7 citations · 18 across the 15 of their papers we have counts for
4 papers · 1 filter
Consistency and Asymptotic Normality of Stochastic Euler Schemes for Ordinary Differential Equations
Johannes T. N. Krebs
General stochastic Euler schemes for ordinary differential equations are studied. We give proofs on the consistency, the rate of convergence and the asymptotic normality of these p…
Orthogonal Series Estimates on Strong Spatial Mixing Data
Johannes T. N. Krebs
We study a nonparametric regression model for sample data which is defined on an -dimensional lattice structure and which is assumed to be strong spatial mixing: we use design a…
Nonparametric Density Estimation for Spatial Data with Wavelets
Johannes T. N. Krebs
Nonparametric density estimators are studied for -dimensional, strongly spatial mixing data which is defined on a general -dimensional lattice structure. We consider linear a…
Non-parametric Regression for Spatially Dependent Data with Wavelets
Johannes T. N. Krebs
We study non-parametric regression estimates for random fields. The data satisfies certain strong mixing conditions and is defined on the regular -dimensional lattice structure.…