A Characterization Theorem for the Distribution of a Continuous Local Martingale and Related Limit Theorems

Mathematics – Probability

Scientific paper

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This paper has been withdrawn by the author, because the characterization theorem is incorrect (though the author results sust

Scientific paper

The main result of the article reads: the distribution of a continuous starting from zero local martingale whose quadratic characteristic is almost surely absolutely continuous with respect to some non-random increasing continuous function is determined by the distribution of the quadratic characteristic. Functional limit theorem based on this characterization are proved.

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