Some New Random Field Tools for Spatial Analysis

Details Some New Random Field Tools for Spatial Analysis Some New Random Field Tools for Spatial Analysis

2008-05-07

arxiv.org/abs/0805.1031v1

Mathematics

Probability

14 pages, 5 figures

Scientific paper

This is a brief review, in relatively non-technical terms, of recent advances in the theory of random field geometry. These advances have provided a collection of explicit new formulae describing mean values of a variety of geometric characteristics of excursion sets of random fields. As well as a review of the theory, we provide brief descriptions of some of the more interesting applications.

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