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Optimal Design for Quasi-Likelihood Estimation in Poisson Regression with Random Coefficients

by Niaparast, M., Schwabe, R..

Series: 2010-30, Preprints

62K05 Optimal designs
62J12 Generalized linear models

Count data may be described by a Poisson regression model. If random coefficients are involved, maximum likelihood is not feasible and alternative estimation methods have to be employed. For the approach based on quasi-likelihood estimation a characterization of design optimality is derived and optimal designs are determined numerically for an example
with random slope parameters.

Generalized Linear Mixed Model, Optimal Design, Poisson Regression, Quasi- Likelihood, Random Coefficients