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Bayesian Heteroskedasticity-Robust Standard Errors

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  • Startz, Richard

Abstract

Use of heteroskedasticity-robust standard errors has become common in frequentist regressions. I offer here a Bayesian analog. The Bayesian version is derived by first focusing on the likelihood function for the sample values of the identifying moment conditions of least squares and then formulating a convenient prior for the variances of the error terms. The first step introduces a sandwich estimator into the posterior calculations, while the second step allows the investigator to set the sandwich for either heteroskedastic or homoskedastic error variances. If desired, the Bayesian estimator can be made to look very similar to the usual heteroskedasticity-robust frequentist estimator. Bayesian estimation is easily accomplished by a standard MCMC procedure.

Suggested Citation

  • Startz, Richard, 2012. "Bayesian Heteroskedasticity-Robust Standard Errors," University of California at Santa Barbara, Economics Working Paper Series qt69c4x8m9, Department of Economics, UC Santa Barbara.
    • Handle: RePEc:cdl:ucsbec:qt69c4x8m9
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    References listed on IDEAS

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    1. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    2. Dale Poirier, 2008. "Bayesian Interpretations of Heteroskedastic Consistent Covariance Estimators Using the Informed Bayesian Bootstrap," Working Papers 080905, University of California-Irvine, Department of Economics.
    3. James G. MacKinnon, 2012. "Thirty Years Of Heteroskedasticity-robust Inference," Working Paper 1268, Economics Department, Queen's University.
    4. Anglin, Paul M & Gencay, Ramazan, 1996. "Semiparametric Estimation of a Hedonic Price Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 633-648, Nov.-Dec..
    5. Geweke, J, 1993. "Bayesian Treatment of the Independent Student- t Linear Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 19-40, Suppl. De.
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    2. Kanchan Joshi & Thiagu Ranganathan & Ram Ranjan, 2021. "Exploring Higher Order Risk Preferences of Farmers in a Water-Scarce Region: Evidence from a Field Experiment in West Bengal, India," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(2), pages 317-344, June.
    3. Lewis, Gabriel, 2022. "Heteroskedasticity and Clustered Covariances from a Bayesian Perspective," MPRA Paper 116662, University Library of Munich, Germany.

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    Keywords

    Social and Behavioral Sciences; robust standard errors; bayesian;
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