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2009 Standard representation of multivariate functions on a general probability space
Svante Janson
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Electron. Commun. Probab. 14: 343-346 (2009). DOI: 10.1214/ECP.v14-1477

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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Svante Janson. "Standard representation of multivariate functions on a general probability space." Electron. Commun. Probab. 14 343 - 346, 2009. https://doi.org/10.1214/ECP.v14-1477

Information

Accepted: 26 August 2009; Published: 2009
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60011
MathSciNet: MR2535082
Digital Object Identifier: 10.1214/ECP.v14-1477

Subjects:
Primary: 60A10

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