E-optimal designs for Poisson regression models with random coefficients

نویسندگان

1 Department of Statistics‎, ‎Razi University‎, ‎Kermanshah‎, ‎Iran

2 Department of Statistics‎, ‎Razi University‎, ‎Kermanshah‎, ‎Iran

3 Department of Statistics‎, ‎Razi University‎, ‎Kermanshah‎, ‎Iran

doi
10.22034/jsmta.2024.21256.1130
چکیده

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.