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Ergodicity of a class of nonlinear time series models in random environment domain
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Ergodicity of a class of nonlinear time series models in random environment domain
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Journal Article
Ergodicity of a class of nonlinear time series models in random environment domain
2010
Overview
In this paper, we study the problem of a variety of nonlinear time series model Xn+1 = TZn+1(X(n), …, X(n − Zn+1), 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.
Publisher
Springer Nature B.V
Subject
