قارن الطرق

	المتوسط الترجيحي البايزي للسلاسل الزمنية	الاستدلال البيزي للسلاسل الزمنية
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	1999–2010	1989
صاحب الطريقة	Hoeting, Madigan, Raftery, Volinsky (BMA); Raftery et al. for dynamic/time-series extensions	Mike West and Jeff Harrison
النوع	Bayesian ensemble / model combination	Bayesian probabilistic model
المصدر التأسيسي	Hoeting, J. A., Madigan, D., Raftery, A. E., & Volinsky, C. T. (1999). Bayesian model averaging: A tutorial. Statistical Science, 14(4), 382–401.	West, M. & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259
الأسماء البديلة	TS-BMA, Bayesian model averaging for time series, BMA forecasting, time series BMA	Bayesian time series analysis, Bayesian state-space modeling, probabilistic time series inference, BSTS
ذات صلة	5	6
الملخص	Time series Bayesian model averaging (TS-BMA) combines forecasts from an ensemble of time series models — such as AR, VAR, or state-space specifications — by weighting each model by its posterior probability given observed data. Rather than selecting one model and discarding uncertainty about which model is best, TS-BMA integrates over model uncertainty, producing forecasts that are more robust and better calibrated than any single model alone.	Time series Bayesian inference applies Bayes' theorem sequentially to time-ordered observations, maintaining a full probability distribution over hidden states and model parameters at every time step. This framework unifies state-space models, dynamic linear models, and particle filters, producing calibrated uncertainty for both filtering (real-time) and retrospective smoothing tasks.