Skorohod stochastic integration with respect to non-adapted processes on Wiener space

نویسنده

  • Nicolas Privault
چکیده

Abstract We define a Skorohod type anticipative stochastic integral that extends the Itô integral not only with respect to the Wiener process, but also with respect to a wide class of stochastic processes satisfying certain homogeneity and smoothness conditions, without requirements relative to filtrations such as adaptedness. Using this integral, a change of variable formula that extends the classical and Skorohod Itô formulas is obtained.

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تاریخ انتشار 2007