Estimates of convergence rate in the central limit theorem in C(S)

DOI10.1007/BF00968376zbMath0392.60022MaRDI QIDQ1251847

Vygantas Paulauskas

Publication date: 1976

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

zbMATH Keywords

Central Limit TheoremInvariance PrincipleConvergence RateGaussian Process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items

Rate of convergence in the central limit theorem in the space C(S) ⋮ On the rate of normal approximation in \(D[0,1\)] ⋮ A nonuniform estimate in the central limit theorem in some Banach spaces ⋮ Estimate of the rate of convergence in the central limit theorem in \(l_ p\) spaces ⋮ Rate of convergence in the central limit theorem in the space D[0,1] ⋮ Estimation of the rate of approximation to stable laws in C(S) ⋮ Rate of convergence in the central limit theorem for Gaussian mixtures in infinite-dimensional spaces ⋮ Estimates of the rate of convergence of sums of independent random variables in a Banach space. II ⋮ Estimates of the proximity of sums of independent random elements in the space \(C[0,1\).] ⋮ Rate of convergence in the central limit theorem for empirical processes

Cites Work

• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• Central limit theorems for C(S)-valued random variables
• A nonuniform estimate in the central limit theorem in Hilbert space
• The rate of convergence of a random walk to Brownian motion
• On the central limit theorem for sample continuous processes
• Metric entropy and the central limit theorem in C(S)
• Sample functions of the Gaussian process
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The Levy-Lindeberg Central Limit Theorem in L p , 0 < p < 1
• On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
• The Expected Number of Zeros of a Stationary Gaussian Process
• Existence and Convergence of Probability Measures in Banach Spaces
• Quelques théorèmes sur les fonctions indépendantes
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