Asymptotic normality of trimmed means in higher dimensions

DOI10.1214/aop/1176991587zbMath0656.62022OpenAlexW2024197983MaRDI QIDQ1110210

Ross A. Maller

Publication date: 1988

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991587

zbMATH Keywords

rate of convergenceasymptotic normality of trimmed meanstrimmed sum of vector-valued random variables

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (7)

Limit laws of modulus trimmed sums ⋮ Defining extremes and trimming by minimum covering sets ⋮ Self-normalized Cramér-type large deviations for independent random variables. ⋮ Trimmed \(\tilde T^2\): A robust analog of Hotelling's \(T^2\) ⋮ Asymptotics of the empirical cross-over function ⋮ On conditional distributions of nearest neighbors ⋮ Distribution-function-based bivariate quantiles.

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