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| Approximate Bayesian Computation mit fehlenden Daten× | Multiple Imputation – MICE× | |
|---|---|---|
| Fachgebiet≠ | Bayes-Statistik | Statistik |
| Familie≠ | Bayesian methods | Process / pipeline |
| Entstehungsjahr≠ | 2002 (ABC); 1987 (missing data theory) | 1987 |
| Urheber≠ | Beaumont, Zhang & Balding (ABC); Rubin (missing data framework) | Donald B. Rubin |
| Typ≠ | likelihood-free Bayesian inference | Missing-data handling procedure |
| Wegweisende Quelle≠ | Beaumont, M. A., Zhang, W. & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035. link ↗ | Rubin, D.B. (1987). Multiple Imputation for Nonresponse in Surveys. Wiley. DOI ↗ |
| Aliasnamen≠ | ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD | MICE, Multivariate Imputation by Chained Equations, Çoklu Atama (Multiple Imputation — MICE) |
| Verwandt≠ | 6 | 1 |
| Zusammenfassung≠ | 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. | Multiple Imputation (MI), formally introduced by Donald B. Rubin in 1987, is a principled statistical procedure for handling missing data. Rather than replacing each missing value once, MI fills the gaps m times — each time drawing plausible values from the posterior predictive distribution of the missing data — producing m complete datasets. Each dataset is analysed independently, and the results are combined into a single set of estimates using Rubin's pooling rules. The MICE variant (Multivariate Imputation by Chained Equations), popularised by van Buuren and Groothuis-Oudshoorn (2011), extends the approach to mixed variable types by imputing each variable in turn through a sequence of conditional regression models. |
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