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Dynamical approach in studying stability condition of exponential (GARCH) models

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Abstract In 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… Click to show full abstract

Abstract In 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.

Keywords: dynamical approach; studying stability; approach studying; condition; model; stability condition

Journal Title: Journal of King Saud University - Science
Year Published: 2020

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