The generalized covariation process and Itô formula (Q1904537)
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scientific article; zbMATH DE number 828744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized covariation process and Itô formula |
scientific article; zbMATH DE number 828744 |
Statements
The generalized covariation process and Itô formula (English)
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30 June 1996
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The authors define the covariation process \([X,Y]\) associated with certain real-valued stochastic processes \(X\) and \(Y\), using a limit procedure. This covariation process is made explicit in some examples, including the special case when \(X\) and \(Y\) are given in the form of a Skorokhod integral. Following an earlier work of \textit{H. Föllmer} [in: Séminaire de probabilités XV. Lect. Notes Math. 850, 143-150 (1981; Zbl 0461.60074)], an extension of Itô's formula is proven.
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covariation process
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Ito formula
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anticipating stochastic calculus
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