Linganisha mbinu

	Modeli wa Bayesian Moving Average (MA)	Muundo wa Bayesian ARIMA
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	1970s–1997	1970s (ARIMA); Bayesian extension prominent from 1990s
Mwanzilishi	Bayesian framework applied to Box-Jenkins MA models; West & Harrison (1997) canonical treatment	Pole, West & Harrison (Bayesian treatment); Box & Jenkins (ARIMA foundation)
Aina	Bayesian time series model	Bayesian time series model
Chanzo asilia	West, M., & Harrison, J. (1997). Bayesian Forecasting and Dynamic Models (2nd ed.). Springer. ISBN: 978-0387947259	Pole, A., West, M., & Harrison, J. (1994). Applied Bayesian Forecasting and Time Series Analysis. Chapman & Hall. ISBN: 978-0412416903
Majina mbadala	Bayesian MA, Bayesian moving average, BMA time series, MA model with Bayesian estimation	Bayesian ARIMA, BARIMA, Bayesian Box-Jenkins model, Bayesian integrated time series model
Zinazohusiana	6	6
Muhtasari	The 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.