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  • 标题:A multiplicative short proof for the unimodality of stable densities
  • 本地全文:下载
  • 作者:Simon, Thomas
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2011
  • 卷号:16
  • 页码:623-629
  • DOI:10.1214/ECP.v16-1672
  • 出版社:Electronic Communications in Probability
  • 摘要:Revisiting an article by Chernin and Ibragimov on unimodality of stable laws, we show that their approach to deduce the general case from the extremal ones, whose completion contained an error as discovered later by Kanter, can be carried out successfully in considering Bochner's subordination and multiplicative strong unimodality. This short proof of the unimodality of all stable densities yields also a multiplicative counterpart to Yamazato's additive ones.
  • 关键词:Stable law; unimodality;60E07; 60E15
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