A Note on Limit Theorems for Markov Branching Processes

摘要

This paper shows how the fundamental limit theorems for continuous parameter Markov branching processes can be derived using the corresponding limit theorems for Galton-Watson processes. Each limit theorem is considered in a general context which connects the limiting behavior of an appropriate function pi(t) as t approaches infinity with that of the sequences pi(n delta), delta> 0, as n approaches infinity. (Author)