Stationary point process, Palm measure and collision risk

Abstract : 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.
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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⟩

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