TY - JOUR
T1 - On a Linear Functional Mixed Effect Model for Spatial Data
TT -
JF - JIRSS
JO - JIRSS
VL - 18
IS - 2
UR - http://jirss.irstat.ir/article-1-490-en.html
Y1 - 2019
SP - 115
EP - 137
KW - Functional Principal Components
KW - Karhunen-Loeve Expansions
KW - Spatial Functional Mixed Effect Models
KW - Spatial Functional Random Variable
KW - Universal Kriging.
N2 - 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.
M3 10.29252/jirss.18.2.115
ER -