References
- Al-Osh, M. A., and A. A. Alzaid. 1987. First order integer-valued autoregressive (INAR(1)) processes. Journal of Time Series Analysis 8:261–75. doi:https://doi.org/10.1111/j.1467-9892.1987.tb00438.x.
- Alzaid, A. A., and M. A. Al-Osh. 1990. Integer-valued p th-order autoregressive structure (INAR(p)) process. Journal of Applied Probability 27:314–24.
- Ausin, M. C., and P. Galeano. 2007. Bayesian estimation of the Gaussian mixture GARCH model. Computational Statistics & Data Analysis 51:2636–52. doi:https://doi.org/10.1016/j.csda.2006.01.006.
- Barczy, M., M. Ispany, and G. Pap. 2011. Asymptotic behavior of unstable INAR(p) processes. Stochastic Processes and Their Applications. Time. Series Analysis 121:583–608. doi:https://doi.org/10.1016/j.spa.2010.11.005.
- Bentarzi, M. 1998. Model-building problem of periodically correlatedm-variate moving average processes. Journal of Multivariate Analysis 66 (1):1–21. doi:https://doi.org/10.1006/jmva.1997.1733.
- Bentarzi, M., and M. Hallin. 1994. On the invertibility of periodic moving-average models. Journal of Time Series Analysis 15 (3):263–8. doi:https://doi.org/10.1111/j.1467-9892.1994.tb00191.x.
- Bentarzi, M., and M. Merzougui. 2011. Moments of mixture periodic autoregressive models. Communications in Statistics - Theory and Methods 40 (22):3937–47. doi:https://doi.org/10.1080/03610926.2010.503017.
- Bentarzi, M., and F. Hamdi. 2008. Mixture periodic autoregressive conditional heteroskedastic models. Computational Statistics and Data Analysis 53 (1):1–16.
- Bentarzi, M., and L. Djeddou. 2014. On mixture periodic vector autoregressive models. Communications in Statistics—Simulation and Computation 43 (10):2325–52.
- Bentarzi, M., and W. Bentarzi. 2017. Periodic integer-valued bilinear time series model. Communications in Statistics-Theory and Methods 46 (3):1184–201. doi:https://doi.org/10.1080/03610926.2015.1014107.
- Bentarzi, M., and W. Bentarzi. 2017b. Periodic integer-valued GARCH (1,1) model. Communications in Statistics-Simulation and Computation 46 (2):1167–88. doi:https://doi.org/10.1080/03610918.2014.994780.
- Der, G., and B. S. Everitt. 2002. A handbook of statistical analyses using SAS. 2nd ed. London: Chapman & Hall/CRC.
- Doukhan, P., A. Latour, and D. Oraichi. 2006. A simple integer-valued bilinear time series model. Advances in Applied Probability 38 (2):559–78.
- Ferland, R., A. Latour, and D. Oraichi. 2006. Integer-valued GARCH process. Journal of Time Series Analysis 27 (6):923–42.
- Fong, P. W., W. K. Li, C. W. Yau, and C. S. Wong. 2007. On a mixture vector autoregressive model. Canadian Journal of Statistics 35 (1):135–50. doi:https://doi.org/10.1002/cjs.5550350112.
- Gladyshev, E. G. 1961. Periodically correlated random sequences. Soviet Mathematics 2:385–8.
- Monteiro, M., M. G. Scotto, and I. Pereira. 2010. Integer-valued autoregressive processes with periodic structure. Journal Statistical Planning and Inference 140 (6):1529–41.
- Moriña, D., P. Puig, J. Ríos, A. Vilella, and A. Trilla. 2011. A statistical model for hospital admissions caused by seasonal diseases. Statistics in Medicine 30 (26):3125–36.
- Shao, Q. 2006. Mixture periodic autoregressive time series models. Statistics & Probability Letters 76:609–18. doi:https://doi.org/10.1016/j.spl.2005.09.015.
- Ula, T. A., and A. A. Smadi. 1997. Periodic stationarity conditions for periodic autoregressive moving average processes as eigenvalue problems. Water Resources Research 33 (8):1929–34. doi:https://doi.org/10.1029/97WR01002.
- Wong, C. S., and W. K. Li. 2000. On a mixture autoregressive model. Journal of the Royal Statistical Society Series B 62:95–115.
- Wong, C. S., and W. K. Li. 2001. On a mixture autoregressive conditional heteroskedastic model. Journal of the American Statistical Association 96 (455):982–95.
- Zhang, Z., W. K. Li, and K. C. Yuen. 2006. On a mixture GARCH time-series model. Journal of Time Series Analysis 27 (4):577–97. doi:https://doi.org/10.1111/j.1467-9892.2006.00467.x.
- Zhu, F., Q. Li, and D. Wang. 2010. A mixture integer-valued ARCH model. Journal of Statistical Planning and Inference 140 (7):2025–36. doi:https://doi.org/10.1016/j.jspi.2010.01.037.
- Zhu, F. 2011. A negative binomial interger-valued GARCH model. Journal of Time Series Analysis 32 (1):54–67. doi:https://doi.org/10.1111/j.1467-9892.2010.00684.x.