Periodic Multitype Galton-Watson Branching Process Almost Sure Convergence Cycle
Issue Date:
2004
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 30, No 4, (2004), 483p-494p
Abstract:
In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater
than 1 is considered. More specifically, almost sure convergence of some
linear functionals depending on d consecutive generations is studied under
hypothesis of non extinction. As consequence the main parameters of the
model are given a convenient interpretation from a practical point of view.
For a better understanding of the theoretical results, an illustrative example
is provided.
