A Contribution to the Theory Behind the M0 Capture-Recapture Model: An Improved Estimator

We explore the use of a sufficient statistic based on the identified members that are obtained for samples that are selected under the $M_0$ capture-recapture closed population model (Schwarz and Seber, 1999). A Rao-Blackwellized version of the estimator based on a sufficient statistic is then presented. We explore the efficiency of the improved estimator via a simulation study. The R code for the simulation is provided in the appendix.