An Introduction to Sequential Monte Carlo Methods

作者: Arnaud Doucet , Nando Freitas , Neil Gordon

DOI: 10.1007/978-1-4757-3437-9_1

关键词: Posterior probabilityMarkov chain Monte CarloMonte Carlo integrationQuasi-Monte Carlo methodInferenceMonte Carlo methodAlgorithmComputer scienceBayesian probabilityBayes' theorem

摘要: Many real-world data analysis tasks involve estimating unknown quantities from some given observations. In most of these applications, prior knowledge about the phenomenon being modelled is available. This allows us to formulate Bayesian models, that distributions for and likelihood functions relating Within this setting, all inference on based posterior distribution obtained Bayes’ theorem. Often, observations arrive sequentially in time one interested performing on-line. It therefore necessary update as become Examples include tracking an aircraft using radar measurements, a digital communications signal noisy or volatility financial instruments stock market data. Computational simplicity form not having store might also be additional motivating factor sequential methods.

参考文章(1)
N.J. Gordon, D.J. Salmond, A.F.M. Smith, Novel approach to nonlinear/non-Gaussian Bayesian state estimation IEE Proceedings F Radar and Signal Processing. ,vol. 140, pp. 107- 113 ,(1993) , 10.1049/IP-F-2.1993.0015