Journal article
Spectral Methods for Nonstationary Spatial Processes
Biometrika, Vol.89(1), pp.197-210
0
03/01/2002
DOI: 10.1093/biomet/89.1.197
Abstract
We propose a nonstationary periodogram and various parametric approaches for estimating the spectral density of a nonstationary spatial process. We also study the asymptotic properties of the proposed estimators via shrinking asymptotics, assuming the distance between neighbouring observations tends to zero as the size of the observation region grows without bound. With this type of asymptotic model we can uniquely determine the spectral density, avoiding the aliasing problem. We also present a new class of nonstationary processes, based on a convolution of local stationary processes. This model has the advantage that the model is simultaneously defined everywhere, unlike 'moving window' approaches, but it retains the attractive property that, locally in small regions, it behaves like a stationary spatial process. Applications include the spatial analysis and modelling of air pollution data provided by the US Environmental Protection Agency.
Details
- Title: Subtitle
- Spectral Methods for Nonstationary Spatial Processes
- Creators
- Montserrat Fuentes - University of Iowa, Provost Office Administration
- Resource Type
- Journal article
- Publication Details
- Biometrika, Vol.89(1), pp.197-210
- Event
- 0
- Publisher
- Oxford Publishing Limited(England); Oxford
- DOI
- 10.1093/biomet/89.1.197
- ISSN
- 0006-3444
- eISSN
- 1464-3510
- Language
- English
- Date published
- 03/01/2002
- Academic Unit
- Biostatistics; Provost Office Administration; Statistics and Actuarial Science
- Record Identifier
- 9983756684702771
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