2011
DOI: 10.1177/1536867x1101100402
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Bayesian Model Averaging and Weighted-Average Least Squares: Equivariance, Stability, and Numerical Issues

Abstract: In this article, we describe the estimation of linear regression models with uncertainty about the choice of the explanatory variables. We introduce the Stata commands bma and wals, which implement, respectively, the exact Bayesian model-averaging estimator and the weighted-average least-squares estimator developed by Magnus, Powell, and Prüfer (2010, Journal of Econometrics 154: 139-153). Unlike standard pretest estimators that are based on some preliminary diagnostic test, these model-averaging estimators pr… Show more

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Cited by 33 publications
(35 citation statements)
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“…()). He also makes available two STATA commands (bma and wals) that implement BMA with benchmark priors and WALS (see De Luca and Magnus () for a description of these commands). Finally, Bruce Hansen provides in his webpage several codes (in R, Matlab, Gauss and STATA) implementing both MMA and JMA (see http://www.ssc.wisc.edu/∼bhansen/progs/progs_ma.html).…”
Section: A Brief Overview Of the Literature On Model Averaging With Amentioning
confidence: 99%
“…()). He also makes available two STATA commands (bma and wals) that implement BMA with benchmark priors and WALS (see De Luca and Magnus () for a description of these commands). Finally, Bruce Hansen provides in his webpage several codes (in R, Matlab, Gauss and STATA) implementing both MMA and JMA (see http://www.ssc.wisc.edu/∼bhansen/progs/progs_ma.html).…”
Section: A Brief Overview Of the Literature On Model Averaging With Amentioning
confidence: 99%
“…In essence, the estimate of a parameter is a weighted average of its estimates from all the 2 p possible model specifications, with the weight of each estimate determined by the performance of the model from which it is obtained. See, for example, Hoeting, et al (1999), Luca and Magnus (2011), Hoeting (2002), and Montgomery and Nyhan (2010) for a detailed discussion of the methodology. 25 For each sample period, we labelled the variables that are significant in Table 2 as the "focus regressors," and other insignificant candidate variables as the "auxiliary regressors.…”
Section: Bayesian Model Averaging (Bma)mentioning
confidence: 99%
“…In practical terms, Bayesian Model Averaging is implemented with the STATA BMA function documented in DeLuca and Magnus (2011).…”
mentioning
confidence: 99%