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| Robust nul-inflateret model× | Robust Regression× | |
|---|---|---|
| Fagområde | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Oprindelsesår≠ | 1990s–2000s | 1964 |
| Ophavsperson≠ | Extension of Lambert (1992) ZIP model combined with robust M-estimation and sandwich standard errors | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| Type≠ | Robust count regression with excess zeros | Regression with outlier resistance |
| Oprindelig kilde≠ | Zeileis, A., Kleiber, C., & Jackman, S. (2008). Regression models for count data in R. Journal of Statistical Software, 27(8), 1–25. DOI ↗ | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| Aliasser | robust ZIP, robust ZINB, outlier-resistant zero-inflated regression, robust zero-inflated Poisson | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| Relaterede≠ | 5 | 6 |
| Resumé≠ | 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. | Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed. |
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