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多层蒙特卡洛模拟

多层蒙特卡洛(MLMC)是一种方差缩减技术,它通过结合在多个数值分辨率级别上运行的模拟来估计期望值。粗略、廉价的模拟捕捉了大部分信号;精细、昂贵的模拟仅修正剩余的微小差异——与仅使用最精细级别的标准蒙特卡洛相比,大大降低了总计算成本。

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来源

  1. Giles, M. B. (2008). Multilevel Monte Carlo path simulation. Operations Research, 56(3), 607–617. DOI: 10.1287/opre.1070.0496
  2. Giles, M. B. (2015). Multilevel Monte Carlo methods. Acta Numerica, 24, 259–328. DOI: 10.1017/s096249291500001x

如何引用本页

ScholarGate. (2026, June 3). Multilevel Monte Carlo Simulation. ScholarGate. https://scholargate.app/zh/bayesian/multilevel-monte-carlo-simulation

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ScholarGateMultilevel Monte Carlo Simulation (Multilevel Monte Carlo Simulation). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/multilevel-monte-carlo-simulation · 数据集: https://doi.org/10.5281/zenodo.20539026