Relation entre th�or�me central-limite et loi du logarithme it�r� dans les espaces de Banach

DOI10.1007/BF00534258zbMath0397.60018MaRDI QIDQ4181018

Bernard Heinkel

Publication date: 1979

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

zbMATH Keywords

Banach SpaceLaw of the Iterated LogarithmCentral-Limit Theorem

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 (11)

Comparing sums of independent bounded random variables and sums of Bernoulli random variables ⋮ Unnamed Item ⋮ On the limiting behavior of the Pickands estimator for bivariate extreme- value distributions ⋮ Unnamed Item ⋮ The Law of the Iterated Logarithm in Uniformly Convex Banach Spaces ⋮ Multivariate empirical characteristic functions ⋮ Bounded and compact laws of the logarithm for \(B\)-valued random variables ⋮ The central limit theorem and the law of iterated logarithm for empirical processes under local conditions ⋮ Invariance principles for sums of Banach space valued random elements and empirical processes ⋮ Asymptotic behaviour of linear combinations of functions of order statistics ⋮ Extreme values and the law of the iterated logarithm

Cites Work

• Unnamed Item
• Unnamed Item
• Some applications to inequalities of the method of generalized convexity
• Kolmogorov's law of the iterated logarithm for Banach space valued random variables
• Some stability results for vector valued random variables
• On the limit theorems for random variables with values in the spaces L p (2?p<?)

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