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Central limit theorem for the multilevel Monte Carlo Euler method
11 references·2 citing·35 second hop
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References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 2008Multilevel Monte Carlo Path Simulation1,436 cited
  • 1990Stochastic Integration and Differential Equations1,195 cited
  • 1998Asymptotic error distributions for the Euler method for stochastic differential equations400 cited
  • 2007Improved Multilevel Monte Carlo Convergence using the Milstein Scheme205 cited
  • 1995Efficient Monte Carlo Simulation of Security Prices173 cited
  • 2010Monte Carlo Methods and Models in Finance and Insurance165 cited
  • 2005Statistical Romberg extrapolation: A new variance reduction method and applications to option pricing134 cited
  • 2010Multilevel Monte Carlo algorithms for Lévy-driven SDEs with Gaussian correction98 cited
  • 2009Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff78 cited
  • 2013Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations78 cited

Cited by

  • 2017Unbiased simulation of stochastic differential equations30 cited
  • 2016Multi-level stochastic approximation algorithms23 cited

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