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| Višerazinska bootstrap simulacija× | Višerazinska varijaciona inferencija× | |
|---|---|---|
| Oblast | Bajesovska statistika | Bajesovska statistika |
| Porodica | Bayesian methods | Bayesian methods |
| Godina nastanka≠ | 1979 (bootstrap); multilevel variants c.1990s | 2016 |
| Tvorac≠ | Efron (1979); multilevel extensions developed through 1980s–2000s | Ranganath, Altosaar, Tran, Blei (hierarchical VI formalization, 2016); Blei et al. (VI framework, 2017) |
| Tip≠ | resampling / simulation | approximate Bayesian inference |
| Temeljni izvor≠ | Efron, B. (1979). Bootstrap methods: Another look at the jackknife. The Annals of Statistics, 7(1), 1–26. DOI ↗ | Blei, D. M., Kucukelbir, A., & McAuliffe, J. D. (2017). Variational inference: A review for statisticians. Journal of the American Statistical Association, 112(518), 859-877. DOI ↗ |
| Drugi nazivi | hierarchical bootstrap, cluster bootstrap, stratified bootstrap for multilevel data, multilevel resampling | hierarchical variational inference, multilevel VI, variational Bayes for multilevel models, MLVI |
| Srodne≠ | 6 | 4 |
| Sažetak≠ | Multilevel bootstrap simulation is a resampling technique designed for clustered or hierarchically structured data. It preserves the nested data structure by resampling at each level independently — first drawing clusters (e.g., schools, hospitals), then drawing observations within each sampled cluster — so that bootstrap replicate datasets reflect the same multilevel organisation as the original data. | Multilevel variational inference (MLVI) is a scalable approximate Bayesian method that fits hierarchical (multilevel) models by optimizing a variational approximation to the posterior, rather than drawing MCMC samples. It exploits the grouped structure of multilevel data — individuals nested within groups, groups nested within higher-level units — to derive efficient coordinate-wise updates, making Bayesian inference tractable for large clustered datasets. |
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