统计研究 ›› 2011, Vol. 28 ›› Issue (11): 93-99.

• 论文 • 上一篇    下一篇

均值和方差双重变点的贝叶斯侦测

廖远甦 朱平芳   

  • 出版日期:2011-11-15 发布日期:2011-11-01

Bayesian Detection of Structure Changes of both Mean and Variance

Liao Yuansu Zhu Pingfang   

  • Online:2011-11-15 Published:2011-11-01

摘要: 本文应用贝叶斯方法研究了股价时序的均值和方差双重变点问题。基于后验概率比,我们提出一个类似ICSS算法的快速侦测算法。通过对上证指数时序的实证分析,我们总共发现5处方差突变。其中,3处是均值和方差双重变点,它们都对应中国股市的重大结构变化。

关键词: 贝叶斯, 变点, 上证指数

Abstract: This article uses a Bayesian procedure to study structure changes of both mean and variance in stock price time series. A fast algorithm like ICSS algorithm is proposed to detect change points of both mean and variance based on posterior odds. We discover five changes of variance in a Shanghai composite index time series. Three of them are change points of both mean and variance that indicate significant structure changes in Chinese stock market.

Key words: Bayesian, Change Points, Shanghai Composite Index