In the statistical theory of estimation, estimating the maximum of a uniform distribution is a common illustration of differences between estimation methods. In the English-speaking world, it is known as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.
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- In the statistical theory of estimation, estimating the maximum of a uniform distribution is a common illustration of differences between estimation methods. In the English-speaking world, it is known as the German tank problem, due to its application in World War II to the estimation of the number of German tanks. Estimating the population maximum based on a single sample raises philosophical points about evaluation of estimators and likelihood and yields divergent results, depending on approach, while the estimation based on multiple samples is used in elementary statistics education as an instructive practical estimation question whose answer is simple but not obvious. The problem is usually framed for a discrete distribution, but virtually identical analysis holds for a continuous distribution.
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- In the statistical theory of estimation, estimating the maximum of a uniform distribution is a common illustration of differences between estimation methods. In the English-speaking world, it is known as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.
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