On the estimation of homogeneous population size from a complex dual-record system. Issue 17 (21st November 2016)

• Record Type: Journal Article
• Authors: Chatterjee, Kiranmoy; Mukherjee, Diganta
• Is Part Of: Journal of statistical computation and simulation. Volume 86:Issue 17(2016)
• Page Start: 3562
• Page End: 3581
• Publication Date: 2016-11-21
• Subjects: Directional knowledge on φ -- empirical Bayes -- Gibbs sampler -- human population -- missingdata -- Mtb-DRS model -- stochastic EM; 62F15 -- 62F30 -- 62P99; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2016.1173695
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: A dual-record system (DRS) (equivalently two sample capture–recapture experiments) model, with time and behavioural response variation, has attracted much attention specifically in the domain of official statistics and epidemiology, as the assumption of list independence often fails. The relevant model suffers from parameter identifiability problem, and suitable Bayesian methodologies could be helpful. In this article, we formulate population size estimation in DRS as a missing data problem and two empirical Bayes approaches are proposed along with the discussion of an existing Bayes treatment. Some features and associated posterior convergence for these methods are mentioned. Investigation through an extensive simulation study finds that our proposed approaches compare favourably with the existing Bayes approach for this complex model depending upon the availability of directional nature of underlying behavioural response effect. A real-data example is given to illustrate these methods.