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Bayesian estimation in the class of bisexual branching processes with population-size dependent mating

Content Provider	Springer Nature Link
Author	Molina, Manuel Mota, Manuel Ramos, Alfonso
Copyright Year	2007
Abstract	This paper deals with the class of bisexual branching processes with population-size dependent mating introduced in Molina et al. (2002, Bisexual Galton–Watson branching process with population-size dependent mating. J Appl Probab 39:479–490). We determine Bayes estimators for the main moments of such processes in both situations: assuming offspring distribution belonging to the bivariate power series family and considering that no assumption is made about the underlying offspring distribution. As illustration we provide several examples, in particular, considering some classical offspring distributions, we explicitly determine the proposed Bayes estimators and, through simulation, we show the evolution of their estimates and of the corresponding high posterior density credibility sets.
Starting Page	179
Ending Page	196
Page Count	18
File Format	PDF
ISSN	11330686
Journal	Test
Volume Number	17
Issue Number	1
e-ISSN	18638260
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-02-27
Publisher Institution	Spanish Society of Statistics and Operations Research
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bisexual branching processes Population-size dependent processes Bayesian inference Bivariate power series distributions family Branching processes Markov processes: estimation Statistics for Business/Economics/Mathematical Finance/Insurance Statistical Theory and Methods Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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