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| 欠損値を含むベイズ推論× | 欠損値を含むMCMC (MCMC with missing data)× | |
|---|---|---|
| 分野 | ベイズ | ベイズ |
| 系統 | Bayesian methods | Bayesian methods |
| 提唱年≠ | 1976–1987 | 1987 |
| 提唱者≠ | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) | Tanner & Wong (data augmentation); extended by Gelfand & Smith, Rubin |
| 種類≠ | Bayesian probabilistic model | Bayesian computational method |
| 原典≠ | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley. ISBN: 978-0471183860 |
| 別名 | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model | MCMC missing data, data augmentation MCMC, Bayesian multiple imputation, MCMC imputation |
| 関連 | 6 | 6 |
| 概要≠ | Bayesian inference with missing data treats unobserved values as unknown parameters and integrates them out of the posterior distribution. Rather than deleting or ad hoc imputing incomplete records, the method jointly models observed and missing data under an explicit missing-data mechanism, producing fully calibrated posterior uncertainty that honestly reflects what the data cannot tell us. | 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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