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Confidence Intervals I. What are confidence intervals?
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... terminal. These packs must be replaced occasionally. Let X denote the life span in years of such a battery. Assume that X is exponentially distributed with unknown parameter β. Find the maximum likelihood estimate for β based on the given data (available on the web). 35. To esimate the proportion of ...
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... We interpret a confidence interval as follows. A confidence interval with confidence level (1 )100% is an interval obtained from sample data by a method such that, (1 - )100% of all intervals obtained by this method would, in fact, contain the true value of the parameter, and 100% of all interva ...
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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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