Asymptotic analysis of simultaneous damages in spatial Boolean models

Haijun Li (), Susan Xu () and Way Kuo ()

Annals of Operations Research, 2014, vol. 212, issue 1, 139-154

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. Copyright Springer Science+Business Media New York 2014

Keywords: Boolean model; Heavy-tailed grains; Spatial extremes; Positive association; Regular variation; Power-law decay (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10479-013-1363-y

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