A sufficient condition for the CLT in the space of nuclear operators -- application to covariance of random functions

DOI10.1016/J.SPL.2006.03.010zbMath1106.60005OpenAlexW1992649693MaRDI QIDQ2497812

André Mas

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.spl.2006.03.010

zbMATH Keywords

central limit theoremnuclear operatorsrandom functionscovariance operators

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random linear operators (47B80) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Cites Work

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• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• Linear processes in function spaces. Theory and applications
• Weak convergence for the covariance operators of a Hilbertian linear process.
• Functional linear model
• Existence and Convergence of Probability Measures in Banach Spaces

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