On Integer-valued GARCH Modeling

This talk presents a concise review of integer-valued GARCH (INGARCH) modeling for time series of counts. Attention is paid to some commonly used specifications and the main approaches for studying their ergodic properties and their estimation methods. In particular, the focus is on the class of INGARCH processes with equal conditional stochastic and mean orders. Some recent mixture INGARCH extensions, in particular, Markov-switching INGARCH models are also presented.