A New Semiparametric Estimation Approach of Large Dynamic Covariance Matrices with Multiple Conditioning Variables
时间:2018.07.04 浏览次数:351
主题 A New Semiparametric Estimation Approach of Large Dynamic Covariance Matrices with Multiple Conditioning Variables
  • 演讲人 Professor Jia Chen(University of York, UK)
  • 时间 2018年07月06日 周五上午9:00-10:00
  • 地点 玉泉校区工商楼2楼报告厅(200-9)
  • 主办单位 数学科学学院,数据科学研究中心

摘要:We study estimation of dynamic covariance matrices with multiple conditioning variables, where the matrix size can be ultra large (divergent at an exponential rate of the sample size). We introduce an easy-to-implement semiparametric method to estimate each entry of the covariance matrix via model averaging marginal regression, and then apply a shrinkage technique to obtain the large dynamic covariance matrix estimation. Under some regularity conditions, we derive the asymptotic properties for the proposed estimators including the uniform consistency with general convergence rates. We further consider extending our methodology to deal with the scenarios: (i) the number of conditioning variables is divergent as the sample size increases, and (ii) the large covariance matrix is conditionally sparse. Simulation studies are conducted to illustrate the finite-sample performance of the developed methodology. An application to financial portfolio choice is also provided.


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