Robustness in spatial studies I: minimax prediction

• Published in: Environmetrics (London, Ont.) Vol. 16; no. 2; pp. 191 - 203
• Main Author: Wiens, Douglas P.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.03.2005; Wiley
• Subjects: Animal, plant and microbial ecology; Biological and medical sciences; computer experiments; Earth sciences; Earth, ocean, space; Engineering and environment geology. Geothermics; environmental monitoring; Exact sciences and technology; Fundamental and applied biological sciences. Psychology; General aspects. Techniques; generalized M-estimation; isotropic; kriging; M-estimate; Methods and techniques (sampling, tagging, trapping, modelling...); minimax; Pollution, environment geology; models; Introduced species; simulation; prediction; covariance; stochastic processes; errors

We develop and test robust methods for estimation and for prediction in spatial studies. We assume that a stochastic process is measured, with error, at various locations. The variance/covariance structures of this process and of the measurement errors are only approximately known; in the face of th...