Document Zbl 1189.60011

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Standard representation of multivariate functions on a general probability space. (English) Zbl 1189.60011

Electron. Commun. Probab. 14, 343-346 (2009).

Summary: 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.

Cited in 2 Documents

MSC:

60A10

Probabilistic measure theory

Keywords:

Borel space; random graphs

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