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تسجيل مستخدم جديدA Contribution to the Theory Behind the Capture-Recapture M0 Model: An Improved Estimator
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Kyle Vincent
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We explore the use of a sufficient statistic based on the data of 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. Though the improvements made on the preliminary capture-recapture estimates are likely to be negligible, this body of work is primarily intended to contribute to the theory around the capture-recapture models. The code for a simulation is provided in the appendix.
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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 estim
ator 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.
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