On Infinitely Divisible Distributions on Locally Compact Abelian Groups

研究成果: Article査読

18 被引用数 (Scopus)

抄録

Our aim in this paper is to characterize some classes of infinitely divisible distributions on locally compact abelian groups. Firstly infinitely divisible distributions with no idempotent factor on locally compact abelian groups are characterized by means of limit distributions of sums of independent random variables. We introduce semi-selfdecomposable distributions on topological fields, and in case of totally disconnected fields we give a limit theorem for them. We also give a characterization of semistable laws on p-adic field and show that semistable processes are constructed as scaling limits of sums of i.i.d.

本文言語English
ページ(範囲)635-657
ページ数23
ジャーナルJournal of Theoretical Probability
13
3
DOI
出版ステータスPublished - 2000
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 数学 (全般)
  • 統計学、確率および不確実性

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