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Note on the Tightness of the Metric on the Set of Complete Sub $\sigma$-Algebras of a Probability Space

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Publication:5651974
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DOI10.1214/aoms/1177692492zbMath0241.60036OpenAlexW2066274131MaRDI QIDQ5651974

Jacques Neveu

Publication date: 1972

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177692492



Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05)


Related Items (8)

Sharp orders of convergence in the random central limit theorem ⋮ Unnamed Item ⋮ Generalized martingales, generalized Markov chains and generalized harmonic functions ⋮ A couple of remarks on the convergence of \(\sigma\)-fields on probability spaces ⋮ Distances between \(\sigma \)-fields on a probability space ⋮ Lebesgue decomposition of probability measures: applications to equivalence, singularity and Kriging ⋮ Filtrations for which all \({\mathcal H}^2\) martingales are of integrable variation; distances between \(\sigma\)-algebras ⋮ Martingales, the smoothing index and ergodic theory






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