English

Sharp probability estimates for generalized Smirnov statistics

Probability 2008-05-02 v5 Statistics Theory Statistics Theory

Abstract

We give sharp, uniform estimates for the probability that the empirical distribution function for n uniform-[0,1] random variables stays to one side of a given line.

Keywords

Cite

@article{arxiv.math/0609224,
  title  = {Sharp probability estimates for generalized Smirnov statistics},
  author = {Kevin Ford},
  journal= {arXiv preprint arXiv:math/0609224},
  year   = {2008}
}

Comments

v4. 11 pages. Very tiny corrections. Fixed equation numbering