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| Regression with Ordinary Least Squares (OLS)× | Regressione Lasso× | Modello a Effetti Fissi per Dati Panel× | Regressione quantilica× | |
|---|---|---|---|---|
| Campo≠ | Econometria | Apprendimento automatico | Econometria | Econometria |
| Famiglia≠ | Regression model | Machine learning | Regression model | Regression model |
| Anno di origine≠ | 2019 | 1996 | 2014 | 1978 |
| Ideatore≠ | Wooldridge (textbook treatment); classical least squares | Tibshirani, R. | Hsiao (textbook treatment); within transformation of panel data | Koenker & Bassett |
| Tipo≠ | Linear regression | Regularized linear regression (L1 penalty) | Panel data regression | Conditional quantile regression |
| Fonte seminale≠ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗ | Hsiao, C. (2014). Analysis of Panel Data (3rd ed.). Cambridge University Press. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Alias≠ | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | LASSO Regresyonu, lasso, L1-regularized regression, L1 regularization | fixed effects model, within estimator, panel fixed-effects regression, Panel Veri — Sabit Etkiler Modeli | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Correlati≠ | 5 | 4 | 5 | 5 |
| Sintesi≠ | 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). | Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter. | The Panel Data Fixed Effects model estimates relationships from panel data (the same units observed over several time periods) while controlling for unit- and/or time-specific effects, supporting causal inference. It is developed as the within estimator in standard treatments such as Hsiao's Analysis of Panel Data (2014). | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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