
pages 121-128
Available online: 15 Jun 2010The model under consideration is the general variance components model
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We establish Edgeworth-expansions for C. R. Rao's MINQUE for the variance components
The tool is a theorem on Edgeworth-expansions for quadratic forms in normally distributed random vectors. It is proved that the generalized Noether's condition ensuring the asymptotic normality is sufficient for the existence of Edgeworth-expansions of arbitrary length as well.
It turns out that the Edgeworth-expanson of length 3 for an n-fold repetition model coincides with the Edgeworth-expansion of length 3 for the formal MINQUE in the reduced model
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Further, the specification to the simple linear regression
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