ESTIMATING THE ASYMPTOTIC VARIANCE OF GENERALIZEDL-STATISTICS

DOI10.1081/STA-120003650zbMath1075.62534OpenAlexW2009578473MaRDI QIDQ4449024

Vernon M. Chinchilli, Mary E. Putt

Publication date: 4 February 2004

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-120003650

zbMATH Keywords

U-statisticsL-statisticsStrong convergenceAsymptotic variance

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized L-, M-, and R-statistics
• Maximal inequalities and convergence results for generalized U- statistics
• Convergence of a class of empirical distribution functions of dependent random variables
• Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics
• Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
• Almost sure convergence of generalized U-statistics
• Modelling and optimality in the design of crossover studies for medical applications
• The Influence Curve and Its Role in Robust Estimation
• A Robust Analysis of Crossover Designs Using Multisample Generalized L-Statistics
• Generalized L‐statistics: Correction to the Form of the Asymptotic Variance Presented by Helmers et al. (1990)