Article ID Journal Published Year Pages File Type
1152722 Statistics & Probability Letters 2010 10 Pages PDF
Abstract

The INARCH(1) model is a simple but practically relevant, two-parameter model for processes of overdispersed counts with an autoregressive serial dependence structure. We derive closed-form expressions for the joint (central) moments and cumulants of the INARCH(1) model up to order 4. These expressions are applied to derive the moments of jumps in INARCH(1) processes. We illustrate this kind of application with a real-data example, and outline further potential applications.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
,