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베이지안 가중 최소 제곱법 (Bayesian WLS)×베이지안 OLS (베이지안 일반 최소 제곱 회귀)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19711971
창시자Arnold Zellner (Bayesian econometrics framework)Arnold Zellner
유형Bayesian weighted regressionBayesian linear regression
원전Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley, New York. ISBN: 978-0471169376Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376
별칭Bayesian weighted regression, BWLS, Bayesian heteroscedastic regression, weighted Bayesian linear regressionBayesian linear regression, Bayesian normal regression, BLR, Bayesian least squares
관련45
요약Bayesian 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.
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