Statistics for Gaussian random fields with unknown location and scale using Lipschitz‐Killing curvatures
E Di Bernardino, C Duval - Scandinavian Journal of Statistics, 2022 - Wiley Online Library
In the present article we study the average of Lipschitz‐Killing (LK) curvatures of the
excursion set of a stationary isotropic Gaussian field X on ℝ 2. The novelty is that the field …
excursion set of a stationary isotropic Gaussian field X on ℝ 2. The novelty is that the field …
Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields
S Kuriki, T Matsubara - Advances in Applied Probability, 2023 - cambridge.org
The Minkowski functionals, including the Euler characteristic statistics, are standard tools for
morphological analysis in cosmology. Motivated by cosmic research, we examine the …
morphological analysis in cosmology. Motivated by cosmic research, we examine the …
Invariant Gaussian fields on homogeneous spaces: explicit constructions and mean nodal volume
A Afgoustidis - L'Enseignement Mathématique, 2022 - ems.press
We review and study some of the properties of smooth Gaussian random fields defined on a
homogeneous space, under the assumption that the probability distribution is invariant …
homogeneous space, under the assumption that the probability distribution is invariant …