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| Χρονοσειρές και Μπεϋζιανή Συμπερασματολογία× | Μπεϋζιανή Παλινδρόμηση× | |
|---|---|---|
| Πεδίο | Μπεϋζιανή Στατιστική | Μπεϋζιανή Στατιστική |
| Οικογένεια | Bayesian methods | Bayesian methods |
| Έτος προέλευσης≠ | 1989 | — |
| Δημιουργός≠ | Mike West and Jeff Harrison | — |
| Τύπος≠ | Bayesian probabilistic model | Bayesian linear model |
| Θεμελιώδης πηγή≠ | West, M. & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259 | 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 time series analysis, Bayesian state-space modeling, probabilistic time series inference, BSTS | bayesian linear regression, probabilistic regression, bayesian regresyon |
| Συναφείς≠ | 6 | 2 |
| Σύνοψη≠ | Time series Bayesian inference applies Bayes' theorem sequentially to time-ordered observations, maintaining a full probability distribution over hidden states and model parameters at every time step. This framework unifies state-space models, dynamic linear models, and particle filters, producing calibrated uncertainty for both filtering (real-time) and retrospective smoothing tasks. | 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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