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| Παλινδρόμηση Poisson και Αρνητική Διωνυμική× | Λογιστική Παλινδρόμηση× | Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)× | |
|---|---|---|---|
| Πεδίο≠ | Οικονομετρία | Ερευνητική Στατιστική | Οικονομετρία |
| Οικογένεια≠ | Regression model | Process / pipeline | Regression model |
| Έτος προέλευσης≠ | 1998 | 1958 | 2019 |
| Δημιουργός≠ | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) | David Roxbee Cox | Wooldridge (textbook treatment); classical least squares |
| Τύπος≠ | Generalized linear model for count data | Method | Linear regression |
| Θεμελιώδης πηγή≠ | Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Εναλλακτικές ονομασίες≠ | count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon | logit model, binomial logistic regression, LR | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Συναφείς≠ | 4 | 3 | 5 |
| Σύνοψη≠ | Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred. | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. | 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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