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半参数门限广义非对称随机波动模型研究
引用本文:梁秋阳,陈家清,王仁祥.半参数门限广义非对称随机波动模型研究[J].数学的实践与认识,2021(5):36-44.
作者姓名:梁秋阳  陈家清  王仁祥
作者单位:武汉理工大学理学院;武汉理工大学经济学院
基金项目:国家自然科学基金面上资助项目(81671633)。
摘    要:为了能够同时刻画和描述金融资产收益序列的偏态、厚尾以及序列的门限效应、非对称杠杆效应等特性,提出把门限广义非对称随机波动模型与非参数Dirichlet过程混合模型有机结合,构建了半参数门限广义非对称随机波动模型,并对模型进行了贝叶斯分析.实证研究中,利用上海黄金价格收益率序列数据进行建模分析,结果表明:半参数门限广义非对称随机波动模型能够有效地刻画上海黄金价格收益率序列波动率的动态特征.

关 键 词:TGASV-DPM模型  上海黄金价格  贝叶斯分析  波动率

Research on Semiparametric Threshold Generalized Asymmetric Stochastic Volatility Model
LIANG Qiu-yang,CHEN Jia-qing,WANG Ren-xiang.Research on Semiparametric Threshold Generalized Asymmetric Stochastic Volatility Model[J].Mathematics in Practice and Theory,2021(5):36-44.
Authors:LIANG Qiu-yang  CHEN Jia-qing  WANG Ren-xiang
Institution:(College of Science,Wuhan University of Technology,Wuhan 430070,China;College of Economics,Wuhan University of Technology,Wuhan 430070,China)
Abstract:In order to be able to characterize and describe the skewness,thick tail,and the threshold effect and asymmetric leverage effect of the sequence of financial asset returns simultaneously,this paper proposes to combine the threshold generalized asymmetric stochastic volatility model and the nonparametric Dirichlet process hybrid model to construct a semiparametric threshold generalized asymmetric stochastic volatility model,and Bayesian analysis is used to analyze the model.In the empirical study,the Shanghai gold price return sequence data was used for modeling analysis.The empirical analysis result shows that the semiparametric threshold generalized asymmetric stochastic volatility model can effectively characterize the volatility of Shanghai gold price and return series.
Keywords:TGASV-DPM model  Shanghai gold price  Bayesian analysis  volatility
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