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Original Articles

A study on the performance of covariance matrix estimators

Pages 259-276 | Received 13 Apr 1993, Published online: 10 Jan 2009

References

  • Anderson , T. W. 1984 . “ An Introduction to Multivariate Statistical Analysis ” . New York : John Wiley .
  • Barnett , V. and Lewis , T. 1984 . Outliers in Statistical Data , second edition , New York : John Wiley .
  • Campbell , N. A. 1980 . Robust procedures in multivariate analysis I: Robust covariance estimation . Appl. Statistics , 29 : 231 – 237 .
  • Devlin , S. J. , Gnanadesikan , R. and Kettenring , J. R. 1981 . Robust estimation of dispersion matrices and principal components . J. Amer. Statistical Assoc. , 76 : 354 – 362 .
  • Efron , B. 1987 . Better bootstrap confidence intervals . J. Amer. Statistical Assoc. , 82 ( 397 ) : 171 – 200 .
  • Gnanadesikan , R. 1977 . Methods of Statistical Data Analysis of Multivariate Observations , New York : John Wiley .
  • Gnanadesikan , R. and Kettenring , J. R. 1972 . Robust estimates, residuals and outlier detection with multivariate data . Biometrics , 28 : 81 – 124 .
  • Grafarend , E. W. Optimization of geodetic networks . Proceedings of the International Symposium on Geodetic Networks and Computations . Munich. Vol. III , pp. 69 – 81 . German Commission on Geodesy .
  • Hampel , F. R. , Ronchetti , E. M. , Rousseeuw , P. J. and Stahel , W. A. 1986 . Robust Statistics: The Approach Based on Influence Functions , New York : John Wiley .
  • Hoaglin , D. C. , Mosteller , F. and Tukey , J. W. 1983 . Understanding Robust and Exploratory Data Analysis , New York : John Wiley .
  • Huber , P. J. 1981 . Robust Statistics , New York : John Wiley .
  • Mardia , K. V. 1980 . Assessment of multinormality and the robustness of Hotteling's T2 test . Appl. Statistics , 24 ( 2 ) : 163 – 171 .
  • Maronna , R. A. 1976 . Robust M‐estimators of multivariate location and scatter . Ann. of Statistics , 4 : 51 – 67 .
  • Masreliez , C. J. and Martin , R. D. 1977 . Robust Baysian estimation for the linear model and robustifying the Kalman filter . IEEE Trans. Automatic Control AC‐22 , : 361 – 371 .
  • Mertikas , S. P. 1988 . A statistical investigation into reliable and efficient accuracy measures in positioning , Fredericton, , Canada : Department of Surveying Engineering, University of New Brunswick . Ph.D. dissertation
  • Wells , D. E. , Nickerson , B. G. and Davidson , D. 1983 . Differential LORAN‐C for buoy position checking , Technical report 99 Fredericton, N.B., , Canada : Department of Surveying Engineering, University of New Brunswick .
  • Wiens , D. P. 1981 . Robust estimation of multivariate location and scale in the presence of asymmetry , Calgary, Alberta, , Canada : Department of Mathematics and Statistics, University of Calgary . Ph.D. dissertation

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