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| MCMC sa greškom merenja× | Bejzovsko zaključivanje uz grešku merenja× | |
|---|---|---|
| Oblast | Bajesovska statistika | Bajesovska statistika |
| Porodica | Bayesian methods | Bayesian methods |
| Godina nastanka | 1993 | 1993 |
| Tvorac≠ | Richardson & Gilks; Carroll, Ruppert & Stefanski | Richardson & Gilks (Bayesian formulation); Carroll et al. (comprehensive framework) |
| Tip≠ | Bayesian computational estimation | Bayesian errors-in-variables model |
| Temeljni izvor≠ | 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: 978-1584886334 | 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 |
| Drugi nazivi | MCMC errors-in-variables, Bayesian measurement error MCMC, MCMC misclassification model, Bayesian errors-in-variables | Bayesian errors-in-variables model, Bayesian EIV model, Bayesian measurement error model, Bayesian misclassification model |
| Srodne≠ | 6 | 5 |
| Sažetak≠ | MCMC with measurement error applies Markov chain Monte Carlo sampling to Bayesian models that explicitly account for the fact that covariates or outcomes are observed with error. By treating the true, unobserved values as latent variables and sampling their joint posterior alongside all other parameters, the method corrects for attenuation bias and produces valid inference even when some variables cannot be measured exactly. | 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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