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Theory and Method

Estimating Heteroscedastic Variances in Linear Models

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Pages 380-385 | Received 01 Aug 1973, Published online: 06 Apr 2012

References

  • Anscombe , F. J. and Tukey , J. W. 1963 . “The Examination and Analysis of Residuals,” . Technometrics , 5 May : 141 – 60 .
  • Chew , V. 1970 . “Covariance Matrix Estimation in Linear Models,” . Journal of the American Statistical Association , 65 March : 173 – 81 .
  • Duncan , D. B. 1966 . “Simultaneous Recursive Estimation of a Trajectory and the Variances Involved,” , Florida : Patrick Air Force Base . PAA Technical Staff Memo No. 63, ETV-TM-66-40
  • Duncan , D. B. February 1974 . “Adaptive Linear Dynamic Recursive Smoothing, Filtering, and Prediction,” , February , Departments of Mathematical Sciences and Biostatistics, The Johns Hopkins University . Technical Report No. 182
  • Duncan , D. B. and Carroll , C. L. Jr. 1962 . “Estimates of Error Spectra Derived from Estimates of the Spectra Residuals,” , Florida : Patrick Air Force Base . PAA Technical Staff Memo No. MTV-TM-62-13
  • Duncan , D. B. , Carroll , C. L. Jr. and Horn , S. D. 1972 . “Linear Dynamic Recursive Estimation from the Viewpoint of Regression Analysis,” . Journal of the American Statistical Association , 67 December : 815 – 21 .
  • Hartley , H. O. and Jayatillake , K. S. E. 1973 . “Estimation for Linear Models with Unequal Variances,” . Journal of the American Statistical Association , 68 March : 189 – 92 .
  • Hartley , H. O. , Rao , J. N. K. and Kiefer , G. 1969 . “Variance Estimation with One Unit Per Stratum,” . Journal of the American Statistical Association , 64 September : 841 – 51 .
  • Horn , S. D. and Horn , R. A. “Comparison of Estimators of Heteroscedastic Variances in Linear Models,” . Journal of the American Statistical Association , (to appear)
  • Horn , S. D. and Horn , R. A. August 1973 . “Efficiency of Estimators of Heteroscedastic Variances in Linear Models,” , August , Department of Mathematical Sciences, The Johns Hopkins University . Technical Report No. 172
  • Jacquez , J. A. and Norusis , M. 1973 . “Sampling Experiments on the Estimation of Parameters in Heteroscedastic Linear Regression,” . Biometrics , 29 December : 771 – 80 .
  • Mallela , P. 1972 . “Necessary and Sufficient Conditions for MINQUE–Estimation of Heteroscedastic Variances in Linear Models,” . Journal of the American Statistical Association , 67 June : 486 – 7 .
  • Mandel , J. 1964 . “Estimation of Weighting Factors in Linear Regression and Analysis of Variance,” . Technometrics , 6 February : 1 – 25 .
  • Marcus , M. and Minc , H. 1964 . A Survey of Matrix Theory and Matrix Inequalities , Boston : Prindle, Weber and Schmidt .
  • Rao , C. R. 1970 . “Estimation of Heteroscedastic Variances in Linear Models,” . Journal of the American Statistical Association , 65 March : 161 – 72 .
  • Rao , C. R. 1971 . “Estimation of Variance and Covariance Components–MINQUE Theory,” . Journal of Multivariate Analysis , 1 September : 257 – 75 .
  • Rao , C. R. 1971 . “Minimum Variance Quadratic Unbiased Estimation of Variance Components,” . Journal of Multivariate Analysis , 1 December : 445 – 56 .
  • Rao , C. R. 1972 . “Estimation of Variance and Covariance Components in Linear Models,” . Journal of the American Statistical Association , 67 March : 112 – 5 .
  • Rao , J. N. K. 1973 . “On the Estimation of Heteroscedastic Variances,” . Biometrics , 29 March : 11 – 24 .
  • Rao , J. N. K. and Subrahmaniam , K. 1971 . “Combining Independent Estimators and Estimation in Linear Regression with Unequal Variances,” . Biometrics , 27 December : 971 – 90 .
  • Wilson , P. June 1970 . “Adaptive Estimation in Non-Stationary Multivariate Time Series,” , June , Department of Biostatistics . Unpublished Ph.D. thesis, The Johns Hopkins University

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