This article is cited in 3 papers

Short Communications

О регулярности условных вероятностей для случайных процессов

N. V. Krylov

Moscow

Abstract: Let ($\Omega$, $\mathscr N$, $\mathbf P$) be a probability space, where $\Omega$ is the set of all right-continuous functions with left-hand side limits or the set of all continuous functions with values in a semicompact. For any $\sigma$-field $\mathscr H\subset\mathscr N$, the existence and uniqueness of a regular conditional probability distribution of $\mathbf P$ given $\mathscr H$ is proved.

Received: 19.10.1971

 English version: Theory of Probability and its Applications, 1973, 18:1, 150–153

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