On the Dovbysh-Sudakov representation result

Dmitry Panchenko (Texas A&M University)

Abstract


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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Pages: 330-338

Publication Date: August 14, 2010

DOI: 10.1214/ECP.v15-1562

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