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New Itô--Taylor expansions - MaRDI portal

New Itô--Taylor expansions (Q1408408)

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scientific article; zbMATH DE number 1981530
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New Itô--Taylor expansions
scientific article; zbMATH DE number 1981530

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    New Itô--Taylor expansions (English)
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    15 September 2003
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    Weak Itô-Taylor expansions are presented for the functional \(f(t, X_t)\), where \(X_t\) is the solution of a vector Itô stochastic differential equation. A systematic approach for finding the terms in the expansions is described and then used to list the terms up to order 6 for the one-dimensional case.
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    stochastic differential equations
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    Itô-Taylor expansions
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    weak approximation
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