On a Linear Functional Mixed Effect Model for Spatial Data

Autor:	Jeorge Mateu, Roya Nasirzadeh, Ahmad Reza Soltani
Rok vydání:	2019
Předmět:	Statistics and Probability Mixed model spatial functional random variable Karhunen-Loeve expansions Linear form Applied mathematics spatial functional mixed effect models universal kriging functional principal components Spatial analysis Mathematics
Zdroj:	Repositori Universitat Jaume I Universitat Jaume I
Popis:	This paper introduces a functional mixed effect random model to model spatial data. In this model, the spatial locations form the index set, while the contributing effects to the response variable are set as a linear mixture of fixed and random effects. These fixed and random effects are linear combinations of L2 functions and random elements, respectively. However, the corresponding linear factors depend on the spatial location variable. Therefore, we develop estimation procedures to estimate the fixed and random coefficients, using spatial functional principal component analysis. Then, we perform prediction by adapting the functional universal kriging method to our model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d8e582cf0657f4fed931894b77795f8 http://hdl.handle.net/10234/185374 Zobrazit plný text záznamu