• Title of article

    The distribution of symmetric matrix quotients

  • Author/Authors

    Gupta، نويسنده , , A.K. and Kabe، نويسنده , , D.G.، نويسنده ,

  • Issue Information
    دوفصلنامه با شماره پیاپی سال 2003
  • Pages
    5
  • From page
    413
  • To page
    417
  • Abstract
    Phillips (J. Multivariate Anal. 16 (1985) 157) generalizes Cramerʹs (Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, 1946) inversion formula for the distribution of a quotient of two scalar random variables to the matrix quotient case. However, he gives the result for the asymmetric matrix quotient case. This note extends Phillips’ (1985) result to the symmetric matrix quotient case.
  • Keywords
    positive definite , Matrix variate , Transformation , Inversion formula , moment generating function , Density
  • Journal title
    Journal of Multivariate Analysis
  • Serial Year
    2003
  • Journal title
    Journal of Multivariate Analysis
  • Record number

    1557934