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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 3, Pages 542–555 (Mi tvp3453)  
Asymptotic properties of thinning random sets

M. I. Rivlin

State Marine Technical University of St. Petersburg
Full-text PDF (737 kB)
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.
Received: 04.06.1992
Revised: 30.08.1993
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 3, Pages 484–494
DOI: https://doi.org/10.1137/1140052
Bibliographic databases:
Language: Russian
Citation: M. I. Rivlin, “Asymptotic properties of thinning random sets”, Teor. Veroyatnost. i Primenen., 40:3 (1995), 542–555; Theory Probab. Appl., 40:3 (1995), 484–494
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 3
\pages 484--494
\crossref{https://doi.org/10.1137/1140052}
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