
• 刊名：Stochastic Environmental Research and Risk Assessment
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：31
• 期：1
• 页码：87-103
• 全文大小：
• 刊物类别：Earth and Environmental Science
• 刊物主题：Math. Appl. in Environmental Science; Earth Sciences, general; Probability Theory and Stochastic Processes; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Computa
• 出版者：Springer Berlin Heidelberg
• ISSN：1436-3259
• 卷排序：31

文摘

In this paper, we address the problem of getting order statistics for georeferenced functional data by means of depth functions. To reach this aim, we introduce the concept of spatial dispersion function for functional data in a specific location of the geographic space. Then we generalize the notion of modified half-region depth to spatial dispersion functions. Through the use of spatial dispersion functions we show how the data ordering criterion depends not only on the functional but also on the spatial component. The proposal is applied to two wide simulation studies and to real data coming from sensors.