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June, 1973 Conditions for Continuity of Random Processes without Discontinuities of the Second Kind
Olav Kallenberg
Ann. Probab. 1(3): 519-526 (June, 1973). DOI: 10.1214/aop/1176996948

Abstract

In this paper it is shown that the classical local conditions for sample continuity of random processes without discontinuities of the second kind may be replaced by weaker ones of a simpler form. When such a process is obtained as the limit in distribution in the Skorohod topology, the new conditions may be conveniently restated in terms of the sequence.

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Olav Kallenberg. "Conditions for Continuity of Random Processes without Discontinuities of the Second Kind." Ann. Probab. 1 (3) 519 - 526, June, 1973. https://doi.org/10.1214/aop/1176996948

Information

Published: June, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0258.60032
MathSciNet: MR370733
Digital Object Identifier: 10.1214/aop/1176996948

Subjects:
Primary: 60G17

Keywords: random processes without discontinuities of the second kind , sample continuity , weak convergence

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 3 • June, 1973
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