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On a Pitman-Yor problem


  • Iksanov, A.M.Aleksander M.
  • Kim, Che-Soong


We answer the question posed by Pitman and Yor (Canad. J. Math. 55 (2003) 292-330) about the existence of probability distributions which solve distributional equation of a special type. In the "typical" case we study the tail behaviour of these distributions. Two new explicit examples are given.

Suggested Citation

  • Iksanov, A.M.Aleksander M. & Kim, Che-Soong, 2004. "On a Pitman-Yor problem," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 61-72, June.
  • Handle: RePEc:eee:stapro:v:68:y:2004:i:1:p:61-72

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    References listed on IDEAS

    1. Aleksander M. Iksanov & Che Soong Kim, 2004. "New Explicit Examples of Fixed Points of Poisson Shot Noise Transforms," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 313-321, June.
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    Cited by:

    1. Iksanov, Aleksander M., 2004. "Elementary fixed points of the BRW smoothing transforms with infinite number of summands," Stochastic Processes and their Applications, Elsevier, vol. 114(1), pages 27-50, November.


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