Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2207

 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 processesimmigrationmoment methodleast squares methodasymptotic 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. URI: http://hdl.handle.net/10525/2207 ISSN: 0204-9805 Appears in Collections: 2011 Volume 20

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