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Statistical inference procedure for a hypergeometric model for capture- recapture experiments. (English) Zbl 0779.62103
Summary: We use martingale theory and a method-of-moments technique to derive a class of estimators for a multihypergeometric model for a capture- recapture experiment. Certain choices of weight functions lead to some standard estimators. Explicit expressions for the estimators and their associated standard errors of the parameter, population size, are obtained. An optimal estimator among the class of estimators is derived which gives the tightest confidence interval for the population size; three examples are given. A simulation study is given to assess the performance of the proposed estimators with other existing ones.

MSC:
62P10Applications of statistics to biology and medical sciences
60G42Martingales with discrete parameter
62D05Statistical sampling theory, sample surveys
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References:
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