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The Euler scheme for Lévy driven stochastic differential equations: limit theorems. - MaRDI portal

The Euler scheme for Lévy driven stochastic differential equations: limit theorems. (Q1878983)

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The Euler scheme for Lévy driven stochastic differential equations: limit theorems.
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    The Euler scheme for Lévy driven stochastic differential equations: limit theorems. (English)
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    15 September 2004
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    The author studies the Euler scheme for the discrete time approximation of stochastic differential equations driven by Lévy processes. It provides limit theorems for the rate of convergence when a normalized error process is used. Nontrivial limits for the normalized error process are identified for various important cases. These include symmetric stable processes and other stable processes.
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    Euler scheme
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    Lévy process
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    rate of convergence
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    stochastic differential equations
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    limit theorems
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    error process
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