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| Bayesi proobitmudel× | Bayes'i üldistatud lineaarmudel× | |
|---|---|---|
| Valdkond | Statistika | Statistika |
| Perekond | Regression model | Regression model |
| Tekkeaasta≠ | 1993 | 1989 (GLM); 1995 (Bayesian BDA) |
| Looja≠ | Albert & Chib (data augmentation formulation) | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. |
| Tüüp≠ | Binary regression (Bayesian) | Bayesian regression model |
| Algallikas≠ | Albert, J. H., & Chib, S. (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association, 88(422), 669-679. DOI ↗ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 |
| Rööpnimetused | Bayesian probit regression, probit model with data augmentation, Gibbs sampling probit, Albert-Chib probit | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM |
| Seotud | 6 | 6 |
| Kokkuvõte≠ | The Bayesian Probit model is a binary regression method that models the probability of a binary outcome using the normal CDF (probit link) within a Bayesian framework. It assigns prior distributions to regression coefficients and updates them with observed data, yielding a full posterior distribution rather than a single point estimate. The Albert-Chib data-augmentation algorithm makes posterior sampling computationally efficient via Gibbs sampling. | A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome. |
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