Autoregressive Discrete Processes and Quote Dynamics

Abstract

In this chapter, we discuss dynamic models for discrete-valued data and quote processes. As illustrated in Chap. 4, the time series of the number of events in a given time interval yields a counting process and provides an alternative way to characterize the underlying point process. Section 13.1 presents a class of univariate autoregressive models for count data based on dynamic parameterizations of the conditional mean function in a Poisson distribution. Moreover, we discuss extensions thereof, such as the Negative Binomial distribution and Double Poisson distribution.