Metric entropy and the central limit theorem in C(S)

DOI10.5802/aif.505zbMath0275.60033OpenAlexW1965452861WikidataQ100656195 ScholiaQ100656195MaRDI QIDQ2265730

Richard M. Dudley

Publication date: 1974

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1974__24_2_49_0

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05)

Related Items (11)

Central limit theorem and increment conditions ⋮ The law of the iterated logarithm in C[0,1] ⋮ On an extension of the Hilbertian central limit theorem to Dirichlet forms ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4104649 Mesures majorantes et th�or�me de la limite centrale dans C(S)] ⋮ On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I ⋮ Central limit theorems for C(S)-valued random variables ⋮ Central limit theorems in D[0, 1] ⋮ Central limit theorems in D[0, 1] ⋮ Estimates of convergence rate in the central limit theorem in C(S) ⋮ On the central limit theorem in Banach spaces ⋮ Weak convergence to the law of two-parameter continuous processes

Cites Work

• On the central limit theorem for sample continuous processes
• Sample functions of the Gaussian process
• Les fonctions aléatoires comme éléments aléatoires dans les espace de Banach
• Probability Inequalities for the Sum of Independent Random Variables
• Unnamed Item
• Unnamed Item

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