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...
This dissertation is concerned with hypothesis testing for
fixed effects in mixed linear models. Our primary emphasis is on
mixed models when the class of covariance matrices has what we
call a rich linear structure. Such models include mixed ANOVA
models and regression models with heteroscedastic variances. For
the majority...
We describe a general finite-dimensional inner product space setting for studying the characterization of admissible linear estimators. We extend the results of LaMotte (1982) and derive necessary and sufficient conditions for an estimator to be admissible among an arbitrary affine set of linear estimators when they are compared using quadratic...