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Bayesiansk Moving Average (MA) Model×Bayesiansk ARIMA-model×
FagområdeØkonometriØkonometri
FamilieRegression modelRegression model
Oprindelsesår1970s–19971970s (ARIMA); Bayesian extension prominent from 1990s
OphavspersonBayesian framework applied to Box-Jenkins MA models; West & Harrison (1997) canonical treatmentPole, West & Harrison (Bayesian treatment); Box & Jenkins (ARIMA foundation)
TypeBayesian time series modelBayesian time series model
Oprindelig kildeWest, M., & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259Pole, A., West, M., & Harrison, J. (1994). Applied Bayesian Forecasting and Time Series Analysis. Chapman & Hall. ISBN: 978-0412416903
AliasserBayesian MA, Bayesian moving average, BMA time series, MA model with Bayesian estimationBayesian ARIMA, BARIMA, Bayesian Box-Jenkins model, Bayesian integrated time series model
Relaterede66
ResuméThe Bayesian MA model estimates a moving average time series model within a fully Bayesian framework, placing prior distributions on the MA parameters and error variance and updating them via Bayes' theorem. This approach yields full posterior distributions over model parameters and produces probabilistic forecasts with coherent uncertainty quantification.The 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.
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ScholarGateSammenlign metoder: Bayesian MA model · Bayesian ARIMA model. Hentet 2026-06-15 fra https://scholargate.app/da/compare