On the converse law of large numbers

DOI10.1215/00192082-8303485zbMath1445.60031OpenAlexW3022588967WikidataQ114846414 ScholiaQ114846414MaRDI QIDQ2188424

H. Jerome Keisler, Yeneng Sun

Publication date: 11 June 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1588298628

zbMATH Keywords

law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15) Nonstandard models of arithmetic (03H15) Measures and integrals in product spaces (28A35) Nonstandard measure theory (28E05)

Cites Work

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• A global intrinsic characterization of Brownian local time
• A non-standard representation for Brownian motion and Ito integration
• A theory of hyperfinite processes: The complete removal of individual uncertainty via exact LLN
• On nonstandard product measure spaces
• The Wiener sphere and Wiener measure
• The exact law of large numbers via Fubini extension and characterization of insurable risks
• Polar sets and multiple points for super-Brownian motion
• Nonstandard Analysis for the Working Mathematician
• An infinitesimal approach to stochastic analysis
• Adapted Probability Distributions
• On the strength of nonstandard analysis
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• A METRIC ON PROBABILITIES, AND PRODUCTS OF LOEB SPACES
• Hyperfinite Law of Large Numbers
• Ergodicity of Markov Processes via Nonstandard Analysis

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