On stability Conditions of Burr X Autoregressive model
Abstract
This article deals with proposed nonlinear autoregressive model based on Burr X cumulative distribution function known as Burr X AR (p), we demonstrate stability conditions of the proposed model in terms of its parameters by using dynamical approach known as local linearization method to find stability conditions of a nonzero fixed point of the proposed model, in addition the study demonstrate stability condition of a limit cycle if Burr X AR (1) model have a limit cycle of period greater than one.
Keywords
Burr X autoregressive model, Stability, Local linearization, Limit cycle, non-linear time seriesMetrics