Corners and Records of the Poisson Process in Quadrant
classification
🧮 math.PR
keywords
processpoissonpointsquadrantspacingsarratiabarbourcertain
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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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