Asymptotic analysis of simultaneous damages in spatial Boolean models

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)139-154
Journal / PublicationAnnals of Operations Research
Volume212
Issue number1
Publication statusPublished - Jan 2014

Abstract

A notion of the positive spatial association is introduced in this paper to analyze spatial dependence of Boolean models with the focus on estimating the long-range spatial dependence. The explicit tail estimates for probabilities of simultaneous damage to two distant spatial regions are obtained using the regular variation method, and the long-range spatial covariance for the Boolean models with heavy-tailed grains is shown to decay at the power-law rate that is smaller than the tail decay rate of grains. Examples and applications to spatial reliability modeling are also discussed. © 2013 Springer Science+Business Media New York.

Research Area(s)

  • Boolean model, Heavy-tailed grains, Positive association, Power-law decay, Regular variation, Spatial extremes