Bounds for the speed of convergence in the central limit theorem in C(S)

DOI10.1007/BF00532697zbMath0351.60029MaRDI QIDQ4121234

Evarist Giné M.

Publication date: 1976

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (11)

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 ⋮ High-dimensional CLT: improvements, non-uniform extensions and large deviations ⋮ 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 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

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• Central limit theorems for C(S)-valued random variables
• On the central limit theorem for sample continuous processes
• Sample functions of the Gaussian process
• The law of the iterated logarithm in C[0,1]
• The Expected Number of Zeros of a Stationary Gaussian Process
• A Note on the Absence of Tangencies in Gaussian Sample Paths

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