M. Kratz

activity

20042025

most citedLevel crossings and other level functionals of stationary Gaussian processes

83 citations · 127 across the 25 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.PR2014

An extension of the class of regularly varying functions

Meitner Cadena, Marie Kratz

We define a new class of positive and Lebesgue measurable functions in terms of their asymptotic behavior, which includes the class of regularly varying functions. We also characte…

math.PR2014

On the capacity functional of excursion sets of Gaussian random fields on $R^{2}$

Marie Kratz, Werner Nagel

When a random field $(X_{t}, t \in R^{2})$ is thresholded on a given level $u$ , the excursion set is given by its indicator $1_{[u, \infty)} (X_{t})$ . The purpose of this work…

An extension of the class of regularly varying functions

On the capacity functional of excursion sets of Gaussian random fields on R2

On the capacity functional of excursion sets of Gaussian random fields on $R^{2}$