On Bobkov's approximate de Finetti representation via approximation of permanents of complex rectangular matrices

Details On Bobkov's approximate de Finetti representation via approximation of permanents of complex rectangular matrices On Bobkov's approximate de Finetti representation via approximation of permanents of complex rectangular matrices

2012-03-13

arxiv.org/abs/1203.2871v1

Mathematics

Probability

10 pages

Scientific paper

Bobkov (2005) investigated an approximate de Finetti representation for probability measures on product measurable spaces, which are symmetric under permutations of coordinates. One of the main results of that paper was an explicit approximation bound for permanents of complex rectangular matrices, which was shown by a complicated induction argument. In this paper, we indicate how to avoid the induction argument using an (asymptotic) expansion. Our approach makes it possible to give new explicit higher order approximation bounds for such permanents and in turn for the probability measures mentioned above.

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