Approximation at first and second order of -order integrals of the fractional Brownian motion and of certain semimartingales.
Gradinaru, Mihai, Nourdin, Ivan (2003)
Electronic Journal of Probability [electronic only]
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Gradinaru, Mihai, Nourdin, Ivan (2003)
Electronic Journal of Probability [electronic only]
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Baudoin, Fabrice (2002)
Electronic Communications in Probability [electronic only]
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Darses, Sébastian, Nourdin, Ivan (2007)
Electronic Communications in Probability [electronic only]
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Bernardin, Frédéric, Bossy, Mireille, Martinez, Miguel, Talay, Denis (2009)
Electronic Communications in Probability [electronic only]
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El Otmani, Mohamed (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Mytnik, Leonid, Xiong, Jie (2007)
Electronic Journal of Probability [electronic only]
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El-Borai, Mahmoud M., El-Nadi, Khairia El-Said, Mostafa, Osama L., Ahmed, Hamdy M. (2004)
Mathematical Problems in Engineering
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Evans, Steven N., Perkins, Edwin A. (1998)
Electronic Journal of Probability [electronic only]
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Kolokol'tsov, V.N., Schilling, R.L., Tyukov, A.E. (2002)
Electronic Journal of Probability [electronic only]
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Alòs, Elisa, León, Jorge A., Pontier, Monique, Vives, Josep (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Inoue, A., Nakano, Y., Anh, V. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Cheridito, Patrick, Kawaguchi, Hideyuki, Maejima, Makoto (2003)
Electronic Journal of Probability [electronic only]
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Bernard Roynette, Marc Yor (2010)
ESAIM: Probability and Statistics
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We obtain a local limit theorem for the laws of a class of Brownian additive functionals and we apply this result to a penalisation problem. We study precisely the case of the additive functional: . On the other hand, we describe Feynman-Kac type penalisation results for long Brownian bridges thus completing some similar previous study for standard Brownian motion (see [B. Roynette, P. Vallois and M. Yor, (2006) 171–246]).