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Corners and Records of the Poisson Process in Quadrant
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Alexander Gnedin, Utrecht University
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Abstract
The scale-invariant spacings lemma due to Arratia, Barbour and Tavaré
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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Full text: PDF
Pages: 187-193
Published on: April 9, 2008
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Electronic Communications in Probability. ISSN: 1083-589X |
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