Estimating population size for a continuous time frailty model with covariates in a capture-recapture study.
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.
Xu
Ying
Y
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China.
Liu
Liping
L
You
Na
N
Pan
Hungyu
H
Yip
Paul
P
D000465:Algorithms; D001699:Biometry / Q000379:methods*; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D003710:Demography; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D011156:Population Density; D011157:Population Dynamics; D018401:Sample Size; D016008:Statistical Distributions