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Multi-variate Arrays and Symmetries

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Foundations of Modern Probability

Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 99))

Abstract

Separately or jointly exchangeable arrays, contraction and extension properties, coding representations, equivalent coding functions, coupling, conditional independence, shell σ-field, independent entries, invariant coding, symmetric functions, inversion, conditioning and independence, shell-measurable and dissociated arrays, separate or joint rotatability, totally rotatable arrays, symmetric partitions.

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Correspondence to Olav Kallenberg .

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Kallenberg, O. (2021). Multi-variate Arrays and Symmetries. In: Foundations of Modern Probability . Probability Theory and Stochastic Modelling, vol 99. Springer, Cham. https://doi.org/10.1007/978-3-030-61871-1_29

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