Bayesian methodsBayesian / computational
Bayesian Inference with Measurement Error
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.
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Sources
- 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: 978-1584886433
- Richardson, S., & Gilks, W. R. (1993). A Bayesian approach to measurement error problems in epidemiology using conditional independence models. American Journal of Epidemiology, 138(6), 430–442. DOI: 10.1093/oxfordjournals.aje.a116875 ↗
Related methods
Referenced by
Approximate Bayesian Computation with Measurement ErrorBayesian Network with Measurement ErrorGibbs Sampling with Measurement ErrorHamiltonian Monte Carlo with Measurement ErrorMCMC with Measurement ErrorMetropolis-Hastings with measurement errorRobust Approximate Bayesian ComputationSequential Monte Carlo with Measurement ErrorVariational Inference with Measurement Error