Spitzer's strong law of large numbers in nonseparable Banach spaces

DOI10.1023/A:1007730809136zbMath1425.60009OpenAlexW89738583MaRDI QIDQ5919589

Berthold Wittje

Publication date: 22 August 2019

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007730809136

zbMATH Keywords

strong law of large numbersGlivenko-Cantelli classnonmeasurable function

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• The Glivenko-Cantelli problem
• Weak convergence and empirical processes. With applications to statistics
• A Combinatorial Lemma and Its Application to Probability Theory
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• The central limit theorem for non-separable valued functions
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