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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 754–763
(Mi tvp3660)
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This article is cited in 5 scientific papers (total in 5 papers)
Behavior of random measures under filtration change
V. A. Lebedev M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In this paper, we study the problem of the behavior of $L^p $-valued random measures in the sense of Bichteler and Jacod [Lecture Notes in Control Inform. Sci., 49 (1983), pp. 1–18] and stochastic integrals with respect to them under filtration change and thus give a complete proof of the main result announced by the author in [First World Congress of the Bernoulli Society of Mathematical Statistics and Probability Theory (Abstracts), Vol. II, Nauka, Moscow, 1986, p. 734].
Keywords:
$\sigma$-finite $L^p$-valued random measure, its decomposition, its extension for enlargement of a filtration.
Received: 11.01.1993
Citation:
V. A. Lebedev, “Behavior of random measures under filtration change”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 754–763; Theory Probab. Appl., 40:4 (1995), 645–652
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https://www.mathnet.ru/eng/tvp3660 https://www.mathnet.ru/eng/tvp/v40/i4/p754
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Abstract page: | 166 | Full-text PDF : | 65 | First page: | 11 |
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