Rao-Blackwellization to give Improved Estimates in Multi-List Studies

2017/09/26 by Kyle Vincent, Vincent, Kyle
Mathematics · Medicine · #Advanced Statistical Methods and Models #Census and Population Estimation #Data-Driven Disease Surveillance #stat.ME

paper · pdf · doi:10.48550/arxiv.1709.09138

arxiv created 2020/01/29 · arxiv updated 2020/01/30

Abstract

Sufficient statistics are derived for the population size and parameters of commonly used closed population mark-recapture models. Rao-Blackwellization details for improving estimators that are not functions of the statistics are presented. As Rao-Blackwellization entails enumerating all sample reorderings consistent with the sufficient statistic, Markov chain Monte Carlo resampling procedures are provided to approximate the computationally intensive estimators. Simulation studies demonstrate that significant improvements can be made with the strategy. Supplementary materials for this article are available online.

Citations

• Estimating the Population Size for Capture-Recapture Data with Unequal Catchability
• Monte Carlo sampling methods using Markov chains and their applications

Cited by

• A New Approach to Inference in Multi-Survey Studies with Unknown Population Size

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