1. On the estimation of the spectral density for continuous spatial processes.
- Author
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Crujeiras, RosaM. and Fernández-Casal, Rubén
- Subjects
- *
ESTIMATION theory , *SPECTRAL energy distribution , *CONTINUOUS processing , *ASYMPTOTES , *NONPARAMETRIC statistics , *KERNEL functions , *ANALYSIS of covariance , *SIMULATION methods & models - Abstract
In this work, we study the asymptotic properties of smoothed nonparametric kernel spectral density estimators for the spatial spectral density. We consider the case of continuous stationary spatial processes under a shrinking asymptotic framework. Expressions for the bias and the covariance structure are obtained and the implications for the edge effect bias of the choice of the kernel, bandwidth and spacing parameter in the design are also discussed, both for tapered and untapered estimates. Results are illustrated with a simulation study. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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