Uniform consistency of r-means

DOI10.1016/0167-7152(88)90090-9zbMath0662.60046OpenAlexW1988399665MaRDI QIDQ1113520

Carlos Matrán, Juan Antonio Cuesta

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90090-9

zbMATH Keywords

medianuniform consistencyuniform convex spaces

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (3)

A partial overview of the theory of statistics with functional data ⋮ Approximation of distributions by bounded sets ⋮ On minimizing sequences for \(k\)-centres

Cites Work

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• The Polya algorithm in \(L_{\infty}\) approximation
• \(L_ p\)-linear regression, consistency and significative regression in median
• The strong law of large numbers for k-means and best possible nets of Banach valued random variables
• [https://portal.mardi4nfdi.de/wiki/Publication:3689923 La multi-application m�dianes conditionnelles]
• Asymptotic Behavior of p-Predictions for Vector Valued Random Variables
• An elementary proof of the strong law of large numbers
• Robust Estimation of a Location Parameter
• The best possible net and the best possible cross-section of a set in a normed space
• Generalized Means and Associated Families of Distributions
• Linear Functionals on Certain Banach Spaces

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