A DE[0,1] representation of random upper semicontinuos functions

被引：84

作者：

Colubi, A ^{[1
]}

Domínguez-Menchero, JS

López-Díaz, M

Ralescu, D

机构：

[1] Univ Oviedo, Dept Estadist & IO, E-33071 Oviedo, Spain

[2] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 11期

关键词：

Cadlag function; measurability; random upper semicontinuous function; Skorohod metric; uniform metric;

D O I：

10.1090/S0002-9939-02-06429-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a representation of random upper semicontinuous functions in terms of D-E[0,1]-valued random elements is stated. This fact allows us to consider for the first time a complete and separable metric, the Skorohod one, on a wide class of upper semicontinuous functions. Finally, different relevant concepts of measurability for random upper semicontinuous functions are studied and the relationships between them are analyzed.

引用

页码：3237 / 3242

页数：6

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