Moment Estimation in the Class of Bisexual Branching Processes With Population–size Dependent Mating

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.