English

Order statistics on the spacings between order statistics for the uniform distribution

Statistics Theory 2019-09-17 v1 Statistics Theory

Abstract

Closed-form expressions for the distributions of the order statistics on the spacings between order statistics for the uniform distribution are obtained. This generalizes a result by Fisher concerning tests of significance in the harmonic analysis of a series.

Keywords

Cite

@article{arxiv.1909.06406,
  title  = {Order statistics on the spacings between order statistics for the uniform distribution},
  author = {Iosif Pinelis},
  journal= {arXiv preprint arXiv:1909.06406},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-23T11:14:55.402Z