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2008 Corners and Records of the Poisson Process in Quadrant
Alexander Gnedin
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Electron. Commun. Probab. 13: 187-193 (2008). DOI: 10.1214/ECP.v13-1351


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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Alexander Gnedin. "Corners and Records of the Poisson Process in Quadrant." Electron. Commun. Probab. 13 187 - 193, 2008.


Accepted: 9 April 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1191.60064
MathSciNet: MR2399280
Digital Object Identifier: 10.1214/ECP.v13-1351

Primary: 60G70

Keywords: $k$-corners , $k$-records , Ignatov's theorem , self-similar Poisson process

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