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The main purpose of this paper is to take a close look at the main methods of estimation the population size. In particular, the main concentration is on Capture-Recapture technique (direct sampling and the inverse (indirect) sampling), highlighting some of the hidden properties of these techniques, that are rarely mentioned in classroom and can be of interest to statistics teachers. Another Capture-Recapture estimator is introduced. The content of the paper may add significant contribution to educational statistics.
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