统计研究

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时变C-Vine Copula模型的统计推断

龚金国 邓入侨   

  • 出版日期:2015-04-15 发布日期:2015-05-21

Statistical Inference of Time-Varying C-Vine Copula Model

Gong Jinguo& Deng Ruqiao   

  • Online:2015-04-15 Published:2015-05-21

摘要: 如何更为科学、合理地刻画高维金融变量间的非线性动态相关结构,长期以来都是学界与实务界关注的重要问题。本文基于广义自回归得分(GAS)理论,提出时变C-Vine Copula模型,并给出了该模型的半参数估计方法和模型拟合的假设检验。最后,通过实施大量的蒙特卡洛仿真实验,结果表明基于GAS理论的时变C-Vine Copula模型能刻画高维随机变量间的非线性动态相关结构,且具有较好的稳健特征。

关键词: C-Vine Copula, 广义自回归得分, 时变参数, 动态相关结构

Abstract: It is a hot topic for both academic and practical fields to describe the nonlinear dynamic dependence structure among high dimensional financial variables accurately. In this paper, based on Generalized Auto-regressive Score (GAS) theory, we propose a new semi-parametric method in estimating the time-varying parameters and a goodness of fit test of the time-varying C-Vine Copula model. It shows that the model could capture the nonlinear and dynamic dependence structure among random variables. The reliable and robust performances of the proposed method are further illustrated by Monte Carlo simulation.

Key words: C-Vine Copula, Generalized Auto-regressive Score, Time-Varying Parameter, Dynamic Dependence Structure