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| Μοντέλο Tobit Bayes× | Μοντέλο με Υπερβολικό Πλήθος Μηδενικών× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 1958 (classical); 1992 (Bayesian formulation) | 1992 |
| Δημιουργός≠ | James Tobin (classical Tobit, 1958); Siddhartha Chib (Bayesian Tobit, 1992) | Diane Lambert |
| Τύπος≠ | Bayesian censored/limited-dependent-variable regression | Count regression with excess zeros |
| Θεμελιώδης πηγή≠ | Tobin, J. (1958). Estimation of relationships for limited dependent variables. Econometrica, 26(1), 24–36. DOI ↗ | Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI ↗ |
| Εναλλακτικές ονομασίες | Bayesian censored regression, Bayesian Type I Tobit, Bayesian truncated regression, Tobit with priors | ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial |
| Συναφείς≠ | 5 | 6 |
| Σύνοψη≠ | The Bayesian Tobit model extends Tobin's censored regression framework by replacing maximum-likelihood point estimates with a full posterior distribution over regression coefficients and error variance. By embedding Gibbs sampling with data augmentation, it produces credible intervals, handles small censored samples gracefully, and naturally incorporates prior knowledge about effect sizes. | A zero-inflated model is a two-component mixture regression designed for count outcomes that contain more zero values than a standard Poisson or negative binomial distribution can accommodate. One component is a binary process that generates structural zeros; the other is a count process that generates both zeros and positive counts. |
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