Short Communications

On a property of independent mappings

A. A. Lipchyus

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We consider a sufficient condition on a given mapping on a general probability space that any random variable independent of this mapping assumes only finitely valued variables.

Keywords: independence, finitely valued variables, Ottaviani theorem, absolute continuity.

Received: 21.04.2004

DOI: 10.4213/tvp225

 English version: Theory of Probability and its Applications, 2005, 49:2, 333–336

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