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Kazamaki's condition : ウィキペディア英語版
Kazamaki's condition
In mathematics Kazamaki's condition gives a sufficient criterion ensuring that the Doléans-Dade exponential of a local martingale is a true martingale. This is particularly important if Girsanov's theorem is to be applied to perform a change of measure. Kazamaki's condition is more general than Novikov's condition.
== Statement of Kazamaki's condition ==
Let M = (M_t)_ be a continuous local martingale with respect to a right-continuous filtration (\mathcal_t)_. If (\exp(M_t/2))_ is a uniformly integrable submartingale, then the Doléans-Dade exponential ''(unicode:Ɛ)''(''M'') of M is a uniformly integrable martingale.

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