Some New Random Field Tools for Spatial Analysis

2008/05/07 by Adler, Robert J
#60G15 #60G35 #62D05 #62M39 #62M40 #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.0805.1031

Abstract

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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