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How to Convince a Student that an Estimator is a Random Variable
This classroom example illustrates the concept that estimators are random variables. The example makes use of the classic problem of estimating the size of a population by observing serial numbers, specifically estimating the number of taxis in a city. In this article from the Journal "Teaching Statistics," The author explains how to encourage a discussion among students about the best estimator for a population size. The author then uses a simulation to determine which of a group of candidate estimates should be used.
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