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Activity Number: 479 - Applied Bayesian Nonparametric Modeling
Type: Contributed
Date/Time: Thursday, August 6, 2020 : 10:00 AM to 2:00 PM
Sponsor: Section on Bayesian Statistical Science
Abstract #313736
Title: Nonparametric Bayesian Population Size Estimation with Missing Entries
Author(s): Dongah Kim* and Krista Gile
Companies: University of Massachusetts, Amherst and University of Massachusetts, Amherst
Keywords: Nonparametric; Bayesian; Capture-Recapture; missing values; mixture model
Abstract:

We propose a Bayesian nonparametric method for estimating closed population size based on multiple lists with missing entries. Based on the Bayesian population size estimation developed by \cite{Manrique2016}, we extended this approach when the missing entries exist. This approach, based on Dirichlet process mixture models, can capture the complex dependencies without assuming a specific number of latent classes. We deal with missing entries by using data-augmentation, jointly fitting Bayesian Capture-Recapture models and modeling the missing data process. We apply this new method in a simulation study with several scenarios and to data on casualties in the Syrian civil war.


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