关键词: Bisexual Galton-Watson branching processes, immigration, almost sure convergence, L¹-convergence

Abstract:

In this article the supercritical bisexual Galton--Watson branching processes with the immigration of mating units is considered. A necessary condition for the almost sure convergence, and a sufficient condition for the L¹ convergence are given for the process with the suitably normed condition.

Key words: Bisexual Galton-Watson branching processes, immigration, almost sure convergence, L¹-convergence