• Title of article

    On Cauchy–Stieltjes kernel families

  • Author/Authors

    Bryc، نويسنده , , W?odek and Fakhfakh، نويسنده , , Raouf and Hassairi، نويسنده , , Abdelhamid، نويسنده ,

  • Issue Information
    دوفصلنامه با شماره پیاپی سال 2014
  • Pages
    18
  • From page
    295
  • To page
    312
  • Abstract
    We explore properties of Cauchy–Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy–Stieltjes family to the pseudo-variance function of the initial Cauchy–Stieltjes family. We also investigate when the domain of means can be extended beyond the “natural domain”.
  • Keywords
    Free stable law , Cauchy kernel , Exponential families
  • Journal title
    Journal of Multivariate Analysis
  • Serial Year
    2014
  • Journal title
    Journal of Multivariate Analysis
  • Record number

    1566597