Estimate of the rate of convergence in the central limit theorem in \(l_ p\) spaces

DOI10.1007/BF00970257zbMath0465.60041OpenAlexW3002402482MaRDI QIDQ1154742

Vygantas Paulauskas

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00970257

zbMATH Keywords

convergence ratefinite-dimensional approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) (L^p)-limit theorems (60F25)

Related Items (1)

Asymptotic analysis of probability measures in Banach spaces

Cites Work

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• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• Gaussian characterizations of certain Banach spaces
• The law of large numbers and the central limit theorem in Banach spaces
• Estimates of convergence rate in the central limit theorem in C(S)
• Bounds for the speed of convergence in the central limit theorem in C(S)
• On the limit theorems for random variables with values in the spaces L p (2?p<?)

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