A method of inference for a capture-recapture experiment in discrete time with variable capture probabilities
- 1 January 1991
- journal article
- research article
- Published by Informa UK Limited in Communications in Statistics. Stochastic Models
- Vol. 7 (3), 343-362
- https://doi.org/10.1080/15326349108807195
Abstract
The problem of heterogeneity of capture probabilities among the individuals of a population is a major outstanding problem in the estimation of population size. The ’jackknife‘ estimator developed by Burnham & Overton (1978) and the estimator of Chao (1989) are the available estimation procedures at present. Here, we provide alternative estimators for population size via martingale theory. A class of estimators is generated by a martingale estimating equation. Explicit expressions for the estimators and the associated standard errors are obtained which involve only simple computation. Two examples are given.Keywords
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