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| Bayesiansk Moving Average (MA) Model× | Bayesiansk ARIMA-model× | |
|---|---|---|
| Fagområde | Økonometri | Økonometri |
| Familie | Regression model | Regression model |
| Oprindelsesår≠ | 1970s–1997 | 1970s (ARIMA); Bayesian extension prominent from 1990s |
| Ophavsperson≠ | Bayesian framework applied to Box-Jenkins MA models; West & Harrison (1997) canonical treatment | Pole, West & Harrison (Bayesian treatment); Box & Jenkins (ARIMA foundation) |
| Type | Bayesian time series model | Bayesian time series model |
| Oprindelig kilde≠ | 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 |
| Aliasser | 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 |
| Relaterede | 6 | 6 |
| Resumé≠ | 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. |
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