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Bayesian Estimation of Unknown Regression Error Heteroscedasticity

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Author Info
Hiroaki Chigira
Tsunemasa Shiba
Abstract

We propose a Bayesian procedure to estimate heteroscedastic variances of the regression error term, when the form of heteroscedasticity is unknown. We use prior information that is elicited from the well-known Eicker-White Heteroscedasticity Consistent Variance- CovarianceMatrix Estimator, and then useMarkov ChainMonte Carlo algorithm to simulate posterior pdf's of the unknown heteroscedastic variances. In addition to numerical examples, we present an empirical investigation of the stock prices of Japanese pharmaceutical and biomedical companies.

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File URL: http://hi-stat.ier.hit-u.ac.jp/research/discussion/2007/pdf/D07-221.pdf
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Paper provided by Institute of Economic Research, Hitotsubashi University in its series Hi-Stat Discussion Paper Series with number d07-221.

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Date of creation: Oct 2007
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Handle: RePEc:hst:hstdps:d07-221

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Related research
Keywords: Eicker-White HCCM; orthogonal regressors; informative prior pdf's; MCMC; stock return variance;

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