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Optimal Model Averaging Estimation for Generalized Linear Models and Generalized Linear Mixed-Effects Models

Xinyu Zhang, Dalei Yu, Guohua Zou and Hua Liang

Journal of the American Statistical Association, 2016, vol. 111, issue 516, 1775-1790

Abstract: Considering model averaging estimation in generalized linear models, we propose a weight choice criterion based on the Kullback–Leibler (KL) loss with a penalty term. This criterion is different from that for continuous observations in principle, but reduces to the Mallows criterion in the situation. We prove that the corresponding model averaging estimator is asymptotically optimal under certain assumptions. We further extend our concern to the generalized linear mixed-effects model framework and establish associated theory. Numerical experiments illustrate that the proposed method is promising.

Date: 2016
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