Transformed Logit Confidence Intervals for Small Populations in Single Capture–Recapture Estimation

@article{Sadinle2009TransformedLC,
  title={Transformed Logit Confidence Intervals for Small Populations in Single Capture–Recapture Estimation},
  author={Mauricio Sadinle},
  journal={Communications in Statistics - Simulation and Computation},
  year={2009},
  volume={38},
  pages={1909 - 1924}
}
  • Mauricio Sadinle
  • Published 1 October 2009
  • Mathematics
  • Communications in Statistics - Simulation and Computation
The good performance of logit confidence intervals for the odds ratio with small samples is well known. This is true unless the actual odds ratio is very large. In single capture–recapture estimation the odds ratio is equal to 1 because of the assumption of independence of the samples. Consequently, a transformation of the logit confidence intervals for the odds ratio is proposed in order to estimate the size of a closed population under single capture–recapture estimation. It is found that the… 

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