Conditional Empirical Processes

Winfried Stute

doi:10.1214/aos/1176349943

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Home > Journals > Ann. Statist. > Volume 14 > Issue 2 > Article

June, 1986 Conditional Empirical Processes

Winfried Stute

Ann. Statist. 14(2): 638-647 (June, 1986). DOI: 10.1214/aos/1176349943

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Abstract

We prove a Donsker-type invariance principle for a nearest-neighbor-type conditional empirical process. As an application we show asymptotic normality of conditional quantiles and derive large-sample distribution-free tests and confidence bands for a conditional distribution function.