On connection between the q-processes and the branching processes allowing immigration
Azam Abdurakhimovich Imomov · Digital Library of the Belarusian State University (Belarusian State University) · 2010
In this work we consider the Branching Processes with non-generating tra- jectories in remote future. Such processes are called as Q-processes. We discover a deeper connection between the Q-processes and the Galton-Watson Branching Processes allowing Immigration. The asymptotical properties of trajectories of Q-processes are investigated. The total progeny of Q-processes is studied.