Non-parametric Estimation of the Offspring Covariance Matrix in a Bisexual Branching Process with Immigration of Females and Males
摘要
This paper deals with the non-parametric estimation of the offspring covariance matrix in a bisexual branching process with immigration of the females and males. The method of conditional moments is employed to derive the estimators. The derived estimators are shown to be consistent and asymptotically normal using the martingale limit theory. We illustrate the performance of the proposed estimators with a simulated processes.