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| Bayesijanska inferencija s nedostajućim podacima× | Gibbs uzorkovanje× | |
|---|---|---|
| Područje | Bayesovska statistika | Bayesovska statistika |
| Obitelj | Bayesian methods | Bayesian methods |
| Godina nastanka≠ | 1976–1987 | 1984 |
| Tvorac≠ | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) | Stuart Geman & Donald Geman |
| Vrsta≠ | Bayesian probabilistic model | MCMC sampling algorithm |
| Temeljni izvor≠ | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 | 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 ↗ |
| Drugi nazivi | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling |
| Srodne≠ | 6 | 5 |
| Sažetak≠ | Bayesian inference with missing data treats unobserved values as unknown parameters and integrates them out of the posterior distribution. Rather than deleting or ad hoc imputing incomplete records, the method jointly models observed and missing data under an explicit missing-data mechanism, producing fully calibrated posterior uncertainty that honestly reflects what the data cannot tell us. | 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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