Characterizations of subclasses of type G distributions on ℝRd by stochastic integral representations

Takahiro Aoyama, Makoto Maejima

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The class of type G distributions on ℝd and its nested subclasses are studied. An analytic characterization in terms of Lévy measures for the class of type G distributions is known. In this paper, probabilistic characterizations by stochastic integral representations for all classes are shown, and analytic characterizations for the nested subclasses are given in terms of Lévy measures.

Original languageEnglish
Pages (from-to)148-160
Number of pages13
Issue number1
Publication statusPublished - 2007
Externally publishedYes


  • Infinitely divisible distribution on ℝR
  • Lévy process
  • Stochastic integral representation
  • Type G distribution

ASJC Scopus subject areas

  • Statistics and Probability


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