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| Μπεϋζιανή Συμπερασματολογία με Ελλείποντα Δεδομένα× | Προσέγγιση Bayesian με Ελλιπή Δεδομένα× | |
|---|---|---|
| Πεδίο | Μπεϋζιανή Στατιστική | Μπεϋζιανή Στατιστική |
| Οικογένεια | Bayesian methods | Bayesian methods |
| Έτος προέλευσης≠ | 1976–1987 | 2002 (ABC); 1987 (missing data theory) |
| Δημιουργός≠ | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) | Beaumont, Zhang & Balding (ABC); Rubin (missing data framework) |
| Τύπος≠ | Bayesian probabilistic model | likelihood-free Bayesian inference |
| Θεμελιώδης πηγή≠ | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 | Beaumont, M. A., Zhang, W. & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035. link ↗ |
| Εναλλακτικές ονομασίες | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model | ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD |
| Συναφείς | 6 | 6 |
| Σύνοψη≠ | 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. | 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. |
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