Stationary point process, Palm measure and collision risk

Ludovic d'Estampes (1) , Pascal Lezaud (1)

1 ENAC - Ecole Nationale de l'Aviation Civile

The classical probability of collision between an aircraft whose the path crosses a flow of aircraft is derived under the assumption that it is described by a Poisson process. Using the so-called Palm measure, we extend the classical result to a stationary point process.

Mots clés: Palm measure; point process; collision risk

Domaines: Mathématiques [math]; Probabilités [math.PR]

Ludovic d'Estampes, Pascal Lezaud. Stationary point process, Palm measure and collision risk. ISIATM 2013, 2nd International Conference on Interdisciplinary Science for Innovative Air Traffic Management, Jul 2013, Toulouse, France. ⟨hal-00867948⟩