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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 34 open journal systems 


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.


Full text: PDF

Pages: 343-346

Published on: August 26, 2009
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Electronic Communications in Probability. ISSN: 1083-589X