
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", subsection "Derivation", it states that the probability that the sample maximum equals m is:
$\displaystyle P(M=m  N=n,K=k) = \frac { \binom {m1}{k1}}{ \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~!!!

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