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Bayes' ARIMA mudel×ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta1970s (ARIMA); Bayesian extension prominent from 1990s1970
LoojaPole, West & Harrison (Bayesian treatment); Box & Jenkins (ARIMA foundation)George Box and Gwilym Jenkins
TüüpBayesian time series modelTime series forecasting model
AlgallikasPole, A., West, M., & Harrison, J. (1994). Applied Bayesian Forecasting and Time Series Analysis. Chapman & Hall. ISBN: 978-0412416903Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
RööpnimetusedBayesian ARIMA, BARIMA, Bayesian Box-Jenkins model, Bayesian integrated time series modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Seotud66
KokkuvõteThe Bayesian ARIMA model combines the classical Box-Jenkins ARIMA framework with Bayesian inference. Instead of obtaining single point estimates for autoregressive and moving average parameters, it places prior distributions over them and uses observed data to update beliefs into a full posterior distribution, enabling coherent uncertainty quantification and probabilistic forecasting.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
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ScholarGateVõrdle meetodeid: Bayesian ARIMA model · ARIMA model. Loetud 2026-06-15 aadressilt https://scholargate.app/et/compare