Home > Mathematics, Statistics > Vol 11 No 1 June 2023 Abstract 3
Estimate the Size of a Closed Population with Varying Heterogeneity Patterns
Lihua Chen, Kara Athey, Nat Remmers

Abstract
Capture-recapture approach is commonly used to estimate the size of a closed population. If the complete capture history of each individual is known, the data can be represented by a contingency table and loglinear models can be used to estimate the number of unobserved individuals. When there is variable probability of capture among individuals, a quasi-symmetry loglinear model can be used to address heterogeneity among individuals. This model assumes the heterogeneity pattern does not change across the samples. In this paper we explore the use of a more flexible partial quasi-symmetry loglinear model to account for varying heterogeneity patterns across the samples. We characterize the structure of the model and demonstrate its value and scope with a simulation study and two real-world data examples.

Full Text: PDF     DOI: 10.15640/arms.v11n1a3