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:
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...
Re: German Tank Problem
You might want to look at the definition of estimators for estimating the parameter of a discrete uniform distribution:
In terms of the distribution of the maximum, you should look at the order statistics:
Order statistic - Wikipedia, the free encyclopedia