A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process

González, M., Martínez, R., and Mota, M.. "A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process." Serdica Mathematical Journal 30.4 (2004): 483-494. <http://eudml.org/doc/219591>.

@article{González2004,
abstract = {2000 Mathematics Subject Classification: 60J80.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.Research supported by the Ministerio de Ciencia y Tecnología and the FEDER through the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2003-06074.},
author = {González, M., Martínez, R., Mota, M.},
journal = {Serdica Mathematical Journal},
keywords = {Periodic Multitype Galton-Watson Branching Process; Almost Sure Convergence; Cycle; almost sure convergence; cycle},
language = {eng},
number = {4},
pages = {483-494},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process},
url = {http://eudml.org/doc/219591},
volume = {30},
year = {2004},
}

TY - JOUR
AU - González, M.
AU - Martínez, R.
AU - Mota, M.
TI - A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 4
SP - 483
EP - 494
AB - 2000 Mathematics Subject Classification: 60J80.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.Research supported by the Ministerio de Ciencia y Tecnología and the FEDER through the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2003-06074.
LA - eng
KW - Periodic Multitype Galton-Watson Branching Process; Almost Sure Convergence; Cycle; almost sure convergence; cycle
UR - http://eudml.org/doc/219591
ER -