精确蒙特卡罗模拟研究进展

Hongsheng Dai
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引用次数: 2

摘要

完全蒙特卡罗抽样是指精确地从目标分布中抽样随机实现(没有任何统计误差)。虽然在完美蒙特卡罗采样领域已经开发了许多不同的方法并实现了各种各样的应用,但研究人员主要提到的是过去耦合(CFTP),它可以纠正马尔可夫链蒙特卡罗(MCMC)算法产生的蒙特卡罗样本的统计误差。本文简要介绍了CFTP和其他完善的蒙特卡罗采样方法的最新发展和应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Review on the Exact Monte Carlo Simulation
Perfect Monte Carlo sampling refers to sampling random realizations exactly from the target distributions (without any statistical error). Although many different methods have been developed and various applications have been implemented in the area of perfect Monte Carlo sampling, it is mostly referred by researchers to coupling from the past (CFTP) which can correct the statistical errors for the Monte Carlo samples generated by Markov chain Monte Carlo (MCMC) algorithms. This paper provides a brief review on the recent developments and applications in CFTP and other perfect Monte Carlo sampling methods.
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