2013
DOI: 10.1142/s2010495213500073
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Robust Estimation and Forecasting of the Capital Asset Pricing Model

Abstract: In this paper, we develop a modified maximum likelihood (MML) estimator for the multiple linear regression model with underlying student t distribution. We obtain the closed form of the estimators, derive the asymptotic properties, and demonstrate that the MML estimator is more appropriate for estimating the parameters of the Capital Asset Pricing Model by comparing its performance with least squares estimators (LSE) on the monthly returns of US portfolios. The empirical results reveal that the MML estimators … Show more

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Cited by 20 publications
(8 citation statements)
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“…They find that their proposed estimator is adaptive and uniformly better than the LS estimators. Bian et al (2013) apply the model developed by Bian and Wong (1997) to revisit the CAPM on the returns of 12 US portfolios. They show that the g-prior estimators obtained by using the g-prior Bayesian regression model are more efficient than and outperform the LS estimator uniformly on all the 12 US portfolios.…”
Section: Robust Estimationmentioning
confidence: 99%
“…They find that their proposed estimator is adaptive and uniformly better than the LS estimators. Bian et al (2013) apply the model developed by Bian and Wong (1997) to revisit the CAPM on the returns of 12 US portfolios. They show that the g-prior estimators obtained by using the g-prior Bayesian regression model are more efficient than and outperform the LS estimator uniformly on all the 12 US portfolios.…”
Section: Robust Estimationmentioning
confidence: 99%
“…In the empirical study, we find that the robust Bayesian estimate is uniformly more efficient than the least squares estimate in terms of the relative efficiency of one-step ahead forecast mean square error, especially for small samples. Bian, McAleer, and Wong (2013) develop a modified maximum likelihood (MML) estimator for the multiple linear regression model with underlying student t distribution.…”
Section: Other Econometric Models/testsmentioning
confidence: 99%
“…Bian et al (2013) develop a modified maximum likelihood (MML) estimator for the multiple linear regression model with underlying Student's t-distribution.…”
Section: Other Econometrics Models and Testsmentioning
confidence: 99%