7 citations · 18 across the 15 of their papers we have counts for
4 papers · 1 filter
A Note on Exponential Inequalities in Hilbert Spaces for Spatial Processes with Applications to the Functional Kernel Regression Model
Johannes T. N. Krebs
In this manuscript we present exponential inequalities for spatial lattice processes which take values in a separable Hilbert space and satisfy certain dependence conditions. We co…
A Bernstein Inequality For Spatial Lattice Processes
Eduardo Valenzuela-Domínguez, Johannes T. N. Krebs, Jürgen E. Franke
In this article we present a Bernstein inequality for sums of random variables which are defined on a spatial lattice structure. The inequality can be used to derive concentration…
A Large Deviation Inequality for -mixing Time Series and its Applications to the Functional Kernel Regression Model
Johannes T. N. Krebs
We give a new large deviation inequality for sums of random variables of the form for , fixed, where the underlying process is -mix…
A Bernstein Inequality For Exponentially Growing Graphs
Johannes T. N. Krebs
In this article we present a Bernstein inequality for sums of random variables which are defined on a graphical network whose nodes grow at an exponential rate. The inequality can…