Weak and strong representations for trimmed U-statistics

Irène Gijbels, Paul Janssen, Noël Veraverbeke

Type: Article

Publication Date: 1988-02-01

Citations: 12

DOI: https://doi.org/10.1007/bf00334036

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Probability Theory and Related Fields - View - PDF

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Works That Cite This (11)

Action	Title	Year	Authors
+	U-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of U-statistics with estimated parameters	1994	Miguel A. Arcones Evarist Giné
+ PDF Chat	Asymptotic distributions for a class of generalized $L$-statistics	2010	Yuri V. Borovskikh N. C. Weber
+	Approximation to the expectation of a function of order statistics and its applications	1997	Shihong Cheng
+	Asymptotic distributions of non-degenerate U-statistics on trimmed samples	2007	Yuri V. Borovskikh N. C. Weber
+	Berry-Esseen rates and bootstrap results for generalized L-statistics	1988	Roelof Helmers Paul Janssen Robert Serfling
+	U-statistics on winsorized and trimmed samples	1990	Paul Janssen Noël Veraverbeke Robert Serfling
+ PDF Chat	The Bahadur-Kiefer representation for U-quantiles	1996	Miguel A. Arcones
+	Asymptotic Results for <i>U</i>-Functions of Concomitants of Order Statistics	1992	Noël Veraverbeke
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+	Some asymptotic results for trimmedU-statistics	1998	A. Aleškevičienė

Works Cited by This (9)

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+	Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals	1988	Jyotishka Ray Choudhury Robert Serfling
+ PDF Chat	On the Asymptotic Normality of Statistics with Estimated Parameters	1982	Ronald H. Randles
+ PDF Chat	Generalized $L-, M-$, and $R$-Statistics	1984	Robert Serfling
+	Asymptotic normality of u-statistics based on trimmed samples	1987	Paul Janssen Robert Serfling Noël Veraverbeke
+ PDF Chat	Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions	1972	Rupert G. Miller Pranab Kumar Sen
+ PDF Chat	A New Proof of the Bahadur Representation of Quantiles and an Application	1971	Jayanta K. Ghosh
+ PDF Chat	Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics	1988	Roelof Helmers Paul Janssen Robert Serfling
+ PDF Chat	Convergence of Probability Measures	1999	Patrick Billingsley
+	Convergence of Probability Measures	1969	J. F. C. Kingmán P. Billingsley