Bias correction in a multivariate normal regression model with general parameterization

Alexandre G. Patriota and Artur J. Lemonte

Statistics & Probability Letters, 2009, vol. 79, issue 15, 1655-1662

Abstract: This paper derives the second-order biases of maximum likelihood estimates from a multivariate normal model where the mean vector and the covariance matrix have parameters in common. We show that the second order bias can always be obtained by means of ordinary weighted least-squares regressions. We conduct simulation studies which indicate that the bias correction scheme yields nearly unbiased estimators.

Date: 2009
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