Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE REGULARITY OF RANDOM MAPPINGS

DANG HUNG THANG

pp. 15-25

Abstract

In this paper, some regular properties of random mappings such as the stochastical continuity, the sample continuity and the measurability are investigated. The relation between the regularity and the problem of substituting the argument of a random mapping by a random variable is discussed.