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arxiv: 0905.1524 · v1 · pith:S3RWSJ6Bnew · submitted 2009-05-11 · 🧮 math.PR

On the Dovbysh-Sudakov representation result

classification 🧮 math.PR
keywords representationarraysdefinitedovbysh-sudakovexchangeablepositiveresultsymmetric
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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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