A Bernstein Inequality For Spatial Lattice Processes
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Publication:6282894
arXiv1702.02023MaRDI QIDQ6282894
Jürgen E. Franke, Johannes T. N. Krebs, Eduardo Valenzuela Dominguez
Publication date: 7 February 2017
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.
Random fields; image analysis (62M40) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Nonparametric statistical resampling methods (62G09) Ergodicity, mixing, rates of mixing (37A25)
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