A frequency domain test for isotropy in spatial data models

被引：5

作者：

Santi, Flavio ^{[1
]}

Arbia, Giuseppe ^{[2
]}

Bee, Marco ^{[1
]}

Espa, Giuseppe ^{[1
]}

机构：

[1] Univ Trento, Dept Econ & Management, Via Inama 5, I-38122 Trento, TN, Italy

[2] Univ Cattolica Sacro Cuore, Dept Stat, Lgo Francesco Vito 1, I-00168 Rome, Italy

来源：

SPATIAL STATISTICS | 2017年 / 21卷

关键词：

Areal data; Semiparametric modelling; Directional bias; Fourier analysis; Anisotropy modelling;

D O I：

10.1016/j.spasta.2017.05.002

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

We develop a new methodology for estimating and testing the form of anisotropy of homogeneous spatial processes. We derive a generalised version of the isotropy test proposed by Arbia et al. (2013) and analyse its properties in various settings. Expanding on this, we propose a new testing procedure in the frequency domain that allows one to estimate and test under mild conditions any form of anisotropy in homogeneous spatial processes. The power of the test is studied by means of Monte Carlo simulations performed both on regularly and irregularly spaced data. Finally, the method is used to analyse the soybean yields in the US. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：262 / 278

页数：17

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