On the Dovbysh-Sudakov representation result

Mathematics – Probability

Scientific paper

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Scientific paper

We present a detailed proof of the Dovbysh-Sudakov representation for
symmetric positive definite weakly exchangeable infinite random arrays, called
Gram-de Finetti matrices, which is based on the representation result of Aldous
and Hoover for arbitrary (not necessarily positive definite) symmetric weakly
exchangeable arrays.

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