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Model ARMA bayesià×MCO bayesià (Regressió Bayesiana dels Mínims Quadrats Ordinària)×
CampEconometriaEconometria
FamíliaRegression modelRegression model
Any d'origen1970s–1980s1971
Autor originalBox & Jenkins (classical ARMA); Bayesian treatment developed through work of Zellner, Geweke, and others in 1970s–1980sArnold Zellner
TipusBayesian time series modelBayesian linear regression
Font seminalGeweke, J., & Meese, R. (1981). Estimating regression models of finite but unknown order. International Economic Review, 22(1), 55–70. link ↗Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376
ÀliesBayesian ARMA, B-ARMA, Bayesian autoregressive moving average, ARMA with Bayesian inferenceBayesian linear regression, Bayesian normal regression, BLR, Bayesian least squares
Relacionats65
ResumThe Bayesian ARMA model applies Bayesian inference to the classical autoregressive moving average framework for stationary univariate time series. Rather than producing single point estimates for the AR and MA parameters, it yields full posterior distributions, naturally incorporating prior knowledge and providing coherent uncertainty quantification over forecasts and impulse responses.Bayesian OLS combines the classical linear regression likelihood with prior distributions over the coefficients and error variance. Rather than reporting point estimates, it produces full posterior distributions that quantify both estimated effects and their uncertainty. The approach is especially valuable when prior knowledge is available or when samples are small.
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