On almost sure convergence in a finitely additive setting

DOI10.1007/BF00533425zbMath0331.60010MaRDI QIDQ4096173

Robert W. Chen

Publication date: 1977

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

Mathematics Subject Classification ID

Convergence of probability measures (60B10)

Related Items (7)

Convergence to the truth without countable additivity ⋮ A version of Komlós theorem for additive set functions ⋮ A General Principle for Limit Theorems in Finitely Additive Probability ⋮ Finitely Additive Markov Chains ⋮ Repelling a Prussian charge with a solution to a paradox of Dubins ⋮ Finite additivity, another lottery paradox and conditionalisation ⋮ Potential theory for finitely additive Markov chains

Cites Work

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• Another note on the Borel-Cantelli lemma and the strong law, with the Poisson approximation as a by-product
• A 'stopped' proof of convergence
• A remark on the strong law
• Some finitely additive probability
• On Lebesgue-like extensions of finitely additive measures
• Some inequalities for randomly stopped variables with applications to pointwise convergence
• A Sharper Form of the Borel-Cantelli Lemma and the Strong Law
• A Limit Theoerm for Random Variables with Infinite Moments

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