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Theory of Stochastic Processes, 2016, Volume 21(37), Issue 2, Pages 91–95 (Mi thsp164)  
Transfer theorems and right-continuous processes

Pietro Rigoa, Hermann Thorissonb

a Dipartimento di Matematica ``F. Casorati'', Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italy
b Science Institute, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland
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Abstract: A counterexample to a transfer result in [5] (Theorem 2.4, Chap. 4) is given. A new result, which provides a reasonable substitute for the disproved one, is proved as well. This result yields, in particular, a transfer theorem for processes whose paths are right-continuous but not necessarily cadlag.
Keywords: Coupling, perfect probability measure, regular conditional distribution, transfer theorem.
Bibliographic databases:
Document Type: Article
MSC: 60A05, 60A10, 60F99, 60G07, 60G17
Language: English
Citation: Pietro Rigo, Hermann Thorisson, “Transfer theorems and right-continuous processes”, Theory Stoch. Process., 21(37):2 (2016), 91–95
Citation in format AMSBIB
\Bibitem{RigTho16}
\by Pietro Rigo, Hermann Thorisson
\paper Transfer theorems and right-continuous processes
\jour Theory Stoch. Process.
\yr 2016
\vol 21(37)
\issue 2
\pages 91--95
\mathnet{http://mi.mathnet.ru/thsp164}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3662597}
\zmath{https://zbmath.org/?q=an:1374.60003}
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