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... The only difficulty here is that the constant t/2, appearing on the right-hand side not only depends on , but also on the value of n, through . As a result, we cannot solve for n as cleanly as was possible in the large sample case where the probability factor, z/2, did not depend on n. The reco ...
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German tank problem



In the statistical theory of estimation, the problem of estimating the maximum of a discrete uniform distribution from sampling without replacement is known in English as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.The analyses illustrate the difference between frequentist inference and Bayesian inference.Estimating the population maximum based on a single sample yields divergent results, while the estimation based on multiple samples is an instructive practical estimation question whose answer is simple but not obvious.
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