A Model for Estimating the Population Size of Disproportionate Two Sample Capture Recapture Methods

Abstract

The size of a population N in a dynamic setting can be estimated using closed population capture-recapture techniques. This entails drawing a sample from a sampling frame denoted by n1., mark and return into the population. Thereafter, another sample is drawn independ-ently and denoted by n.1 items or individuals selected in both samples are recorded and denoted by n11. The sizes of samples drawn are not necessarily at bay. Supplementary Immunization Activities (SIAs) are vaccination campaigns conducted at National and Subnational scale to boost immunity against Vaccine Preventable Diseases (VPD) such as polio and Lot Quality Assurance Survey (LQAS) was introduced to assess the coverage of the immunization activities with the view to get quick idea of what the coverage is so as to decide whether to accept or reject the lot(s) on the basis of a predetermine number of acceptable defects (unvaccinated). Since the size of the first sample is inordinately different to the second sample in LQAS, a disproportionate capture-recapture (C-R) model was developed to address the disparity, estimate SIAs coverage and enhance precision of estimate classification.