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On patterns of conditional independences and covariance signs among binary variables

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Abstract

Given finitely many events in a probability space, conditional independences among the indicators of events are considered simultaneously with the signs of covariances. Resulting discrete structures are studied restricting attention mostly to all couples and triples of events. Necessary and sufficient conditions for such structures to be represented by events are found. Consequences of the results for the patterns of conjunctive forks are discussed.

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Authors and Affiliations

  1. Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic

    F. Matúš

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  1. F. Matúš
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Correspondence to F. Matúš.

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This research was supported by Grant Agency of the Czech Republic, Grant 16-12010S.

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Matúš, F. On patterns of conditional independences and covariance signs among binary variables. Acta Math. Hungar. 154, 511–524 (2018). https://doi.org/10.1007/s10474-018-0799-6

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  • DOI: https://doi.org/10.1007/s10474-018-0799-6

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