Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2290

 Title: Parametric Estimation in Branching Processes with an Increasing Random Number of Ancestors Authors: Stoimenova, VesselaYanev, Nickolay Keywords: Branching processesrandom number of ancestorspower series distributionparamertic estimationconsistencyasymptotic normalityefficiency Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 17, No 1, (2005), 295p-312p Abstract: The paper deals with a parametric estimation in branching processes {Zt(n)} having random number of ancestors Z0(n) as both n and t tend to infinity (and thus Z0(n) in some sense). The offspring distribution is considered to belong to a discrete analogue of the exponential family - the class of the power series offspring distributions. Consistency and asymptotic normality of the estimators are obtained for all values of the offspring mean m, 0

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