This article is cited in 6 papers

A projective limit theorem for probability spaces and applications

M. M. Rao^a, V. V. Sazonov<sup>b

a</sup> Department of Mathematics, University of California, Riverside, CA
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: A new complex of assumptions giving the existence of the projective limit of a projective system of probability spaces is given. This complex consists of regularity and conditions of almost separability and sequential maximality. The result obtained supplements the corresponding results of Choksi and Mallory and Sion.

Keywords: projective system of probability spaces, projective limit, regular conditional probability, almost separable system, sequential maximality.

Received: 04.02.1993

 English version: Theory of Probability and its Applications, 1993, 38:2, 307–315

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