ASYMPTOTIC PROPERTIES AND LIMITING DISTRIBUTIONS OF BRANCHING PROCESSES

This article examines issues related to probability theory and the theory of branching processes. The main focus is on probability functions, generating functions, and their asymptotic properties. The application of Kolmogorov’s theorem is also demonstrated, and the limiting properties of distributions are investigated. The results obtained are of great significance for the advanced study of mathematical statistics and the theoretical foundations of branching processes.