Loi du logarithme it�r� dans C S) et fonction caract�ristique empirique

DOI10.1007/BF00535725zbMath0493.60010OpenAlexW2911439238MaRDI QIDQ3956139

Michel Ledoux

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00535725

zbMATH Keywords

central limit theoremlaw of iterated logarithmempirical characteristic functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

Kernel-transformed empirical processes ⋮ The central limit theorem and the law of iterated logarithm for empirical processes under local conditions ⋮ The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component ⋮ Some limit theorems for the empirical process indexed by functions

Cites Work

• Limit behaviour of the empirical characteristic function
• Weak convergence of the empirical characteristic function
• Some results on the LIL in Banach space with applications to weighted empirical processes
• Central limit theorems for C(S)-valued random variables
• Kolmogorov's law of the iterated logarithm for Banach space valued random variables
• A note on the central limit theorem in Banach spaces
• Multivariate empirical characteristic functions
• Continuity and the central limit theorem for random trigonometric series
• [https://portal.mardi4nfdi.de/wiki/Publication:4176200 Continuit� et th�or�me central limite pour les transform�es de Fourier des mesures al�atoires du second ordre]
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