Maximal Inequalities for Degenerate U-Processes with Applications to Optimization Estimators

Maximal inequalities for degenerate U-processes of order k, k ≥ 1, are established. The results rest on a moment inequality (due to Bonami) for kth-order forms and on extensions of chaining and symmetrization inequalities from the theory of empirical processes. Rates of uniform convergence are obtai...

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Veröffentlicht in:	The Annals of statistics 1994-03, Vol.22 (1), p.439-459
1. Verfasser:	Sherman, Robert P.
Format:	Artikel
Sprache:	eng
Schlagworte:	60E15 60G20 60G99 62E20 Average linear density chaining degenerate U-processes Distribution theory empirical processes Estimators Euclidean classes of functions Exact sciences and technology generalized regression model Integers Linear regression Mathematical functions Mathematics Maximal inequality Nonparametric optimazation estimator polynomial classes of sets Polynomials Probability and statistics Real numbers Regression analysis Sciences and techniques of general use semiparametric estimation Statistics Stochastic processes symmetrization Umklapp process
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