Abstract
<abstract><p>This paper proposes strict periodic stationarity and periodic ergodicity conditions for a finite mixture integer-valued GARCH model with $ S $-periodic time-varying parameters that depend on the state of an independent and periodically distributed regime sequence. In this model, the past conditional mean values depend on the past of the regime variable in the same order, so the model is characterized by path-regime dependence. We also propose sufficient conditions for periodic stationarity when the conditional means are nonlinear of past observations. The results are applied to various discrete conditional distributions.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference40 articles.
1. A. Ahmad, C. Francq, Poisson QMLE of count time series models, J. Time Ser. Anal., 37 (2016), 291–314. http://dx.doi.org/10.1111/jtsa.12167
2. M. Aitkin, D. B. Rubin, Estimation and hypothesis testing in finite mixture models, J. Roy. Stat. Soc. B, 47 (1985), 67–75. http://dx.doi.org/10.1111/j.2517-6161.1985.tb01331.x
3. A. Aknouche, C. Francq, Count and duration time series with equal conditional stochastic and mean orders, Economet. Theor., 37 (2021), 248–280. http://dx.doi.org/10.1017/S0266466620000134
4. A. Aknouche, C. Francq, Stationarity and ergodicity of Markov switching positive conditional mean models, J. Time Ser. Anal., 2022, in press. http://dx.doi.org/10.1111/jtsa.12621
5. A. Aknouche, B. S. Almohaimeed, S. Dimitrakopoulos, Forecasting transaction counts with integer-valued GARCH models, Stud. Nonlinear Dyn. Economet., 2021, in press. http://dx.doi.org/10.1515/snde-2020-0095
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