STANDARD REPRESENTATION OF MULTIVARIATE FUNCTIONS ON A GENERAL PROBABILITY SPACE

被引：6
|
作者：
Janson, Svante [1 ]
机构：
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2009年 / 14卷
关键词：
Borel space; random graphs;
D O I：
10.1214/ECP.v14-1477
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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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页码：343 / 346
页数：4
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