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Large Deviations of U-Statistics. II
Lithuanian Mathematical Journal, 2003Large deviation results are proved for non-degenerate \(U\)-statistics of degree \(m\) of the form \[ U_n={(m-1)\cdots 2\cdot 1 \over{(n-1)\cdots (n-m+1) } } \sum_{1\leq i_1 < \cdots < i_m \leq n } h(X_{i_1}, \ldots, X_{i_m}), \] where \(X_1,\ldots X_n\) be independent and identically distributed random variables, taking values in a measurable space ...
Borovskikh, Yu. V., Weber, N. C.
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U-Statistic Hierarchical Clustering
Psychometrika, 1978A monotone invariant method of hierarchical clustering based on the Mann-Whitney U-statistic is presented. The effectiveness of the complete-link, single-link, and U-statistic methods in recovering tree structures from error perturbed data are evaluated.
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Hermite ranks and $$U$$ U -statistics
Metrika, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lévy-Leduc, C., Taqqu, M. S.
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2018
U statistics are a large and important class of statistics. Indeed, any U-statistic (with finite variance) is the non-parametric minimum variance estimator of its expectation \( \theta \). Many common statistics and estimators are either U-statistics or approximately so.
Arup Bose, Snigdhansu Chatterjee
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U statistics are a large and important class of statistics. Indeed, any U-statistic (with finite variance) is the non-parametric minimum variance estimator of its expectation \( \theta \). Many common statistics and estimators are either U-statistics or approximately so.
Arup Bose, Snigdhansu Chatterjee
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U-statistics on winsorized and trimmed samples
Statistics & Probability Letters, 1990On obtient la normalité asymptotique d'une classe d'U-statistiques comprenant la moyenne tronquée et la moyenne winsorisée. On utilise pour cela un théorème limite conditionnel de \textit{J. Sethuraman} [Sankhyā, Ser. A 23, 379-386 (1961; Zbl 0101.130)] et une version uniforme du théorème limit central pour les U-statistiques.
Janssen, Paul +2 more
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