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This article is cited in 20 scientific papers (total in 20 papers)
Optional martingales
L. I. Gal'chuk
Abstract:
In this paper it is proved that every optional local martingale $X$ is representable in the form $X=X^g+X^c+X^d$, where $X^c$ is a continuous martingale, $X^d$ is right continuous and $X^g$ is left continuous.
The paper also contains results concerning square-integrable martingales. In paticular, a definition of stochastic integrals with respect to optional martingales is given, and a formula for change of variables is proved.
Bibliography: 13 titles.
Received: 18.12.1979
Citation:
L. I. Gal'chuk, “Optional martingales”, Math. USSR-Sb., 40:4 (1981), 435–468
Linking options:
https://www.mathnet.ru/eng/sm2735https://doi.org/10.1070/SM1981v040n04ABEH001838 https://www.mathnet.ru/eng/sm/v154/i4/p483
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