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| 欠損データを伴う近似ベイズ計算× | 欠損値を含むベイズ推論× | |
|---|---|---|
| 分野 | ベイズ | ベイズ |
| 系統 | Bayesian methods | Bayesian methods |
| 提唱年≠ | 2002 (ABC); 1987 (missing data theory) | 1976–1987 |
| 提唱者≠ | Beaumont, Zhang & Balding (ABC); Rubin (missing data framework) | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) |
| 種類≠ | likelihood-free Bayesian inference | Bayesian probabilistic model |
| 原典≠ | Beaumont, M. A., Zhang, W. & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035. link ↗ | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 |
| 別名 | ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model |
| 関連 | 6 | 6 |
| 概要≠ | Approximate Bayesian Computation with missing data extends the likelihood-free ABC framework to settings where observations are incomplete or partially recorded. By simulating data under a posited model and accepting parameter draws whose simulated summary statistics are close to the observed ones, it bypasses the need to evaluate an intractable likelihood — even when some data values are absent. | 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. |
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