Geodesic
Multidimensional records of particle scores in overcritical branching processes with continuous time
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 14-20

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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. 
@article{VMUMM_2022_6_a2,
     author = {A. V. Nazmutdinova},
     title = {Multidimensional records of particle scores in overcritical branching processes with continuous time},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--20},
     publisher = {mathdoc},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a2/}
}
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A. V. Nazmutdinova. Multidimensional records of particle scores in overcritical branching processes with continuous time. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 14-20. http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a2/