Moving Average Model with an Alternative GARCH-Type Error

Moving Average Model with an Alternative GARCH-Type Error
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DOI:
10.21078/jssi-2018-165-13
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发表时间:
2018-05
期刊:
Journal of Systems Science and Information
影响因子:
--
通讯作者:
Huafeng Zhu;Xingfa Zhang;Xin Liang;Yuan Li
Huafeng Zhu;Xingfa Zhang;Xin Liang;Yuan Li
中科院分区:
其他
文献类型:
--
作者:
Huafeng Zhu;Xingfa Zhang;Xin Liang;Yuan Li

文献摘要

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Abstract Motivated by the double autoregressive model with order p (DAR(p) model), in this paper, we study the moving average model with an alternative GARCH error. The model is an extension from DAR(p) model by letting the order p goes to infinity. The quasi maximum likelihood estimator of the parameters in the model is shown to be asymptotically normal, without any strong moment conditions. Simulation results confirm that our estimators perform well. We also apply our model to study a real data set and it has better fitting performance compared to DAR model for the considered data.