179
Views
23
CrossRef citations to date
0
Altmetric
Original Articles

SINGULAR ELLIPTICAL DISTRIBUTION: DENSITY AND APPLICATIONS

, &
Pages 665-681 | Published online: 15 Feb 2007

REFERENCES

  • Kelker , D. 1970 . Distribution Theory of Spherical Distributions and a Location Scale Parameter Generalization . Sankhya (Ser. A) , 32 : 419 – 430 .
  • Dawid , A.P. 1977 . Spherical Matrix Distributions and a Multivariate Model . J. of the Royal Stat. Soc. (Ser. B) , 39 : 254 – 261 .
  • Cambanis , S. , Huang , S. and Simons , G. 1981 . On the Theory of Elliptically Contoured Distributions . J. of Multivariate Analysis , 11 : 365 – 385 .
  • Schoenberg , I.J. 1938 . Metric Spaces and Completely Monotone Functions Variates . Australian J. Stat. , 7 : 110 – 114 .
  • Lord , R.D. 1954 . The Use of Hankel Transform in Statistics. I. General Theory and Examples . Biometrika , 41 : 44 – 45 .
  • Anderson , T.W. and Fang , K.-T. 1989 . Statistical Inference in Elliptically Contoured and Related Distributions Allerton Press Inc. .
  • Fang , K.T. and Zhang , Y.T. 1990 . Generalized Multivariate Analysis Beijing : Sciences Press . Springer-Verlag: Berlin
  • Fang , K.T. , Kotz , S. and Ng , K.W. 1990 . Symmetric Multivariate and Related Distribution London : Chapman and Hall .
  • Gupta , A.K. and Varga , T. 1993 . Elliptically Contoured Models in Statistics Boston : Kluwer Academic Publishers .
  • Arellano , R. 1994 . “ Distribucoes Elipticas: Propriedades, Inferencia e Aplica-coes a Modelos de Regressao ” . Brazil : São Paulo University . Unpublished Ph.D. Thesis: (in Portuguese)
  • Leiva-Sánchez , V. 1999 . “ Inferencias Sobre el Coeficiente de Variación Bajo Poblaciones Elípticas ” . Spain : Granada University . Unpublished Ph.D. Thesis (in Spanish)
  • Cacoullos , T. and Koutras , M. 1984 . Quadratic Form in Spherical Random Variables Noncentral χ2-Distributions . Naval Res. Logist. Quart. , 31 : 447 – 461 .
  • Fang , K.T. and Wu , Y. 1984 . Distribution of Quadratic Forms and Cochran's Theorem . Mathematics in Economics , 1 : 29 – 48 .
  • Anderson , T.W. and Fang , K.-T. 1987 . Cochran's Theorem for Elliptically Contoured Distributions . Sankhya (Ser. A) , 49 : 305 – 315 .
  • Rao , C.R. 1965 . Linear Statistical Inference and Its Applications New York : Wiley .
  • Díaz-Garía , J.A. , Leiva-Sánchez , V. and Galea , M. 2000 . “ Distribución Elíptica Singular: Densidad y Aplicaciones, Technical Report UV-EST-A-002-2000 ” . Chile : Valparaíso University . (in Spanish)
  • Billingsley , P. 1979 . Probability and Measure New York : John Wiley & Sons .
  • Fan , J. 1984 . “ Generalized Non-Central t-, ℱ, and T 2-Distributions ” . In Statistical Inference in Elliptically Contoured and Related Distribu-tions Allerton Press .
  • Teng , Ch. , Fang , H. and Deng , W. 1989 . The Generalized Noncentral Wishart Distribution . J. of Mathematical Research and Exposition , 9 ( 4 ) : 479 – 488 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.