Self exciting threshold binomial autoregressive processes
We introduce a new class of integer valued self exciting threshold models, which is based on the binomial autoregressive model of order one as introduced by McKenzie (Water Resour Bull 21:645 650, 1985. doi:10.1111/j.1752 1688.1985.tb05379.x) Basic probabilistic and statistical properties of this class of models are discussed. Moreover, parameter estimation and forecasting are addressed. Finally, the performance of these models is illustrated through a simulation study and an empirical application to a set of measle cases in Germany.