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Original Articles

Implications of uncorrelatedness and independence in linear regression models

Pages 2407-2430 | Received 01 Aug 1990, Published online: 27 Jun 2007

References

  • Amemiya , T. 1985 . Advanced Econometrics , Oxford : Basil Blackwell Ltd .
  • Andrews , D. K. and Phillips , P. C. B. 1987 . “Best Median-Unbiased Estimators in Linear Regression with Bounded Asymmetric Loss Functions” . Journal of the American Statistical Association , 82 : 886 – 893 .
  • Antle , C. E. and Bain , L. J. 1969 . “A property of maximum likelihood estimators of location and scale parameters” . SIAM Review , 11 : 251 – 253 .
  • Brent , R. B. 1974 . “A Gaussian pseudo-random number generator” . Communications of the Association of Computing Machinery , 17 : 704 – 706 .
  • Brownlee , K. A. 1965 . Statistical Theory and Methodology in Science and Engineering , New York : John Wiley .
  • Broyden , C. G. 1970 . “The convergence of a class of double rank minimization algorithms, 2. The new algorithm” . Journal of the Institute of Mathematical Applications , 6 : 222 – 231 .
  • Butler , R. J. , Mc Donald , J. B. , Nelson , R. D. and White , S. B. 1990 . “Robust and Partially Adaptive estimation of Regression Models” . The Review of Economics and Statistics , 72 : 321 – 327 .
  • Coope , I. D. 1987 . “A conjugate direction implementation of the BFGS algorithm with automatic scaling” . Research Report, Department of Mathematics , 72 University of Canterbury
  • Copas , J. B. 1973 . “On the unimodality of the likelihood for the Cauchy distribution” . Biometrika , 62 : 701 – 704 .
  • Devroye , L. 1986 . Non-Uniform Random Variate Generation , Springer-Verlag .
  • Dumonceaux , R. , Antle , C.E. and Hass , G. 1973 . Likelihood Ratio Test for Discrimination Becween Tvo Models with Unknown Location and Scale Parameters . Technometrics , 15 : 19 – 27 .
  • Fletcher , R. 1970 . A new approach to variable metric algorithms . Computer Journal , 13 : 317 – 322 .
  • Fletcher , R. 1970 . A new approach to variable metric algorithms . Journal of the American Statistical Association , 16 : 1002 – 1005 .
  • Gabrielsen , G. 1982 . On the unimodality of the likelihood for the Cauchy distribution: Some comments . Biometrika , 69 : 677 – 678 .
  • Goldfarb , D. 1970 . A family of variable metric methods derived by variational means . Mathematics of Computation , 24 : 23 – 26 .
  • Judge , G.G. , Griffiths , W.G. , Carter Hill , R. , Lütkepohl , H. and Tsoung-Chao , Lee . 1982 . Introduction to The Theory and Practice of Econometrics , John Wiley .
  • Kelejian , H.H. and Prucha , I.R. 1985 . Independent or uncorrelated disturbances in linear regression An illustration of the difference . 19 : 35 – 38 .
  • King , M.L. 1982 . Some sample properties of econometric estimators and tests assuming elliptically symmetric disturbances , Monash University . W.P. No. 15/80. Department of Econometrics and Operations Research, Monash Univerisity.
  • Lange , K.L. , Little , R.J.A. and Taylor , J.M.G. 1989 . Robust Statistical Modelling using the t-distribution . Journal of the American Statistical Association , : 881 – 896 .
  • Lloyd , G.H. 1952 . Least-squares estimation of location and scale parameters using order statistics . Biometrika , 39 : 88 – 95 .
  • Lye , J.N. 1982 . Some Contributions to Finite-Sample Analysis in Three Econometric Models , Ph.D. thesis . Department of Economics, University of Canterbury.
  • Lye , J.N. 1990b . Estimating non-normal linear regression models , paper presented to Monash Econometric Symposium .
  • Lye , J.N. and Martin , V.L. 1991 . Robust Estimation Non-Normalities and Generalized Exponential Distributions , working paper University of Melbourne .
  • Muirhead , R.J. 1982 . Aspects of Multivariate Statistical Theory , New York : John Wiley .
  • Rubinstein , R.Y. 1981 . Simulation and the Monte-Carlo Method , New York : John Wiley .
  • Sarhan , A.E. and Greenberg , B.G. 1956 . Estimation of Location and Scale Parameters by Order Statistics from Singly and Doubly Censored samples . Annals of Mathematical Statistics , 27 : 427 – 451 .
  • Schmidt , P. 1976 . Econometrics , New York : Marcel Dekker Inc. .
  • Sarhan , D.F. 1970 . Conditioning of quasi-Newton methods for function minimization . Mathematics of Computation , 24 : 647 – 656 .
  • Singh , R.S. 1988 . Estimation of Error Variance in Linear Regression Models with Errors having Multivariate Student - Distribution with Unknown Degrees of Freedon . Economics Letters , 27 : 47 – 54 .
  • Sutradhar , B.S. and Ali , M.M. 1986 . Estimation of the parameters of a regression model with a multivariate-t error variable . Communications in Statistics A Theory and Methods , 15 : 429 – 450 .
  • Tiku , M.l. and Ali , M.M. 1985 . Expected Values and Variances and Covariances of Order Statistics for a family of Symmetric Distributions (Student's - t) in Selected Tables in Mathematical Statistics . R.I., American Mathematical Society , 8 : 141 – 270 . Providence
  • Thomas , D.H. 1976 . Some contributions to radial probability distributions, statistics and the operational calculi , Ph.D. Dissertation, Wayne State University .
  • Zellner , A. 1976 . Baynesian and non-Baynesian analysis of the regression model with multivariate Student- t error terms . Journal of the American Statistical Association , 71 : 400 – 405 .

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