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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 72, Pages 186–201
(Mi znsl1975)
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This article is cited in 1 scientific paper (total in 1 paper)
Property of “correct exit” and one limit theorem for semi-Markov processes
B. P. Harlamov
Abstract:
A necessary and sufficient condition on weak convergence of a sequence or probability measures in the space $D_{[0,\infty)}(X)$ is formulated in terms of first exit times. The proof of necessity is based on continuity of first exit times and first exit points with respect to the Stone–Skorokhod metric on the set of functions that “correctly exit” from an open set $\Delta\subset X$. A limit theorem for semi-Markov processes is proved as an application.
Citation:
B. P. Harlamov, “Property of “correct exit” and one limit theorem for semi-Markov processes”, Problems of the theory of probability distributions. Part IV, Zap. Nauchn. Sem. LOMI, 72, "Nauka", Leningrad. Otdel., Leningrad, 1977, 186–201; J. Soviet Math., 23:3 (1983), 2352–2362
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https://www.mathnet.ru/eng/znsl1975 https://www.mathnet.ru/eng/znsl/v72/p186
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Abstract page: | 128 | Full-text PDF : | 55 |
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