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| Μπεϋζιανή Συμπερασματολογία με Ελλείποντα Δεδομένα× | Μπεϋζιανή Παλινδρόμηση× | |
|---|---|---|
| Πεδίο | Μπεϋζιανή Στατιστική | Μπεϋζιανή Στατιστική |
| Οικογένεια | Bayesian methods | Bayesian methods |
| Έτος προέλευσης≠ | 1976–1987 | — |
| Δημιουργός≠ | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) | — |
| Τύπος≠ | Bayesian probabilistic model | Bayesian linear model |
| Θεμελιώδης πηγή≠ | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 | Gelman, 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 |
| Εναλλακτικές ονομασίες≠ | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model | bayesian linear regression, probabilistic regression, bayesian regresyon |
| Συναφείς≠ | 6 | 2 |
| Σύνοψη≠ | 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. | Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off. |
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