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| Προσομοίωση Bootstrap με Ελλιπή Δεδομένα× | Δειγματοληψία Gibbs με Ελλιπή Δεδομένα× | |
|---|---|---|
| Πεδίο | Μπεϋζιανή Στατιστική | Μπεϋζιανή Στατιστική |
| Οικογένεια | Bayesian methods | Bayesian methods |
| Έτος προέλευσης≠ | 1979–1990s | 1987–1990 |
| Δημιουργός≠ | Bradley Efron (bootstrap); missing-data extensions by Efron, Little, Rubin and others | Tanner & Wong (data augmentation), Gelfand & Smith (Gibbs sampler) |
| Τύπος≠ | Resampling simulation | Bayesian computational method |
| Θεμελιώδης πηγή≠ | Efron, B. & Tibshirani, R. J. (1993). An Introduction to the Bootstrap. Chapman and Hall/CRC. ISBN: 978-0412042317 | Tanner, M. A. & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the American Statistical Association, 82(398), 528–540. DOI ↗ |
| Εναλλακτικές ονομασίες | bootstrap with missing data, bootstrap imputation simulation, resampling under missingness, bootstrap MI | data augmentation Gibbs sampler, Gibbs sampler with data augmentation, Bayesian imputation via Gibbs sampling, MCMC missing data imputation |
| Συναφείς≠ | 5 | 6 |
| Σύνοψη≠ | Bootstrap simulation with missing data combines resampling-based variance estimation with principled handling of incomplete observations. Rather than deleting cases or assuming complete data, the method integrates imputation or weighting directly into the bootstrap loop, propagating the additional uncertainty due to missingness into the final standard errors and confidence intervals. | Gibbs sampling with missing data treats unobserved values as additional unknowns alongside model parameters and samples all of them jointly within a Markov chain Monte Carlo loop. The method alternates between drawing the missing values from their conditional distribution given the parameters and drawing the parameters from their conditional distribution given the completed data, producing a posterior over both simultaneously. |
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