References
- Adams, G. J., Goodwin, G. C. (1995). Parameter estimation for periodic ARMA models. Journal of Time Series Analysis 16(2):127–145.
- Al-Osh, M. A., Alzaid, A. A. (1987). First order integer-valued autoregressive (INAR(1)) processes. Journal of Time Series Analysis 8:261–275.
- Alzaid, A. A., Al-Osh, M. A. (1990). Integer-valued p th-order autoregressive structure (INAR(p)) process. Journal of Applied Probability 27:314–324.
- Barczy, M., Ispany, M., Pap, G. (2011). Asymptotic behavior of unstable INAR(p) processes. Stochastic processes and their applications. Journal of Time Series Analysis 121:583–608.
- Basawa, I. V., Lund, R. B. (2001). Large sample properties of parameter estimates for periodic ARMA models. Journal of Time Series Analysis 22(6):651–663.
- Doukhan, P., Latour, A., Oraichi, D. (2006). A simple Integer-valued bilinear time series model. Advances in Applied Probability. 38:559–578.
- Ferland, R., Latour, A., Oraichi, D. (2006). Integer-valued GARCH process. Journal of Time Series Analysis 27(6):923–942.
- Franses, P. H., Paap, R. (2004). Periodic Time Series Models. Oxford, UK: Oxford University Press.
- Gladyshev, E. G. (1963). Periodically and almost PC random processes with continuous time parameter. Theory of Probability and Its Applications 8:173–177.
- Gourieroux, C., Jasiak, J. (2004). Heterogeneous INAR(1) model with applications to insurance. Insurance: Mathematics and Economics 34:177–192.
- Latour, A. (1998). Existence and stochastic structure of a non-negative integer-valued autoregressive process. Journal of Time Series Analysis 19(4):439–455.
- Monteiro, M., Scotto, M. G., Pereira, I. (2010). Integer-valued autoregressive processes with periodic structure. Journal Statistical Planning and Inference. 140:1529–1541.
- Pagano, M. (1978). On periodic and multiple autoregressions. The Annals of Statistics 6(6):1310–1317.
- Silva, M. D., Oliveira, V. L. (2000). Difference equations for the higher-order moments and cumulants of the INAR(1) model. Journal of Time Series Analysis 25(3):317–333.
- Tiao, G. C., Grupe, M. R. (1980). Hidden periodic autoregressive-moving average models in time series data. Biometrika 67(2):365–373.
- Vecchia, A. V. (1985). Maximum likelihood estimation for periodic autoregressive moving average models. Technometrics 27(4):375–384.