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带有测量误差的贝叶斯推断×马尔可夫链蒙特卡洛 (MCMC)×
领域贝叶斯贝叶斯
方法族Bayesian methodsBayesian methods
起源年份1993
提出者Richardson & Gilks (Bayesian formulation); Carroll et al. (comprehensive framework)
类型Bayesian errors-in-variables modelPosterior sampling algorithm
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 modelmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
相关53
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.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
ScholarGate数据集
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  1. v1
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  3. PUBLISHED

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ScholarGate方法对比: Bayesian Inference with Measurement Error · MCMC. 于 2026-06-18 检索自 https://scholargate.app/zh/compare