Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774445 | Journal of Mathematical Analysis and Applications | 2017 | 42 Pages |
Abstract
This paper studies the excursion set of a real stationary isotropic Gaussian random field above a fixed level. We show that the standardized Lipschitz-Killing curvatures of the intersection of the excursion set with a window converges in distribution to a normal distribution as the window grows to the d-dimensional Euclidean space. Moreover a lower bound for the asymptotic variance is derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dennis Müller,