English

A Bernstein Inequality For Spatial Lattice Processes

Statistics Theory 2017-12-06 v2 Probability Statistics Theory

Abstract

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 inequalities. It can be useful to obtain consistency properties for nonparametric estimators of conditional expectation functions.

Keywords

Cite

@article{arxiv.1702.02023,
  title  = {A Bernstein Inequality For Spatial Lattice Processes},
  author = {Eduardo Valenzuela-Domínguez and Johannes T. N. Krebs and Jürgen E. Franke},
  journal= {arXiv preprint arXiv:1702.02023},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T18:11:37.774Z