Large sample efficiencies of invariant quadratic unbiased estimators Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/7m01bq362

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  • This dissertation examines limiting efficiencies of quadratic unbiased estimators for the variance in the two variance component mixed model. The set of quadratic unbiased estimators considered includes the minimal complete class. A theorem is proved which shows that, in certain cases, a relatively simple expression converges to the same value to which the efficiency itself converges. The efficiency is a much more complex expression. Less general results are proved concerning limiting efficiencies, and tables of computed limiting efficiencies are provided for various behaviors of the eigenvalues. Based on these results and tables, recommendations are given for specific estimators.
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