Estimating population size for a continuous time frailty model with covariates in a capture-recapture study |
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Authors: | Xu Ying Liu Liping You Na Pan Hungyu Yip Paul |
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Affiliation: | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China. |
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Abstract: | A continuous time frailty capture-recapture model is proposed for estimating population size of a closed population with the use of observed covariates to explain individuals' heterogeneity in presence of a random effect. A conditional likelihood approach is used to derive the estimate of parameters, and the Horvitz-Thompson estimator is adopted to estimate the unknown population size. Asymptotic normality of the estimates is obtained. Simulation results and a real example show that the proposed method works satisfactorily. |
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Keywords: | Conditional likelihood Counting process Covariate Frailty Intensity function |
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