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Short Communications

The almost sure Skorokhod representation for subsequences in nonmetric spaces

A. Jakubowski

Nicholas Copernikus University, Faculty of Mathematics and Informatics, Poland

Abstract: It is shown that in a large class of topological spaces every uniformly tight sequence of random elements contains a subsequence which admits the usual almost sure (a.s.) Skorokhod representation on the Lebesgue interval.

Keywords: the a.s. Skorokhod representation, convergence in distribution on nonmetric topological spaces, Prokhorov's theorem.

Received: 19.05.1994

Language: English

DOI: 10.4213/tvp1769

 English version: Theory of Probability and its Applications, 1998, 42:1, 167–174

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