On the Edgeworth expansion for elementary polynomials based on trimmed samples

DOI10.1017/S0004972700038107zbMath1062.60015OpenAlexW2092911038MaRDI QIDQ4654261

Neville C. Weber, Yuri V. Borovskikh

Publication date: 3 March 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038107

zbMATH Keywords

symmetric polynomialsEdgeworth expansiontrimmed \(U\)-statistics\(U\)-statistics with product kernels

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (2)

Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Asymptotic distributions of non-degenerate U-statistics on trimmed samples

Cites Work

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• A limit theorem for elementary symmetric polynomials of independent random variables
• On the elementary symmetric polynomials of independent random variables
• On a crossroad of resampling plans: bootstrapping elementary symmetric polynomials
• Probability Inequalities for Sums of Bounded Random Variables
• A Note on Quantiles in Large Samples
• On Some Robust Estimates of Location

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