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다층 부트스트랩 시뮬레이션×깁스 샘플링(Gibbs Sampling)×
분야베이지안베이지안
계열Bayesian methodsBayesian methods
기원 연도1979 (bootstrap); multilevel variants c.1990s1984
창시자Efron (1979); multilevel extensions developed through 1980s–2000sStuart Geman & Donald Geman
유형resampling / simulationMCMC sampling algorithm
원전Efron, B. (1979). Bootstrap methods: Another look at the jackknife. The Annals of Statistics, 7(1), 1–26. DOI ↗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. DOI ↗
별칭hierarchical bootstrap, cluster bootstrap, stratified bootstrap for multilevel data, multilevel resamplingGibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling
관련65
요약Multilevel bootstrap simulation is a resampling technique designed for clustered or hierarchically structured data. It preserves the nested data structure by resampling at each level independently — first drawing clusters (e.g., schools, hospitals), then drawing observations within each sampled cluster — so that bootstrap replicate datasets reflect the same multilevel organisation as the original data.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.
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