报告题目:Central limit theorems for Largest Eigenvalues and Unit Root Tests for High Dimensional
Nonstationary Time Series
报 告 人:潘光明 副教授 (新加坡南洋理工大学)
报告时间:2017年06月25日(星期日)下午16:00-17:00
报告地点:4号楼4318室
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数学学院
2017年06月22日
报告摘要:
This talk is about both the convergence in probability and the asymptotic joint distribution of the first $k$ largest eigenvalues of sample covariance matrices when data are nonstationary. As an application, a new unit root test for a vector of high dimensional time series is proposed and then studied both theoretically.