Some Theoretical Results on the Progeny of a Bisexual Galton-Watson Branching Process

González, M.; Molina, M.

Serdica Mathematical Journal (1997)

  • Volume: 23, Issue: 1, page 15-24
  • ISSN: 1310-6600

Abstract

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A Superadditive Bisexual Galton-Watson Branching Process is considered and the total number of mating units, females and males, until the n-th generation, are studied. In particular some results about the stochastic monotony, probability generating functions and moments are obtained. Finally, the limit behaviour of those variables suitably normed is investigated.

How to cite

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González, M., and Molina, M.. "Some Theoretical Results on the Progeny of a Bisexual Galton-Watson Branching Process." Serdica Mathematical Journal 23.1 (1997): 15-24. <http://eudml.org/doc/11600>.

@article{Gonza1997,
abstract = {A Superadditive Bisexual Galton-Watson Branching Process is considered and the total number of mating units, females and males, until the n-th generation, are studied. In particular some results about the stochastic monotony, probability generating functions and moments are obtained. Finally, the limit behaviour of those variables suitably normed is investigated.},
author = {González, M., Molina, M.},
journal = {Serdica Mathematical Journal},
keywords = {Bisexual Galton-Watson Branching Process; Stochastic Monotony; Total Progeny; Limit Behaviour; bisexual Galton-Watson branching process; stochastic monotonicity; limit behaviour; total progeny},
language = {eng},
number = {1},
pages = {15-24},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Some Theoretical Results on the Progeny of a Bisexual Galton-Watson Branching Process},
url = {http://eudml.org/doc/11600},
volume = {23},
year = {1997},
}

TY - JOUR
AU - González, M.
AU - Molina, M.
TI - Some Theoretical Results on the Progeny of a Bisexual Galton-Watson Branching Process
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 1
SP - 15
EP - 24
AB - A Superadditive Bisexual Galton-Watson Branching Process is considered and the total number of mating units, females and males, until the n-th generation, are studied. In particular some results about the stochastic monotony, probability generating functions and moments are obtained. Finally, the limit behaviour of those variables suitably normed is investigated.
LA - eng
KW - Bisexual Galton-Watson Branching Process; Stochastic Monotony; Total Progeny; Limit Behaviour; bisexual Galton-Watson branching process; stochastic monotonicity; limit behaviour; total progeny
UR - http://eudml.org/doc/11600
ER -

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