Output dead-time in point processes

Bernard Picinbono (1)

1 L2S - Laboratoire des signaux et systèmes

Dead-time effects modify the statistical properties of point processes. For their analysis we define a point process by the intervals between successive points and we calculate their transformation by dead-time. It cannot be expressed in closed form but we show that it can be written in a recursive form. Using this recursion, various statistical properties of point processes with dead-time are analyzed. We focus on the probability distribution of the intervals between points and the coincidence function describing the second-order properties. For the rare processes where calculations are possible there is an excellent agreement between computer experiments and theory.

Mots clés: Physical Sciences

Domaines: Informatique [cs]

Bernard Picinbono. Output dead-time in point processes. Communications in Statistics - Simulation and Computation, 2009, 38 (10), pp.2198-2213. ⟨10.1080/03610910903268833⟩. ⟨hal-00524864⟩