On the continuation of the limit distributions of the extreme and central terms of a sample

@article{Barakat1997OnTC,
  title={On the continuation of the limit distributions of the extreme and central terms of a sample},
  author={H. M. Barakat},
  journal={Test},
  year={1997},
  volume={6},
  pages={351-368}
}
We consider the situation where the distribution functions (d.f.'s) of the suitably normalized extreme and central order statistics on an interval [c,d] converge to arbitrary nondecreasing functions. The continuation of these convergences (weak) on the whole real line to the extreme and central value distributions is then proved under general conditions.