Almost everywhere continuity of conditional expectations

2023/01/20 by Alonso, Alberto, Brambila-Paz, Fernando
#FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2301.08694

Abstract

A necessary and sufficient condition on a sequence \\mathfrakA_n\_{n∈ ℕ} of σ-subalgebras that assures convergence almost every where of conditional expectations is given.

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