Extreme Points of the Convex Set of Joint Probability Distributions with Fixed Marginals

2007/02/19 by K. R. Parthasarathy, Parthasarathy, K. R.
Mathematics · #15A51 #46L53 #Advanced Statistical Methods and Models #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy Systems and Optimization #Probability (math.PR) #Statistical Methods and Inference #math.FA #math.PR #msc:15A51 #msc:46L53

paper · pdf · doi:10.48550/arxiv.math/0702544

arxiv created 2007/02/19 · openalex publication_date 2007/02/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By using a quantum probabilistic approach we obtain a description of the extreme points of the convex set of all joint probability distributions on the product of two standard Borel spaces with fixed marginal distributions.

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