Methoden vergleichen

	Bayesian Weighted Least Squares (Bayesian WLS)	Bayesian OLS (Bayesian Ordinary Least Squares Regression)
Fachgebiet	Ökonometrie	Ökonometrie
Familie	Regression model	Regression model
Entstehungsjahr	1971	1971
Urheber	Arnold Zellner (Bayesian econometrics framework)	Arnold Zellner
Typ	Bayesian weighted regression	Bayesian linear regression
Wegweisende Quelle	Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley, New York. ISBN: 978-0471169376	Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376
Aliasnamen	Bayesian weighted regression, BWLS, Bayesian heteroscedastic regression, weighted Bayesian linear regression	Bayesian linear regression, Bayesian normal regression, BLR, Bayesian least squares
Verwandt	4	5
Zusammenfassung	Bayesian Weighted Least Squares combines the classical WLS weighting scheme — which downweights observations with high error variance — with Bayesian prior distributions over the regression coefficients and error variance. The result is a posterior distribution that reflects both the data likelihood and prior beliefs, providing full uncertainty quantification in heteroscedastic settings.	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.