Rate of convergence in the central limit theorem for Gaussian mixtures in infinite-dimensional spaces

DOI10.1007/BF00968587zbMath0524.60009OpenAlexW2037318477MaRDI QIDQ584813

Vygantas Paulauskas, Vidmantas Bentkus

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00968587

zbMATH Keywords

Wiener measureBanach space valued random variablesmixture of Gaussian random variablessymmetric Gaussian measure

Mathematics Subject Classification ID

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

Related Items (1)

Rate of convergence in the central limit theorem in the space D[0,1]

Cites Work

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• General theorems on rates of convergence in distribution of random variables I. General limit theorems
• Estimates of convergence rate in the central limit theorem in C(S)
• A representation theorem for symmetric stable processes and stable measures on H

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