Output dead-time in point processes

International audienceDead-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