Robust Covariance Matrix Estimation with Canonical Correlation Analysis


  •  Jianfeng Zhang    
  •  David Olive    
  •  Ping Ye    

Abstract

This paper gives three easily computed highly outlier resistant robust $\sqrt{n}$ consistent estimators of multivariate location and dispersion for elliptically contoured distributions with fourth moments. When the data is from a multivariate normal distribution, the dispersion estimators are also consistent estimators of the covariance matrix. Outlier detection and robust canonical correlation analysis are presented as applications.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1927-7032
  • ISSN(Online): 1927-7040
  • Started: 2012
  • Frequency: bimonthly

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