Nonstationary covariance models for global data

Details Nonstationary covariance models for global data Nonstationary covariance models for global data

2009-01-26

arxiv.org/abs/0901.3980v1

Annals of Applied Statistics 2008, Vol. 2, No. 4, 1271-1289

Statistics

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Published in at http://dx.doi.org/10.1214/08-AOAS183 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Ins

Scientific paper

10.1214/08-AOAS183

With the widespread availability of satellite-based instruments, many geophysical processes are measured on a global scale and they often show strong nonstationarity in the covariance structure. In this paper we present a flexible class of parametric covariance models that can capture the nonstationarity in global data, especially strong dependency of covariance structure on latitudes. We apply the Discrete Fourier Transform to data on regular grids, which enables us to calculate the exact likelihood for large data sets. Our covariance model is applied to global total column ozone level data on a given day. We discuss how our covariance model compares with some existing models.

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