On the weak limit law of the maximal uniform k-spacing
Probability
2015-08-06 v1
Abstract
This paper gives a simple proof of a limit theorem for the lenght of the largest interval straddling a fixed number of i.i.d. points uniformly disributed on a unit interval. The key step in our argument is a classical theorem of Watson (1954) on the maxima of m-dependent stationary stochastic sequences.
Keywords
Cite
@article{arxiv.1508.00944,
title = {On the weak limit law of the maximal uniform k-spacing},
author = {Aleksandar Mijatović and Vladislav Vysotsky},
journal= {arXiv preprint arXiv:1508.00944},
year = {2015}
}