Electronic Journal of Statistics

Asymptotic theorems for kernel U-quantiles

Stefan Ralescu

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For a locally smooth statistical model, we investigate kernel U-quantiles estimators. Under suitable assumptions, we establish a strong Bahadur representation theorem, an invariance principle, and the asymptotic normality for randomly indexed sequences of observations.

Article information

Electron. J. Statist., Volume 6 (2012), 664-671.

First available in Project Euclid: 18 April 2012

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Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Bahadur representation asymptotic normality U-statistics kernel estimator


Ralescu, Stefan. Asymptotic theorems for kernel U-quantiles. Electron. J. Statist. 6 (2012), 664--671. doi:10.1214/12-EJS687. https://projecteuclid.org/euclid.ejs/1334754010

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