文章基本信息

标题：Dynamical approach in studying stability condition of exponential (GARCH) models
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作者：Azhar Abbas Mohammad ; Abduljabbar Ali Mudhir
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2020
卷号：32
期号：1
页码：272-278
DOI：10.1016/j.jksus.2018.04.028
语种：English
出版社：Elsevier
摘要：AbstractIn this article our goal is to studying the stationary condition of EGARCH time series model which is proved by Nelson (1991) but what we did is to prove it with more simple and clearly defined method and this is done by using a dynamical approximation relying on local linearization method in the neighborhood of a non-zero singular point of EGARCH model. This method is being used to approximate a Nonlinear model to a linear autoregressive model. Beside that we found the orbitally stability condition of a limit cycle of EGARCH(1,1) model if the model possess it.
关键词：EGARCH;Local linearization method;Conditional variance;Limit cycle;Time series;Autoregressive model