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New approach to anticipative stochastic integration

Benedykt Szozda
(Department of Mathematics, Aarhus University)
Thiele Seminar
Thursday, 17 January, 2013, at 13:15-14:00, in Aud. D1 (1531-113)

In this talk we will give a short review of the Itô stochastic integal and present an extension of this integral onto a class of anticipating stochastic processes introduced by Ayed and Kuo in 2008. Next, we will present some of the properties of the new integral. Among those are the near-martingale property --- an anticipating counterpart of the martingale property, an isometry formula, and several Itô formulas. The results presented in this talk are based on joint work with Hui-Hsiung Kuo and Anuwat Sae-Tang.

Organised by: The T.N. Thiele Centre
Contact person: Søren Asmussen