On Mixture Memory GARCH Models | |
Muyi Li ; Wai Keung Li ; Guodong Li | |
刊名 | http://www.wise.xmu.edu.cn/paperInfor.asp?id=288
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2013-11-08 | |
关键词 | long memory in volatility covariance stationarity mixture ARCH(∞) EM algorithm. |
英文摘要 | We propose a new volatility model, which is called the mixture memory GARCH (MM-GARCH) model. The MM-GARCH model has two mixture components, of which one is a short memory GARCH and the other is the long memory FIGARCH. The new model, a special ARCH(∞) process with random coefficients, possesses both the properties of long memory volatility and covariance stationarity. The existence of its stationary solution is discussed. A dynamic mixture of the proposed model is also introduced. Other issues, such as the EM algorithm as a parameter estimation procedure, the observed information matrix which is relevant in calculating the theoretical standard errors, and a model selection criterion are also investigated. Monte Carlo experiments demonstrate our theoretical findings. Empirical application of the MM-GARCH model to the daily S&P 500 index illustrates its capabilities. ; This paper is accepted by Journal of Time Series Analysis. |
语种 | 中文 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/56920] ![]() |
专题 | 王亚南院-已发表论文 |
推荐引用方式 GB/T 7714 | Muyi Li,Wai Keung Li,Guodong Li. On Mixture Memory GARCH Models[J]. http://www.wise.xmu.edu.cn/paperInfor.asp?id=288,2013. |
APA | Muyi Li,Wai Keung Li,&Guodong Li.(2013).On Mixture Memory GARCH Models.http://www.wise.xmu.edu.cn/paperInfor.asp?id=288. |
MLA | Muyi Li,et al."On Mixture Memory GARCH Models".http://www.wise.xmu.edu.cn/paperInfor.asp?id=288 (2013). |
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