e-optimal designs for poisson regression models with random coefficients

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.