方法对比

	分层自助法模拟	Gibbs Sampling
领域	贝叶斯	贝叶斯
方法族	Bayesian methods	Bayesian methods
起源年份	1997-2008	1984
提出者	Davison & Hinkley; Cameron, Gelbach & Miller	Stuart Geman & Donald Geman
类型	resampling simulation	MCMC sampling algorithm
开创性文献	Davison, A. C. & Hinkley, D. V. (1997). Bootstrap Methods and their Application. Cambridge University Press. ISBN: 978-0521574716	Geman, S. & Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6(6), 721-741.
别名	cluster bootstrap, multilevel bootstrap, nested bootstrap resampling, hierarchical resampling	Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling
相关	5	5
摘要	Hierarchical bootstrap simulation is a resampling technique designed for data with nested or clustered structure — students within schools, patients within hospitals, repeated measures within subjects. It preserves the natural grouping of the data by resampling at each level of the hierarchy in sequence, producing a sampling distribution that correctly reflects both between-group and within-group variability.	Gibbs sampling is a Markov chain Monte Carlo algorithm that approximates a high-dimensional posterior distribution by repeatedly drawing each parameter from its full conditional distribution given all other parameters and the data. Because each draw is exact from a conditional — not a proposal that may be rejected — the sampler is efficient when those conditionals are available in closed form.