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Importance Sampling — 稀有事件的方差缩减

Importance sampling 是一种蒙特卡洛方差缩减技术,它将采样分布移向感兴趣的区域——通常是稀有或极端事件——以便比原始分布更有可能抽取到信息性样本。该技术由 Herman Kahn 和 Theodore Harris 于 1951 年左右在 RAND 公司开发,它使得尾部概率估计(如 Value-at-Risk 或系统故障概率)在标准蒙特卡洛需要天文数字次运行的情况下变得可行。

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来源

  1. Rubinstein, R.Y. & Kroese, D.P. (2016). Simulation and the Monte Carlo Method (3rd ed.). Wiley. DOI: 10.1002/9781118631980
  2. Glasserman, P. (2003). Monte Carlo Methods in Financial Engineering. Springer. DOI: 10.1007/978-0-387-21617-1

如何引用本页

ScholarGate. (2026, June 1). Importance Sampling (Variance Reduction Monte Carlo). ScholarGate. https://scholargate.app/zh/simulation/importance-sampling

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被引用于

ScholarGateImportance Sampling (Importance Sampling (Variance Reduction Monte Carlo)). 于 2026-06-15 检索自 https://scholargate.app/zh/simulation/importance-sampling · 数据集: https://doi.org/10.5281/zenodo.20539026