The palm-duality for random subsets of d-dimensional grids

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Abstract

The Palm version of a stationary random subset of a d-dimensional grid is contructed using the two-step change-of-origin and change-of-measure method. An elementary proof is given of the fact that the Palm version is characterized by point-stationarity (distributional invariance under bijective shifts of the origin from a point of the set to another point of the set).

Original languageEnglish
Pages (from-to)318-325
Number of pages8
JournalAdvances in Applied Probability
Volume39
Issue number2
DOIs
Publication statusPublished - Jun 2007

Other keywords

  • Palm theory
  • Point processes
  • Stationary random field

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