Asymptotic analysis of simultaneous damages in spatial Boolean models
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 139-154 |
| Journal / Publication | Annals of Operations Research |
| Volume | 212 |
| Issue number | 1 |
| Publication status | Published - Jan 2014 |
Link(s)
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
Citation Format(s)
Asymptotic analysis of simultaneous damages in spatial Boolean models. / Li, Haijun; Xu, Susan H.; Kuo, Way.
In: Annals of Operations Research, Vol. 212, No. 1, 01.2014, p. 139-154.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
