The exponential of the square module of a diffusion

The exponential of the square module of a diffusion

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Article ID: iaor19961330
Country: Belgium
Volume: 36
Start Page Number: 279
End Page Number: 281
Publication Date: Sep 1994
Journal: Cahiers du Centre d'tudes de Recherche Oprationnelle
Authors:
Keywords: stochastic processes, probability
Abstract:

A natural proof is given of a useful bound of the expectation of the exponential of the square modulus of a multi-dimensional diffusion; it is optimal in the sense that the Ornstein-Uhlenbeck process attains it. It is not to be considered as a really new result but I have not been able to find a proper reference giving this bound.

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