Standard representation of multivariate functions on a general probability space

Details Standard representation of multivariate functions on a general probability space Standard representation of multivariate functions on a general probability space

2007-12-31

arxiv.org/abs/0801.0196v1

Mathematics

Probability

5 pages

Scientific paper

It is well-known that a random variable, i.e., a function defined on a
probability space, with values in a Borel space, can be represented on the
special probability space consisting of the unit interval with Lebesgue
measure. We show an extension of this to multivariate functions. This is
motivated by some recent constructions of random graphs.

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