Nikolay M. Yanev

TL;DR: In this article, the relative frequencies of distinct types of individuals in multitype branching processes were investigated and it was shown that the frequencies are asymptotically multivariate normal when the initial number of ancestors is large and the time of observation is fixed.

TL;DR: The asymptotic behavior of multitype Markov branching processes with discrete or continuous time is investigated in the positive regular and nonsingular case when both the initial number of ancestors and the time tend to infinity.

TL;DR: In this article, two new models of reducible age-dependent branching processes with emigration in conjunction with estimation problems arising in cell biology are considered. But the problem is motivated by experimental data generated by time-lapse video recording of cultured cells, which provides abundant information on their individual evolutions.

TL;DR: In this article, age and residual lifetime distributions associated with branching stochastic processes with non-homogeneous Poisson immigration were investigated and the required distributions and their limiting forms were derived in a general class of age-dependent branching processes.