Tsvetomira Zlatkova, Vessela Stoimenova
Faculty of Mathematics and Informatics,
Sofia University St. Kliment Ohridski, Sofia (Bulgaria)
https://doi.org/10.53656/math2025-5-1-nml
Abstract. In the present work we consider a special case of estimation in branching stochastic processes with random migration. The aim is to estimate the distributions of the offspring, of the emigration and of the immigration components, as well as the migration events probabilities, using information about the entire family tree. For this purpose, the nonparametric maximum likelihood method is chosen. Additionally, estimators of the probability mass functions are derived and evaluated through simulations and computational analysis.
Keywords: branching processes, migration, nonparametric estimators, simulation, maximum likelihood
