Simple nonstandard proofs of Daniell-Kolmogorov-type theorems

DOI10.1007/s11117-011-0135-7zbMath1259.28019OpenAlexW2086923622WikidataQ57542982 ScholiaQ57542982MaRDI QIDQ1928254

Frederik S. Herzberg

Publication date: 2 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0135-7

zbMATH Keywords

nonstandard analysisLoeb measureconstruction of Markov processesDaniell-Kolmogorov theoremprojective family of probability measures

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Inductive and projective limits in functional analysis (46M40) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items (2)

A note on special cases derived from Nelson's martingale central limit theorem ⋮ The consistency of probabilistic regresses: some implications for epistemological infinitism

Cites Work

• Unnamed Item
• A Loeb-Measure Approach to Theorems by Prohorov, Sazonov and Gross
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Non-standard analysis

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