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| Robustní nulově-inflační model× | Model s nadměrným počtem nul× | |
|---|---|---|
| Obor | Statistika | Statistika |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1990s–2000s | 1992 |
| Tvůrce≠ | Extension of Lambert (1992) ZIP model combined with robust M-estimation and sandwich standard errors | Diane Lambert |
| Typ≠ | Robust count regression with excess zeros | Count regression with excess zeros |
| Původní zdroj≠ | Zeileis, A., Kleiber, C., & Jackman, S. (2008). Regression models for count data in R. Journal of Statistical Software, 27(8), 1–25. DOI ↗ | Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI ↗ |
| Další názvy | robust ZIP, robust ZINB, outlier-resistant zero-inflated regression, robust zero-inflated Poisson | ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial |
| Příbuzné≠ | 5 | 6 |
| Shrnutí≠ | The robust zero-inflated model extends standard zero-inflated count regression — which handles excess zeros via a mixture of a point mass at zero and a count distribution — by replacing or supplementing classical maximum likelihood with robust estimation techniques (M-estimators, sandwich standard errors) that protect against the distorting influence of outlying observations. | 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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