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Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design*

机译:Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design*

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We consider regular partitionsof the interval 0,T intonsubintervals based on a sampling densityh. Ifxtis the solution of the original stochastic differential equation andis the approximate solution using the Euler-Maruyama scheme corresponding to a time discretization partition #x3C0;, we find the limit

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