German Tank Problem

http://en.wikipedia.org/wiki/German_tank_problem

How to estimate # of products from observed serial numbers. Let k be the number of samples and m be the maximum serial number. Then, \hat{N} = m + m/k - 1. Because m underestimates N, we compensate it by adding the number of missing samples between adjacent observed samples. Also, -1 because we don’t count sample itself when considering missing samples.

Given that, here’s a story on estimating the # of XBox: Xbox Serial Number Statistics

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