E-optimal designs for Poisson regression models with random coefficients

Document Type : Original Scientific Paper

Authors

Department of Statistics‎, ‎Razi University‎, ‎Kermanshah‎, ‎Iran

Abstract

Most of the research on optimal designs concentrates on D-optimal designs for linear and nonlinear models with fixed effects‎. ‎Recently nonlinear models with random effects have been of great attention because these models are more applicable to describing real data‎. ‎In this paper‎, ‎E-optimal designs for the Poisson regression with random effects have been considered‎. ‎A new version of the equivalence theorem is prepared for this criterion in the Poisson regression model with random effects.

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