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| Μοντέλο Τυχαίων Συντελεστών Bayes× | Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)× | |
|---|---|---|
| Πεδίο | Οικονομετρία | Οικονομετρία |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 1972–1995 | 2019 |
| Δημιουργός≠ | Lindley & Smith (1972); extended by Gelman, Rubin and colleagues | Wooldridge (textbook treatment); classical least squares |
| Τύπος≠ | Bayesian hierarchical panel 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 hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Συναφείς | 5 | 5 |
| Σύνοψη≠ | The Bayesian random effects model combines panel-data random effects with a Bayesian prior framework, allowing unit-specific effects to be treated as draws from a population distribution whose hyperparameters are estimated from the data. This produces regularised, uncertainty-quantified estimates that borrow strength across units — particularly valuable for short panels, sparse groups, or settings where frequentist variance-component estimation is unstable. | 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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