A general study of extremes of stationary tessellations with examples

Let m be a random tessellation in Rd, d≥1, observed in a bounded Borel subset W and f(⋅) be a measurable function defined on the set of convex bodies. A point z(C), called the nucleus of C, is associated with each cell C of m. Applying f(⋅) to all the cells of m, we investigate the order statistics...

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Veröffentlicht in:	Stochastic processes and their applications 2014-09, Vol.124 (9), p.2917-2953
1. Verfasser:	Chenavier, Nicolas
Format:	Artikel
Sprache:	eng
Schlagworte:	Dependency graph Extreme values Gauss–Poisson point process Mathematics Order statistics Poisson approximation Poisson point process Probability Random tessellations Voronoi flower
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