On the estimation of population size from a post-stratified two-sample capture–recapture data under dependence. Issue 5 (23rd March 2020)

• Record Type: Journal Article
• Authors: Chatterjee, Kiranmoy; Bhuyan, Prajamitra
• Is Part Of: Journal of statistical computation and simulation. Volume 90:Issue 5(2020)
• Page Start: 819
• Page End: 838
• Publication Date: 2020-03-23
• Subjects: Behavioural dependency -- bivariate Bernoulli -- disease surveillance -- method of moments -- maximum likelihood -- post-stratification; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2019.1707832
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: Population size estimation based on a two-sample capture–recapture type experiment is an interesting problem in various fields including epidemiology, public health, population studies, etc. The Lincoln–Petersen estimate is popularly used under the assumption that the capture and recapture statuses of each individual is independent. However, in many real-life scenarios, there is an inherent dependency between capture and recapture attempts which is not well studied in the literature of the dual system or two-sample capture–recapture method. In this article, we propose a novel model that successfully incorporates the possible causal dependency and provide corresponding estimation methodologies for the associated model parameters based on post-stratified two-sample capture–recapture data. The superiority of the performance of the proposed model over the existing competitors is established through an extensive simulation study. The method is illustrated through analyses of some real data sets.