Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-6817-8 |
Объём: | 100 страниц |
Масса: | 172 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! Consider a fixed probability space (?, ?, P) and a Hilbert space H; E denotes expectation with respect to P: mathbf{E} [X] : int_{Omega} X(omega) , mathrm{d} mathbf{P}(omega). Intuitively speaking, the Malliavin derivative of a random variable F in Lp(?) is defined by expanding it in terms of Gaussian random variables that are parametrized by the elements of H and differentiating the expansion formally; the Skorokhod integral is the adjoint operation to the Malliavin derivative. Consider a family of R-valued random variables W(h), indexed by the elements h of the Hilbert space H. Assume further that each W(h) is a Gaussian (normal) random variable, that the map taking h to W(h) is a linear map, and that the mean and covariance structure is given by mathbf{E} [W(h)] = 0, mathbf{E} [W(g)W(h)] = langle g, h rangle_{H},
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.