7 papers
An epidemic model in inhomogeneous environment
Daniela Bertacchi, Jürgen Kampf, Ecaterina Sava-Huss +1
The current work deals with an epidemic model on the complete graph K_n on n vertices in a non-homogeneous setting, where the vertices may have distinct types. Different types diff…
Testing for linearity in boundary regression models with application to maximal life expectancies
Jürgen Kampf, Alexander Meister
We consider a regression model with errors that are a.s. negative. Thus the regression function is not the expected value of the observations but the right endpoint of their suppor…
Variances of surface area estimators based on pixel configuration counts
Jürgen Kampf
The surface area of a set which is only observed as a binary pixel image is often estimated by a weighted sum of pixel configurations counts. In this paper we examine these estimat…
Nonparametric estimation of the kernel function of symmetric stable moving average random functions
Jürgen Kampf, Georgiy Shevchenko, Evgeny Spodarev
We estimate the kernel function of a symmetric alpha stable () moving average random function which is observed on a regular grid of points. The proposed estimator relies on t…
A central limit theorem for Lebesgue integrals of random fields
Jürgen Kampf
In this paper we show a central limit theorem for Lebesgue integrals of stationary -dependent random fields as the integration domain grows in Van Hove-sense. Our method is…
A functional central limit theorem for integrals of stationary mixing random fields
Jürgen Kampf, Evgeny Spodarev
We prove a functional central limit theorem for integrals , where is a stationary mixing random field and the stochastic process is…
On the convex hull of symmetric stable processes
Jürgen Kampf, Günter Last
Let alpha \in (1, 2] and X be an R^d-valued alpha-stable process with independent and symmetric components starting in 0. We consider the closure S_t of the path described by X on…