The Asymptotic Covariance Matrix of the Least Squares Estimator in the Stochastic Linear Regression Model: The Case of Elliptically Symmetric Distribution

References

• Ando , M. , Hodoshima , J. ( 2006 ). The robustness of asset pricing models: Coskewness and cokurtosis . Fin. Res. Lett. 3 : 133 – 146 .
   Google Scholar
• Andreou , E. , Spanos , A. ( 2003 ). Statistical adequacy and the testing of trend versus difference stationarity . Econometric Rev. 22 : 217 – 237 .
   Google Scholar
• Arslan , O. ( 2004 ). Family of multivariate generalized t distributions . J. Multivariate Anal. 89 : 329 – 337 .
   Web of Science ®Google Scholar
• Berkane , M. , Bentler , P. M. ( 1990 ). Mardia's coefficient of kurtosis in elliptical populations . Acta Mathematicae Applicatae Sinica 6 : 289 – 294 .
   Google Scholar
• Bickel , P. J. ( 1982 ). On adaptive estimation . Ann. Statist. 10 : 647 – 671 .
   Web of Science ®Google Scholar
• Campbell , J. Y. , Lo , A. W. , MacKinlay , A. C. ( 1997 ). The Econometrics of Financial Markets . Princeton : Princeton University Press .
   Google Scholar
• Chamberlain , G. ( 1983 ). A characterization of the distributions that imply mean-variance utility functions . J. Econ. Theor. 29 : 185 – 201 .
   Web of Science ®Google Scholar
• Fama , E. F. , French , K. ( 1993 ). Common risk factors in returns on stocks and bonds . J. Financ. Econ. 33 : 3 – 56 .
   Web of Science ®Google Scholar
• Fang , K. T. , Zhang , Y. T. ( 1990 ). Generalized Multivariate Analysis . New York : Springer .
   Google Scholar
• Fang , K. T. , Kotz , S. , Ng , K. W. ( 1990 ). Symmetric Multivariate and Related Distributions . London : Chapman and Hall .
   Google Scholar
• Hayashi , F. ( 2000 ). Econometrics . Princeton : Princeton University Press .
   Google Scholar
• Hodoshima , J. ( 2004 ). Tail-thickness in terms of in the class of elliptical distributions . J. Statist. Plann. Infer. 121 : 285 – 289 .
   Web of Science ®Google Scholar
• Kan , R. , Zhou , G. ( 2006 ). Modeling non-normality using multivariate t: Implications for asset pricing . Discussion paper, Washington University in St. Louis .
   Google Scholar
• Kotz , S. , Kozubowski , T. J. , Podgórski , K. ( 2001 ). The Laplace Distributions and Generalizations . Boston : Birkhäuser .
   Google Scholar
• MacKinlay , A. C. , Richardson , M. ( 1991 ). Using generalized method of moments to test mean-variance efficiency . J. Fin. 46 : 511 – 527 .
   Web of Science ®Google Scholar
• Maddala , G. S. ( 1992 ). Introduction to Econometrics. , 2nd ed. Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Mardia , K. V. ( 1970 ). Measures of multivariate skewness and kurtosis with applications . Biometrika 57 : 519 – 530 .
   Web of Science ®Google Scholar
• McGuirk , A. , Robertson , J. , Spanos , A. ( 1993 ). Modelling exchange rate dynamics: thick-tails and non-linear dependence . Econometric Rev. 12 : 33 – 63 .
   Google Scholar
• Owen , J. , Rabinovitch , R. ( 1983 ). On the class of elliptical distributions and their applications to the theory of portfolio choice . J. Fin. 38 : 745 – 752 .
   Web of Science ®Google Scholar
• Rao , C. R. ( 1973 ). Linear Statistical Inference and Its Applications. , 2nd ed. New York : Wiley .
   Google Scholar
• Sampson , A. R. ( 1974 ). A tale of two regressions . J. Amer. Statist. Assoc. 69 : 682 – 689 .
   Web of Science ®Google Scholar
• Spanos , A. ( 1994 ). On modeling heteroskedasticity: The student's t and elliptical linear regression models . Econometric Theor. 10 : 286 – 315 .
   Web of Science ®Google Scholar
• Spanos , A. ( 1995 ). On theory testing in econometrics: Modelling with nonexperimental data . J. Econometrics 67 : 189 – 226 .
   Web of Science ®Google Scholar
• Yohai , V. J. ( 1987 ). High breakdown-point and high efficiency robust estimates for regression . Ann. Statist. 10 : 647 – 671 .
   Google Scholar
• Zhou , G. ( 1993 ). Asset pricing tests under alternative distributions . J. Fin. 48 : 1927 – 1942 .
   Web of Science ®Google Scholar