  Population size estimation based on two sample capture-recapture type
experiment is an interesting problem in various fields including epidemiology,
pubic health, population studies, etc. The Lincoln-Petersen estimate is
popularly used under the assumption that capture and recapture status 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 analysis of some real data sets.
