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基于Gibbs抽样的厚尾SV模型贝叶斯分析及其应用 被引量:7

Bayesian Heavy-tailed Stochastic Volatility Model in Finance Analysis Based on MCMC Simulation
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摘要 我国的金融时间序列存在普遍的波动性现象,而波动性又存在尖峰厚尾现象。首先对反映波动性特征的厚尾金融随机波动模型(SV-T)进行贝叶斯分析,然后构造基于Gibbs抽样的MCMC数值计算过程进行仿真分析,最后利用DIC准则对SV-N模型和SV-T模型进行优劣比较。研究结果表明:在模拟我国股市的波动性的方面,SV-T模型比SV-N模型更优,更能反应我国股市的尖峰后尾的特性,并且证明了我国股市具有很强的波动持续性。 Our country's finance time series exist the umversal piaenomenon ot volatility, anO tiae volatility has me property or Peak and heavy-tail. The first is to analyze Bayesian heavy-tail finance stochastic volatility model reflecting the volatility characteristic. The second is to design a Markov chain Monte Carlo algorithm procedure with Gibbs sampler to carry on simulation analysis. At last the SV-N model and SV-T model in the quality were compared using the DIC criterion. The findings indicate that, in simulating the volatility of stock market of China, the SV-T model is superior to the SV-N model, which can characterize the leptokurtic of stock returns in stock market of China. It is proved that the stock market in china has a high persistence of volatility.
出处 《系统仿真学报》 EI CAS CSCD 北大核心 2008年第9期2479-2482,共4页 Journal of System Simulation
基金 国家自然科学基金项目(7070138) 教育部新世纪优秀人才支持计划项目(NCET050704) 教育部人文社科规划项目(06JA910001)
关键词 SV-T模型 仿真 贝叶斯推断 GIBBS抽样 蒙特卡罗方法 SV-T model simulation Bayesian inference Gibbs samolin~ Monte Carlo methods
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参考文献13

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