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
Citation
Alexander Gnedin. "Corners and Records of the Poisson Process in Quadrant." Electron. Commun. Probab. 13 187 - 193, 2008. https://doi.org/10.1214/ECP.v13-1351
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