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Positive definite symmetric functions on finite-dimensional spaces II


  • Richards, Donald St. P.


Integral representations for the density functions of absolutely continuous [alpha]-symmetric random vectors are derived, and general methods for constructing new [alpha]-symmetric distributions are presented. An explicit formula, for determining the spectral measure of a symmetric stable random vector from its characteristic function, is obtained.

Suggested Citation

  • Richards, Donald St. P., 1985. "Positive definite symmetric functions on finite-dimensional spaces II," Statistics & Probability Letters, Elsevier, vol. 3(6), pages 325-329, October.
  • Handle: RePEc:eee:stapro:v:3:y:1985:i:6:p:325-329

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    Cited by:

    1. Zastavnyi, Victor P., 2000. "On Positive Definiteness of Some Functions," Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 55-81, April.


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