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We study a continuous-time removal model for estimating the population size for a population in which a sub-population size
ratio is known. The maximum likelihood estimate and the optimal martingale estimate of the population size are obtained; these
are shown to be equivalent. A comparison between the proposed estimator and the maximum likelihood estimate which ignores
the information on the known size ratio is made, using a simulation study. The asymptotic variances of these two estimators
are also obtained, and a comparison between them is made. The sensitivity of mis-specification of the known size ratio is
examined. We also apply the corresponding discrete-time model to the proposed continuous-time setting, and study the efficiency
of the corresponding discrete-time type estimator relative to the proposed estimator. 相似文献
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