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Output dead-time in point processes

Abstract : 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.
Keywords : Physical Sciences
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Submitted on : Saturday, October 9, 2010 - 2:54:24 AM
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Bernard Picinbono. Output dead-time in point processes. Communications in Statistics - Simulation and Computation, Taylor & Francis, 2009, 38 (10), pp.2198-2213. ⟨10.1080/03610910903268833⟩. ⟨hal-00524864⟩

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