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Measurements of Some Relaxed Properties of Point Processes

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1 Author(s)
Bernard Picinbono ; Laboratoire des Signaux et Systèmes (L2S), a joint research center of the Centre National de La Recherche Scientifique, the École Supérieure d'Électricité, The University of Paris-Sud, Plateau de Moulon, Gif sur Yvette, France

This paper presents an algorithmic method for measurements of relaxed statistical properties of point processes (PPs). In particular, this method makes it possible to determine the probability density function of the residual waiting time, which is the distance between an arbitrary origin and the first point of the PP posterior to this origin and also the probabilities of counting n points of the PP in an interval open by an instant independent of the PP. These quantities are rarely accessible from a theoretical calculation. However, in the cases where this is possible, various experiments show quite good agreement with the theory.

Published in:

IEEE Transactions on Instrumentation and Measurement  (Volume:62 ,  Issue: 7 )