The Oscillation Behavior of Empirical Processes

Winfried Stute

doi:10.1214/aop/1176993915

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Home > Journals > Ann. Probab. > Volume 10 > Issue 1 > Article

February, 1982 The Oscillation Behavior of Empirical Processes

Winfried Stute

Ann. Probab. 10(1): 86-107 (February, 1982). DOI: 10.1214/aop/1176993915

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Abstract

In this paper we study the local behavior of empirical processes for independent identically distributed random variables on the real line. The results are applied to get best rates of convergence for various types of density estimators as well as error estimates for the Bahadur representation of the quantile process obtained by Kiefer.

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Winfried Stute. "The Oscillation Behavior of Empirical Processes." Ann. Probab. 10 (1) 86 - 107, February, 1982. https://doi.org/10.1214/aop/1176993915