Asymptotic normality of sums of Hilbert space valued random elements

DOI10.1515/gmj-2019-2075zbMath1469.60018OpenAlexW2993348855WikidataQ126627083 ScholiaQ126627083MaRDI QIDQ2041371

Alfredas Račkauskas

Publication date: 19 July 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2075

zbMATH Keywords

asymptotic normalityHilbert spacelinear processessummation methods

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Uses Software

• fda (R)

Cites Work

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• The central limit theorem for summability methods of I.I.D. random variables
• Invariance principle for stochastic processes with short memory
• A family of minimax rates for density estimators in continuous time
• The Discounted Central Limit Theorem and its Berry-Esseen Analogue

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