Standard representation of multivariate functions on a general probability space
Svante Janson, Uppsala University
Abstract
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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