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arXiv · 2508.18965

Asymptotic properties of goodness of fit tests based on higher order overlapping spacings

Sherzod M. Mirakhmedov
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Abstract

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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Sherzod M. Mirakhmedov. 2025-08-26. Asymptotic properties of goodness of fit tests based on higher order overlapping spacings. https://arxiv.org/abs/2508.18965

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