方法对比

	时间序列贝叶斯推断	分层贝叶斯推断
领域	贝叶斯	贝叶斯
方法族	Bayesian methods	Bayesian methods
起源年份	1989	1972 (Lindley & Smith); consolidated 1995–2013
提出者	Mike West and Jeff Harrison	Lindley & Smith; Gelman et al.
类型	Bayesian probabilistic model	Bayesian multilevel model
开创性文献	West, M. & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
别名	Bayesian time series analysis, Bayesian state-space modeling, probabilistic time series inference, BSTS	multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
相关	6	6
摘要	Time series Bayesian inference applies Bayes' theorem sequentially to time-ordered observations, maintaining a full probability distribution over hidden states and model parameters at every time step. This framework unifies state-space models, dynamic linear models, and particle filters, producing calibrated uncertainty for both filtering (real-time) and retrospective smoothing tasks.	Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate.