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| Vremenski red Bayesski hijerarhijski model× | MCMC za vremenske nizove× | |
|---|---|---|
| Područje | Bayesovska statistika | Bayesovska statistika |
| Obitelj | Bayesian methods | Bayesian methods |
| Godina nastanka≠ | 1989–1997 | 1994–1997 |
| Tvorac≠ | West & Harrison (dynamic models); Gelman et al. (hierarchical Bayesian framework) | Carter & Kohn; West & Harrison |
| Vrsta≠ | Bayesian hierarchical model for time series | Bayesian posterior sampling for time-ordered data |
| Temeljni izvor≠ | West, M. & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259 | Carter, C. K. & Kohn, R. (1994). On Gibbs sampling for state space models. Biometrika, 81(3), 541–553. DOI ↗ |
| Drugi nazivi | TSBHM, Bayesian hierarchical time series, hierarchical dynamic Bayesian model, multilevel Bayesian time series | MCMC time series, Bayesian time series MCMC, time series posterior sampling, sequential Bayesian MCMC |
| Srodne | 6 | 6 |
| Sažetak≠ | A time series Bayesian hierarchical model combines the hierarchical (multilevel) Bayesian framework with a dynamic state-space structure to analyse temporal data collected on multiple units or groups. Priors encode beliefs about both within-unit dynamics and cross-unit variation, and the posterior is obtained via MCMC or sequential Monte Carlo, yielding full probabilistic forecasts with calibrated uncertainty. | Time series MCMC applies Markov chain Monte Carlo methods to Bayesian inference over time-ordered data. Rather than optimising a single parameter estimate, it draws samples from the full joint posterior of parameters and latent states, yielding probability distributions that honestly reflect uncertainty about dynamics, trends, and seasonal patterns across every time point. |
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