Moment Estimation In The Class Of Bisexual Branching Processes With Population-Size Dependent Mating

Moment Estimation In The Class Of Bisexual Branching Processes With Population-Size Dependent Mating

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Article ID: iaor201113248
Volume: 49
Issue: 1
Start Page Number: 37
End Page Number: 50
Publication Date: Mar 2007
Journal: Australian & New Zealand Journal of Statistics
Authors: , ,
Keywords: statistics: distributions, heuristics: genetic algorithms
Abstract:

This paper concerns the estimation of the offspring mean vector, the covariance matrix and the growth rate in the class of bisexual branching processes with population-size dependent mating. For the proposed estimators, some unconditional moments and some conditioned to non-extinction are determined and asymptotic properties are established. Confidence intervals are obtained and, as illustration, a simulation example is given.

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