Time-Varying Mixture Copula Models with Copula Selection

Time-Varying Mixture Copula Models with Copula Selection
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具有 Copula 选择的时变混合 Copula 模型

DOI:
10.5705/ss.202020.0005
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发表时间:
2021
期刊:
影响因子:
1.4
通讯作者:
Guannan Liu
Guannan Liu
中科院分区:
数学3区
文献类型:
--
作者:
Bingduo Yang;Zongwu Cai;Christian Hafner;Guannan Liu

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Modeling the joint tails of multiple financial time series has many important implications for risk management. Classical models for dependence often encounter a lack of fit in the joint tails, calling for additional flexibility. This paper introduces a new semiparametric time-varying mixture copula model, in which both weights and dependence parameters are deterministic and unspecified functions of time. We propose penalized time-varying mixture copula models with group smoothly clipped absolute deviation penalty functions to do the estimation and copula selection simultaneously. Monte Carlo simulation results suggest that the shrinkage estimation procedure performs well in selecting and estimating both constant and time-varying mixture copula models. Using the proposed model and method, we analyze the evolution of the dependence among four international stock markets, and find substantial changes in the levels and patterns of the dependence, in particular around crisis periods.
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