This talk has been cancelled.
Abstract: This paper introduces a new continuous-time framework for modelling serially correlated count and integer-valued data. The key component in our new model is the class of integer-valued trawl (IVT) processes, which are serially correlated, stationary, infinitely divisible processes. We analyse the probabilistic properties of such processes in detail and, in addition, study volatility modulation and multivariate extensions within the new modelling framework. Moreover, we illustrate in a simulation study how our new models can be estimated.
This is joint work with Ole E. Barndorff-Nielsen (Aarhus), Asger Lunde (Aarhus) and Neil Shephard (Oxford).