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Physical Sciences and Mathematics Commons

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Theses/Dissertations

Statistics and Probability

2007

Chapman interval

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Full-Text Articles in Physical Sciences and Mathematics

Confidence Intervals For Population Size In A Capture-Recapture Problem., Xiao Zhang Aug 2007

Confidence Intervals For Population Size In A Capture-Recapture Problem., Xiao Zhang

Electronic Theses and Dissertations

In a single capture-recapture problem, two new Wilson methods for interval estimation of population size are derived. Classical Chapman interval, Wilson and Wilson-cc intervals are examined and compared in terms of their expected interval width and exact coverage properties in two models. The new approach performs better than the Chapman in each model. Bayesian analysis also gives a different way to estimate population size.