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Strong order one convergence of a drift implicit Euler scheme: application to the CIR process - MaRDI portal

Strong order one convergence of a drift implicit Euler scheme: application to the CIR process (Q1950672)

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Strong order one convergence of a drift implicit Euler scheme: application to the CIR process
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    Strong order one convergence of a drift implicit Euler scheme: application to the CIR process (English)
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    13 May 2013
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    This paper considers the strong convergence of a drift implicit Euler method applied to the scalar Cox-Ingersoll-Ross problem. This is done through an Itô transformation via a square root process which converts the problem to an additive noise one. Strong convergence of order one is obtained under certain restrictions on the model parameters.
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    drift implicit Euler scheme
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    Cox-Ingersoll-Ross model
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    strong error
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    Lamperti transformation
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