Asymptotic behavior of unstable INAR(p) processes
Probability
2011-01-26 v5
Abstract
In this paper the asymptotic behavior of an unstable integer-valued autoregressive model of order p (INAR(p)) is described. Under a natural assumption it is proved that the sequence of appropriately scaled random step functions formed from an unstable INAR(p) process converges weakly towards a squared Bessel process. We note that this limit behavior is quite different from that of familiar unstable autoregressive processes of order p. An application for Boston armed robberies data set is presented.
Keywords
Cite
@article{arxiv.0908.4560,
title = {Asymptotic behavior of unstable INAR(p) processes},
author = {Matyas Barczy and Marton Ispany and Gyula Pap},
journal= {arXiv preprint arXiv:0908.4560},
year = {2011}
}
Comments
35 pages; corrected and extended version: a new section on an application for Boston armed robberies data set is added