This paper proposes and investigates a class of Markov Poisson regression models in which Poisson rate functions of covariates are conditional on unobserved states which follow a finite-state Markov chain. Features of the proposed model, estimation, inference, bootstrap confidence intervals,...

This paper applies the Markov Poisson regression methodology of Wang and Puterman to the analysis of seizure frequencies in an epilepsy clinical trial and counts of poliomyelitis cases. The analysis of the poliomyelitis data is compared with that of Zeger.