Corners and Records of the Poisson Process in Quadrant

Details Corners and Records of the Poisson Process in Quadrant Corners and Records of the Poisson Process in Quadrant

2007-09-09

arxiv.org/abs/0709.1285v1

Mathematics

Probability

6 pages

Scientific paper

The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{\'e}
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.

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