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Lecture 57: Levy's characterization

Stochastic integral of complex-valued processes. Levy's characterization of a multidimensional Brownian motion.

From  Tiziano Vargiolu 16 plays 0  

Lecture 45b: stochastic differential of a product

Stochastic differential of a product.

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Lecture 44: multidimensional Ito-Doeblin formula

The multidimensional Ito-Doeblin formula

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Lecture 41: generalized stochastic integral

General definition and properties of stochastic integral.

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Lecture 42: multidimensional Ito processes

Multidimensional stochastic integrals and Ito processes. Quadratic variation and cross variation.

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Lecture 34: multidimensional stochastic calculus

Multidimensional stochastic integrals: definition, linearity, mean and covariance matrix, martingale property, cross-variation.

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Lecture 32: cross-variation

Cross-variation: definition. Cross-variation of independent and correlated Brownian motions.

From  Tiziano Vargiolu 20 plays 0