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方法族Bayesian methodsBayesian methods
起源年份19931972 (Lindley & Smith); consolidated 1995–2013
提出者Richardson & Gilks (Bayesian formulation); Carroll et al. (comprehensive framework)Lindley & Smith; Gelman et al.
类型Bayesian errors-in-variables modelBayesian multilevel model
开创性文献Carroll, R. J., Ruppert, D., Stefanski, L. A., & Crainiceanu, C. M. (2006). Measurement Error in Nonlinear Models: A Modern Perspective (2nd ed.). Chapman & Hall/CRC. ISBN: 978-1584886433Gelman, 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 errors-in-variables model, Bayesian EIV model, Bayesian measurement error model, Bayesian misclassification modelmultilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
相关56
摘要Bayesian inference with measurement error extends the standard Bayesian framework to situations where one or more covariates or outcomes are observed with noise or misclassification. By treating the true unobserved values as latent variables and assigning them priors, the model jointly estimates the true exposure distribution and the structural parameters of interest, propagating all uncertainty through the posterior.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.
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ScholarGate方法对比: Bayesian Inference with Measurement Error · Hierarchical Bayesian Inference. 于 2026-06-18 检索自 https://scholargate.app/zh/compare