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Title: Estimation of the Offspring and Immigration Mean Vectors for Bisexual Branching Processes with Immigration of Females and Males
Authors: Gonzalez, M.
Molina, M.
Mota, M.
del Puerto, I.
Keywords: Bisexual branching processes
moment method
least squares method
asymptotic properties
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 63p-80p
Abstract: This paper concerns with the bisexual branching model with immigration of females and males in each generation introduced in [4]. For this model the problem of estimating the offspring and immigration mean vectors is dealt. The estimation is considered in two sample situations, depending on the ability to observe the number of female and male immigrants or the impossibility to do it. The asymptotic properties of the proposed estimators are investigated in the supercritical case. The behaviour of the estimators is illustrated through a simulated example.
Description: 2000 Mathematics Subject Classification: 60J80, 62M05.
ISSN: 0204-9805
Appears in Collections:2011 Volume 20

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