Abstract
The behaviour of a stationary random field can be specified through either its covariance or spectrum. In spatial statistics, the Matérn covariance or spectral density is one of the most popular choices due to separation of scale and smoothness effects. We propose a generalization of the Matérn spectral density, generating random processes we term as modified Matérn processes. Our proposal allows for two additional parameters that can loosely be interpreted as arising from a continuous moving average process. The Matérn is a special case under certain parameter restrictions. We illustrate the flexibility of the modified Matérn in an application on an ocean model simulation. Copyright © 2017 John Wiley & Sons, Ltd.
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