Application of Regime-Switching Models of Time Series with Cubic Spline Transition Function

Author(s):  
Tomas Bognár ◽  
Jozef Komorník ◽  
Magda Komorníková
2000 ◽  
Vol 4 (4) ◽  
pp. 467-486 ◽  
Author(s):  
Eric Ghysels

We present a class of stochastic regime-switching models. The time-series models may have periodic transition probabilities and the drifts may be seasonal. In the latter case, the model exhibits seasonal dummy variation that may change with the regime. The processes entail nontrivial interactions between so-called business and seasonal cycles. We discuss the stochastic properties as well as their relationship with periodic ARMA processes. Estimation and testing are also discussed in detail.


2019 ◽  
Vol 06 (01) ◽  
pp. 1950006
Author(s):  
Milan Kumar Das ◽  
Anindya Goswami

We have developed a statistical technique to test the model assumption of binary regime switching extension of the geometric Brownian motion (GBM) model by proposing a new discriminating statistics. Given a time series data, we have identified an admissible class of the regime switching candidate models for the statistical inference. By performing several systematic experiments, we have successfully shown that the sampling distribution of the test statistics differs drastically, if the model assumption changes from GBM to Markov modulated GBM, or to semi-Markov modulated GBM. Furthermore, we have implemented this statistics for testing the regime switching hypothesis with Indian sectoral indices.


2017 ◽  
Vol 08 (08) ◽  
pp. 1005-1032 ◽  
Author(s):  
Bruno Rémillard ◽  
Alexandre Hocquard ◽  
Hugo Lamarre ◽  
Nicolas Papageorgiou

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