Abstract:
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 sáores 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.