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Asymptotic properties of goodness of fit tests based on higher order overlapping spacings
Published: August 26, 2025 |
arXiv ID: 2508.18965v1
By: Sherzod M. Mirakhmedov
Potential Business Impact:
Finds if data is spread out evenly.
Business Areas:
A/B Testing
Data and Analytics
The paper is devoted to tests for uniformity based on sum-functions of overlapping spacings, where the order of spacings can diverge to infinity as the sample size increases. In particular, it is shown that the asymptotic local power of these tests depends significantly on the asymptotic properties of the counterpart statistics based on disjoint spacings.
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Page Count
10 pages
Category
Mathematics:
Statistics Theory