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• W1594986075 abstract "Analysis of non-parametric estimators is easier if one makes use of refined empirical process inequalities. These inequalities have not been widely appreciated or applied, perhaps because they lie buried quite deep in the empirical process literature. This paper seeks to explain a novel empirical process technique that might make the results more accessible. A simple method is presented for proving maximal inequalities for empirical processes indexed by unbounded classes of functions. The main result is stated in the form of a tail bound for the ratio of a centered empirical measure to a sum of various L1 norms. The method avoids the usual chaining argument. The bound delivers the correct rates of convergence for the sorts of quantities encountered in non-parametric smoothing applications." @default.
• W1594986075 created "2016-06-24" @default.
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• W1594986075 date "1995-01-01" @default.
• W1594986075 modified "2023-09-26" @default.
• W1594986075 title "Uniform ratio limit theorems for empirical processes" @default.
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