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| ベイズ型確率モデル× | プロビット回帰モデル× | |
|---|---|---|
| 分野≠ | 統計学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1993 | 2018 |
| 提唱者≠ | Albert & Chib (data augmentation formulation) | Greene (textbook treatment); classical discrete-choice modelling |
| 種類≠ | Binary regression (Bayesian) | Binary discrete-choice model |
| 原典≠ | 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 ↗ | Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson. ISBN: 978-0134461366 |
| 別名≠ | Bayesian probit regression, probit model with data augmentation, Gibbs sampling probit, Albert-Chib probit | probit regression, normit model, Probit Modeli |
| 関連≠ | 6 | 5 |
| 概要≠ | 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. | The probit model is a regression method for a binary (0/1) outcome that maps a linear index of the predictors through the standard normal cumulative distribution function to produce a probability. It is a classical discrete-choice alternative to logistic regression, developed in standard econometrics treatments such as Greene's Econometric Analysis (2018). |
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