A Non‐Parametric Estimation Method of the Population Size in Capture‐Recapture Experiments With Right Censored Data

Anabel Blasco‐Moreno and Pedro Puig

Environmetrics, 2025, vol. 36, issue 3

Abstract: We present a new non‐parametric approach for estimating the total number of animals or species when we only have information on the number of animals or species that have been observed once, twice, …$$ \dots $$, and the number of animals or species that have been observed r$$ r $$ and more than r$$ r $$ times. The approach, like the Chao estimator, gives a lower bound on population size while also providing bootstrap confidence intervals. We conducted simulations to compare our estimator to other competing ones in special scenarios with r=2$$ r=2 $$ and 3 and found that it performed quite well. In the case of uncensored samples, we analyze which censoring point is preferable in specific examples, as well as when censoring at r=3$$ r=3 $$ is superior to censoring at r=2$$ r=2 $$.

Date: 2025
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