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Estimating Population Size for a Continuous Time Frailty Model with Covariates in a Capture–Recapture Study
Author(s) -
Xu Ying,
Liu Liping,
You Na,
Pan Hungyu,
Yip Paul
Publication year - 2007
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2007.00773.x
Subject(s) - covariate , mark and recapture , statistics , estimator , population size , population , econometrics , mathematics , random effects model , demography , medicine , meta analysis , sociology
Summary 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.