Permutation invariant strong law of large numbers for exchangeable sequences

DOI10.1155/2021/3637837zbMath1484.60038arXiv2009.08288OpenAlexW3216287393MaRDI QIDQ2065408

Stefan Tappe

Publication date: 7 January 2022

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08288

zbMATH Keywords

permutation invarianceexchangeable sequencestrong law of large numbers (SLLN)

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Exchangeability for stochastic processes (60G09)

Cites Work

• On the laws of large numbers for nonnegative random variables
• An extension of the Komlós subsequence theorem
• A note on the von Weizsäcker theorem
• Markets with transaction costs. Mathematical theory.
• Uses of exchangeability
• On the strong law of large numbers for \(\phi\)-mixing and \(\rho\)-mixing random variables
• The strong law of large numbers for dependent random variables
• Can One Drop L 1 -Boundedness in Komlós's Subsequence Theorem?
• An elementary proof of the strong law of large numbers
• Kolmogorov's Strong Law of Large Numbers Holds for Pairwise Uncorrelated Random Variables
• A generalization of a problem of Steinhaus
• Probability theory. A comprehensive course

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