Abstract
The estimation problem of a fish growth curve by a tag-recapture experiment with both of the measurement and the process errors is considered. In this model, the true values of lengths of fishes at release are unknown nuisance parameters, and the number of the nuisance parameters goes to infinity as the sample size increases. In such a model, the maximum likelihood method has the potential drawback of inconsistency. In this paper, the conditional score method is applied to eliminate the nuisance parameters. An objective function corresponding to the conditional score method is given. The properties and performance of this method are evaluated through asymptotic efficiency and simulation.
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