A note on the strong convergence of \(\sigma\)-algebras
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Publication:2265726
DOI10.1214/aop/1176996752zbMath0275.60007OpenAlexW2010525458MaRDI QIDQ2265726
Publication date: 1974
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176996752
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Axioms; other general questions in probability (60A05) Limit theorems in probability theory (60F99)
Related Items (14)
Similarity of information and behavior with a pointwise convergence topology ⋮ Convergence in approximation and nonsmooth analysis ⋮ Convergence of information, random variables and noise ⋮ A couple of remarks on the convergence of \(\sigma\)-fields on probability spaces ⋮ Kudō-continuity of conditional entropies ⋮ Best approximants in L 1 space ⋮ Similarity of differential information with subjective prior beliefs ⋮ Distances between \(\sigma \)-fields on a probability space ⋮ Filtrations for which all \({\mathcal H}^2\) martingales are of integrable variation; distances between \(\sigma\)-algebras ⋮ Epiconvergence of relaxed stochastic optimization problems ⋮ Convergence of nonmonotone sequences of sub-\(\sigma\)-fields and convergence of associated subspaces \(L^p(\mathcal B_n)\) (\(p\in[1,+\infty\))] ⋮ Convergence of best approximations in a smooth Banach space ⋮ A New Version of the Multivalued Fatou Lemma ⋮ Convergence of closed convex sets and ?-fields
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