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| Mô hình phân cấp Bayes có dữ liệu thiếu× | MCMC với dữ liệu thiếu× | |
|---|---|---|
| Lĩnh vực | Bayes | Bayes |
| Họ | Bayesian methods | Bayesian methods |
| Năm ra đời≠ | 1990s–2000s | 1987 |
| Người khởi xướng≠ | Gelman, Rubin, Little (and collaborators) | Tanner & Wong (data augmentation); extended by Gelfand & Smith, Rubin |
| Loại≠ | Bayesian hierarchical model with missing-data integration | Bayesian computational method |
| Công trình gốc≠ | 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 | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley. ISBN: 978-0471183860 |
| Tên gọi khác | BHM missing data, multilevel Bayesian missing data model, hierarchical Bayesian imputation, Bayesian multilevel model with incomplete data | MCMC missing data, data augmentation MCMC, Bayesian multiple imputation, MCMC imputation |
| Liên quan≠ | 5 | 6 |
| Tóm tắt≠ | A Bayesian hierarchical model with missing data treats unobserved values as additional unknowns and samples them jointly with all model parameters from the posterior. The nested structure of the hierarchy borrows strength across groups, while the Bayesian framework naturally propagates uncertainty from missingness through every estimate and prediction. | MCMC with missing data is a Bayesian computational strategy that treats unobserved values as additional unknown parameters. By alternating between sampling the missing values from their predictive distribution and sampling the model parameters from their posterior, the algorithm produces a valid joint posterior that fully accounts for uncertainty introduced by the missingness. |
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