XIII: 12, 142-161, LNM 721 (1979)
MÉMIN, Jean;
SHIRYAEV, Albert N.
Un critère prévisible pour l'uniforme intégrabilité des semimartingales exponentielles (
Martingale theory)
A condition is given so that the stochastic exponential of a special semimartingale $X$ is a uniformly integrable process. It involves only the local characteristics of $X$, i.e., its previsible compensator, Lévy measure, and quadratic variation of the continuous martingale part. The proof rests on multiplicative decompositions, and known results in the case of martingales
Keywords: Stochastic exponentials,
Semimartingales,
Multiplicative decomposition,
Local characteristicsNature: Original
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XXXVIII: 12, 165-185, LNM 1857 (2005)
CHERNY, Alexander S.;
SHIRYAEV, Albert N.
On stochastic integrals up to infinity and predictable criteria for integrability
