Abstract:
General properties of stationary flows of rare events of abstract nature are studied. The totality of occurrence moments of the events is treated as a random subset of the time axis. The results obtained allow one to look from a general point of view at a number of investigations of various flows of rare events that have been considered earlier.
Keywords:thinning random sets, the probability of occurrence of rare event, convergence to a Poisson process, accompanying point processes, chains of events, asymptotic distribution of the largest, strong thinning.
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