Asymptotic properties of thinning random sets
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 542-555

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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, accompanying point processes, chains of events, asymptotic distribution of the largest, strong thinning.
Mots-clés : convergence to a Poisson process
@article{TVP_1995_40_3_a4,
     author = {M. I. Rivlin},
     title = {Asymptotic properties of thinning random sets},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {542--555},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a4/}
}
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M. I. Rivlin. Asymptotic properties of thinning random sets. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 542-555. http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a4/