Asymptotic Results for U-Functions of Concomitants of Order Statistics

DOI10.1080/02331889208802373zbMath0809.62043OpenAlexW2007520299MaRDI QIDQ4322935

Noël Veraverbeke

Publication date: 29 March 1995

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889208802373

zbMATH Keywords

order statisticsstrong consistencyconcomitantsbivariate sampleasymptotic representation for \(U\)-statistics

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Cites Work

• Unnamed Item
• Weak and strong representations for trimmed U-statistics
• Linear combination of concomitants of order statistics with application to testing and estimation
• On the asymptotic normality of statistics with estimated parameters
• Convergence of sample paths of normalized sums of induced order statistics
• An invariance principle in regression analysis
• Approximation Theorems of Mathematical Statistics
• Linear Functions of Concomitants of Order Statistics with Application to Nonparametric Estimation of a Regression Function
• A New Proof of the Bahadur Representation of Quantiles and an Application

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