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Math Help - German Tank Problem

  1. #1
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    German Tank Problem

    Hi, I was reading the article on Wikipedia regarding the German Tank Problem.

    German tank problem - Wikipedia, the free encyclopedia

    Under the section of "Frequentist analysis", sub-section "Derivation", it states that the probability that the sample maximum equals m is:

    P(M=m | N=n,K=k) = \frac { \binom {m-1}{k-1}}{ \binom {n}{k}}

    where m is the sample maximum, n is the size of the population, k is number of observed samples.

    I just don't quite understand how this formula comes to being...

    Thanks~!!!
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  2. #2
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    Re: German Tank Problem

    Hey tttcomrader.

    You might want to look at the definition of estimators for estimating the parameter of a discrete uniform distribution:

    https://en.wikipedia.org/wiki/Maximu...m_distribution

    In terms of the distribution of the maximum, you should look at the order statistics:

    Order statistic - Wikipedia, the free encyclopedia
    Thanks from tttcomrader
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