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Title: Statistical Estimation in Branching Processes with Bivariate Poisson Offspring Distribution
Authors: Staneva, Ana
Stoimenova, Vessela
Keywords: Bivariate power series distributions
Bayesian estimation
Trimmed likelihood
Multitype branching processes
Issue Date: 2015
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 24, No 1, (2015), 73p-88p
Abstract: We consider two-type branching stochastic processes with offspring distributions from the bivariate poisson distribution family. We study the parametric estimation under different sampling schemes – when the entire family tree is observed and when observations only on the generation sizes are made. We use a randomized algorithm to switch from the generation sizes scheme to family tree observations and apply it in the context of the Bayesian approach. The considered estimation methods are illustrated via a simulational and computational example. 2010 Mathematics Subject Classification: Primary 60J80; Secondary 62F15, 62F35.
Description: [Staneva Ana; Станева Ана]; [Stoimenova Vessela; Стоименова Весела]
ISSN: 0204-9805
Appears in Collections:2015 Volume 24

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