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ON THE CORRELATION STRUCTURE OF THE DOUBLY STOCHASTIC TIME SERIES AR-MA MODEL AND SOME COMPARISON WITH THE ARWA MODEL
关于双重时序AR-MA模型的相关结构及与ARMA模型的比较

Keywords: Doubly stochastic time series,AR-MA model,correlation structure,ARMA model
双重时间序列,AR-MA模型,相关结构,平稳ARMA模型

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Abstract:

On the basis of 4], the correlation structure of the doubly stochastic time series AR-MA model is discussed in this paper. without assuming that the noise processes are Gaussian, the conjecture given by An Hongzhi2] on the correlation structure is proved to be correct. As an introduction to the method, we explicitly construct the correlation structure of AR(1)-MA(3) model. We also give some comparative discussions with the ARMA model.

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