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arXiv 0709.1285math.PR
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象限中泊松过程的角点与记录

Corners and Records of the Poisson Process in Quadrant

Alexander Gnedin

摘要:

由Arratia,Barratia和Tavar{é}提出的标度不变间距引理建立了自相似泊松过程的分布恒等式和该过程的点之间的间距集。本文将这一结果与单位泊松过程在正象限内的一组极值点的性质联系起来。

英文摘要:

The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{é} establishes the distributional identity of a self-similar Poisson process and the set of spacings between the points of this process. In this note we connect this result with properties of a certain set of extreme points of the unit Poisson process in the positive quadrant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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