Measuring the source and magnitude of components of variation has important
applications in industrial, environmental and biological studies. This thesis considers
the problem of constructing confidence intervals for variance components in Gaussian
mixed linear models. A number of methods based on the usual ANOVA mean squares
have been proposed for...
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...
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...