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Strong consistency of maximum quasi-likelihood estimators in generalized linear models with fixed and adaptive designs

Strong consistency of maximum quasi-likelihood estimators in generalized linear models with fixed and adaptive designs

Strong consistency for maximum quasi-likelihood estimators of regression parameters in generalized linear regression models is studied. Results parallel to the elegant work of Lai, Robbins and Wei and Lai and Wei on least squares estimation under both fixed and adaptive designs are obtained. Let $y_1,\dots, y_n$ and $x_1,\dots, x_n$ be …