Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration
Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration

Summary/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.

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