Limit theorems for independent nonmeasurable functions

DOI10.1007/BF03322441zbMath0964.60025MaRDI QIDQ1578472

Berthold Wittje

Publication date: 31 August 2000

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

law of large numberscentral limit theoremnonmeasurable function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Cites Work

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• The Glivenko-Cantelli problem
• Weak convergence and empirical processes. With applications to statistics
• Invariance principles for sums of Banach space valued random elements and empirical processes
• Spitzer's strong law of large numbers in nonseparable Banach spaces

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