Finitely exchangeable probability measures and their extensions

Takis Konstantopoulos
(Uppsala University)
Thieleseminar
Torsdag, 3 marts, 2016, at 13:15-14:00, in Koll. D (1531-211)
Abstrakt:

A probability measure on S^n is exchangeable if it is invariant under any of the n! permutations of coordinates.  We give a proof of a representation result for arbitrary measurable space S that such a measure is a mixture of product measures but the mixing measure may be signed (in sharp contest to de Finetti's theorem).  We then give a necessary and sufficient condition for extensibility to S^N where N>n, possibly infinity. We also mention some possible applications. This is joint work with Linglong Yuan.

Organiseret af: The T.N. Thiele Centre
Kontaktperson: Søren Asmussen