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Extreme points of the convex set of joint probability distributions with fixed marginals

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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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  1. Indian Statistical Institute, Delhi Centre, 7, S.J.S. Sansanwal Marg, New Delhi, 110 016, India

    K. R. Parthasarathy

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  1. K. R. Parthasarathy
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Correspondence to K. R. Parthasarathy.

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Parthasarathy, K.R. Extreme points of the convex set of joint probability distributions with fixed marginals. Proc Math Sci 117, 505–515 (2007). https://doi.org/10.1007/s12044-007-0042-9

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  • DOI: https://doi.org/10.1007/s12044-007-0042-9

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