The Results Of Extreme Value Theory On The P-max

In this thesis, the extreme value theory of p-max style is studied. Similar to the famous Von-Mise condition on the extreme value theory of 1-max style, the judge condition that absolutely continuous distribution function is in the domain of attraction of p-max style distribution function is given. At the same time, the error inequality between samples and true values is obtained, and almost sure convergence theorems on the extreme value theory of p-max style are also given.Furthermore , the equivalent judge condition between almost sure convergence and convergence in distribution of the extreme value distribution of 1-max style is, in this thesis, given in the case of independedt nonidentical distribution.