Interval Spacing
Methodology
2026-01-30 v1
Abstract
We define interval spacing as the difference in the order statistics of data over a gap of some width. We derive its density, expected value, and variance for uniform, exponential, and logistic variates. We show that interval spacing is equivalent to running a rectangular low-pass filter over the spacing, which simplifies the expressions for the expected values and introduces correlations between overlapping intervals.
Cite
@article{arxiv.2601.22116,
title = {Interval Spacing},
author = {Greg Kreider},
journal= {arXiv preprint arXiv:2601.22116},
year = {2026}
}
Comments
19 pages, 5 figures