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Ergodicity of a Class of Nonlinear Time Series Models in Random Environment Domain

Ergodicity of a Class of Nonlinear Time Series Models in Random Environment Domain
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摘要 In this paper, we study the problem of a variety of p, onlinear time series model Xn+ 1= TZn+1(X(n), … ,X(n - Zn+l), en+1(Zn+1)) in which {Zn} is a Markov chain with finite state space, and for every state i of the Markov chain, {en(i)} is a sequence of independent and identically distributed random variables. Also, the limit behavior of the sequence {Xn} defined by the above model is investigated. Some new novel results on the underlying models are presented. In this paper, we study the problem of a variety of p, onlinear time series model Xn+ 1= TZn+1(X(n), … ,X(n - Zn+l), en+1(Zn+1)) in which {Zn} is a Markov chain with finite state space, and for every state i of the Markov chain, {en(i)} is a sequence of independent and identically distributed random variables. Also, the limit behavior of the sequence {Xn} defined by the above model is investigated. Some new novel results on the underlying models are presented.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第1期159-168,共10页 应用数学学报(英文版)
基金 Supported by the Excellent Youth Foundation of Educational Committee of Hunan Provincial(No.08B005) the Scientific Research Funds of Hunan Provincial Education Department of China(No.08Cl19) CSU Doctoral Candidate Creative Fund(No.3340-75206) the Scientific Research Funds of Hunan Provincial Science and Technology Department of China(No.2009FJ3103)
关键词 ERGODICITY Random environment Nonlinear time series Ergodicity, Random environment, Nonlinear time series
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参考文献12

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