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Parametric regression models for continuous time removal and recapture studies

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We use a class of parametric counting process regression models that are commonly employed in the analysis of failure time data to formulate the subject-specific capture probabilities for removal and recapture studies conducted in continuous time. We estimate the regression parameters by modifying the conventional likelihood score function for left-truncated and right-censored data to accommodate an unknown population size and missing covariates on uncaptured subjects, and we subsequently estimate the population size by a martingale-based estimating function. The resultant estimators for the regression parameters and population size are consistent and asymptotically normal under appropriate regularity conditions. We assess the small sample properties of the proposed estimators through Monte Carlo simulation and we present an application to a bird banding exercise.
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Keywords: Animal abundance; Capture–recapture experiment; Counting process; Heterogeneous capturability; Martingale; Population size estimation; Reliability testing

Document Type: Original Article

Affiliations: 1: University of Washington, Seattle, USA, 2: University of Hong Kong, Hong Kong

Publication date: 01 April 1999

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