Journal of the Iranian Statistical Society

On a Linear Functional Mixed Effect Model for Spatial Data

Authors

1 Department of Statistics, Faculty of Science, Fasa University, Fasa, Iran.

2 University Jaume I of Castellon, Spain.

3 Kuwait University and Shiraz University,

10.29252/jirss.18.2.115

Abstract

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.

Keywords

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Journal of the Iranian Statistical Society
Volume 18, Issue 2
December 2019
Pages 115-137
  • Receive Date: 23 July 2022
  • Revise Date: 13 May 2024
  • Accept Date: 23 July 2022