Geodesic
New properties of bivariate maxima of particle scores in branching processes with continuous time
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2020), pp. 17-23

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Bivariate maxima of particle scores in immortal branching processes with continuous time are studied. The limit distribution for a maximum of two scores at two points in time is found. The limit intensities of the up and down jumps of the maximum for both sбores or at least one score are obtained. In the case of independent scores, mean total numbers of joint maxima jumps up and down are calculated. Results are illustrated by examples. 
@article{VMUMM_2020_1_a1,
     author = {A. V. Karpenko},
     title = {New properties of bivariate maxima of particle scores in branching processes with continuous time},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {17--23},
     publisher = {mathdoc},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_1_a1/}
}
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A. V. Karpenko. New properties of bivariate maxima of particle scores in branching processes with continuous time. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2020), pp. 17-23. http://geodesic.mathdoc.fr/item/VMUMM_2020_1_a1/