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Population Size Estimation Using Individual Level Mixture Models

✍ Scribed by Daniel Manrique-Vallier; Stephen E. Fienberg

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 120 KB
Volume: 50
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.200810448

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✦ Synopsis

Abstract

We revisit the heterogeneous closed population multiple recapture problem, modeling individual‐level heterogeneity using the Grade of Membership model (Woodbury et al., 1978). This strategy allows us to postulate the existence of homogeneous latent “ideal” or “pure” classes within the population, and construct a soft clustering of the individuals, where each one is allowed partial or mixed membership in all of these classes. We propose a full hierarchical Bayes specification and a MCMC algorithm to obtain samples from the posterior distribution. We apply the method to simulated data and to three real life examples. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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