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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.22116 |
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| _version_ | 1866908798628659200 |
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| author | Kreider, Greg |
| author_facet | Kreider, Greg |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22116 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interval Spacing Kreider, Greg Methodology 62G30 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. |
| title | Interval Spacing |
| topic | Methodology 62G30 |
| url | https://arxiv.org/abs/2601.22116 |