Double Shrinkage Estimators in the GMANOVA Model

Takeaki Kariya, Yoshihiko Konno and William E. Strawderman

Journal of Multivariate Analysis, 1996, vol. 56, issue 2, 245-258

Abstract: In the GMANOVA model or equivalent growth curve model, shrinkage effects on the MLE (maximum likelihood estimator) are considered under an invariant risk matrix. We first study the fundamental structure of the problem through which we decompose the estimation problem into some conditional problems and then demonstrate some classes of double shrinkage minimax estimators which uniformly dominate the MLE in the matrix risk.

Date: 1996
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