Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 6, Pages 14–20
DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-14-20 (Mi vmumm4503) 		 
Mathematics

Multidimensional records of particle scores in overcritical branching processes with continuous time

A. V. Nazmutdinova
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DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-14-20
Abstract: Bivariate records of particle scores in immortal supercritical branching processes with continuous time are studied. The limiting intensity of records for one score and the limiting intensity of records for both scores or at least one score are found. In the case of independent scores, mean numbers of joint records for all time are calculated. The results are illustrated by examples.
Key words: multivariate distributions, extreme values, records, copulas, branching processes.
Received: 21.05.2021
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 6, Pages 269–276
DOI: https://doi.org/10.3103/S0027132222060055
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: A. V. Nazmutdinova, “Multidimensional records of particle scores in overcritical branching processes with continuous time”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 6, 14–20; Moscow University Mathematics Bulletin, 77:6 (2022), 269–276
Citation in format AMSBIB
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\paper Multidimensional records of particle scores in overcritical branching processes with continuous time
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 6
\pages 14--20
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\crossref{https://doi.org/10.55959/MSU0579-9368-1-2022-6-14-20}
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\zmath{https://zbmath.org/?q=an:7676574}
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 6
\pages 269--276
\crossref{https://doi.org/10.3103/S0027132222060055}
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