Second Order Bias of Quasi-MLE for Covariance Structure Models
Several recent papers (e.g., Newey et al., 2005; Newey and Smith, 2004; Anatolyev, 2005) derive general expressions for the second-order bias of the GMM estimator and its first-order equivalents such as the EL estimator. Except for some simulation evidence, it is unknown how these compare to the second-order bias of QMLE of covariance structure models. The paper derives the QMLE bias formulas for this general class of models. The bias -- identical to the EL second-order bias under normality -- depends on the fourth moments of data and remains the same as for EL even for non-normal data so long as the condition for equal asymptotic efficiency of QMLE and GMM derived in Prokhorov (2009) is satisfied.
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- Joseph G. Altonji & Lewis M. Segal, 1994.
"Small Sample Bias in GMM Estimation of Covariance Structures,"
NBER Technical Working Papers
0156, National Bureau of Economic Research, Inc.
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CeMMAP working papers
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- Prokhorov, Artem, 2009.
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Elsevier, vol. 102(1), pages 4-6, January.
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Research Working Paper
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