Note on Integer-Valued Bilinear Time Series Models

@inproceedings{Drost2007NoteOI,
  title={Note on Integer-Valued Bilinear Time Series Models},
  author={Feike C. Drost and Ramon van den Akker and Bas J. M. Werker},
  year={2007}
}
This note reconsiders the nonnegative integer-valued bilinear processes introduced by Doukhan, Latour, and Oraichi (2006). Using a hidden Markov argument, we extend their result of the existence of a stationary solution for the INBL(1,0,1,1) process to the class of superdiagonal INBL(p, q, m, n) models. Our approach also yields improved parameter restrictions for several moment conditions compared to the ones in Doukhan, Latour, and Oraichi (2006). 

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References

Publications referenced by this paper.
Showing 1-10 of 11 references

A simple integer-valued bilinear time series model

P. Doukhan, A. Latour, D. Oraichi
Adv. Appl. Prob • 2006
View 12 Excerpts
Highly Influenced

An integer-valued pth-order autoregressive structure (INAR(p)) process

A. A. Alzaid, M. A. Al-Osh
J. Appl. Prob • 1990
View 5 Excerpts
Highly Influenced

First-order integer-valued autoregressive (INAR(1)) processes

M. A. Al-Osh, A. A. Alzaid
J. Time Ser. Anal • 1987
View 6 Excerpts
Highly Influenced

Markov chains and stochastic stability. SpringerVerlag, 2nd edition

S. P. Meyn, R. L. Tweedie
1994
View 2 Excerpts
Highly Influenced

Discrete variate time series

E. McKenzie
Handbook of Statistics 21 , stochastic processes : modeling and estimation 573 – 606 • 2003
View 1 Excerpt

Existence and stochastic structure of a non-negative integer-valued autoregressive process

A. Latour
J. Time Ser. Anal • 1998
View 2 Excerpts

The integer-valued autoregressive (INAR(p)) model

Du, J.-G, Y. Li
J. Time Ser. Anal • 1991

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