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The Asymptotic Behavior of INAR (p) Models
Authors:Mingtian Tang
Institution:School of Science, Jiangxi University of Science and Technology, Jiangxi, China
Abstract:An integer-valued autoregressive model with random time delay under random environment is presented. The geometric ergodicity of the iterative sequence determined by this new model is discussed. Moreover, sufficient conditions for stationarity and β-mixing property with exponential decay for the INAR model with random time delay under random environment are developed.
Keywords:Markov chains  Geometric ergodicity  Nonlinear time series  Random environment  Random time delay
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