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Robust Designs in Generalized Linear Models: A Quantile Dispersion Graphs Approach
Authors:I Das  M Aggarwal
Institution:1. Department of Statistics, Kumaun University, SSJ Campus Almora, Almora, India;2. Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee, USA
Abstract:This article studies design selection for generalized linear models (GLMs) using the quantile dispersion graphs (QDGs) approach in the presence of misspecification in the link and/or linear predictor. The uncertainty in the linear predictor is represented by a unknown function and estimated using kriging. For addressing misspecified link functions, a generalized family of link functions is used. Numerical examples are shown to illustrate the proposed methodology.
Keywords:Family of link functions  Kriging  Logistic link  Parameter orthogonality  Standardization
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