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| Μπεϋζιανή Παλινδρόμηση× | Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)× | |
|---|---|---|
| Πεδίο≠ | Μπεϋζιανή Στατιστική | Οικονομετρία |
| Οικογένεια≠ | Bayesian methods | Regression model |
| Έτος προέλευσης≠ | — | 2019 |
| Δημιουργός≠ | — | Wooldridge (textbook treatment); classical least squares |
| Τύπος≠ | Bayesian linear model | Linear regression |
| Θεμελιώδης πηγή≠ | 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 | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Εναλλακτικές ονομασίες≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Συναφείς≠ | 2 | 5 |
| Σύνοψη≠ | 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. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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