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arXiv · 2408.10612

Extension of the one-sample Kolmogorov-Smirnov test

Atsushi Komaba·Hisashi Johno·Kazunori Nakamoto
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Abstract

We propose here a new goodness-of-fit test, named the one-sample OVL-q test (q = 1, 2, . . .), which can be considered an extension of the one-sample Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have analyzed the asymptotic properties of the one-sample OVL-2 test statistic and enabled the calculation of asymptotic p-values for the test statistic. We further conducted numerical experiments and demonstrated that the one-sample OVL-2 test can sometimes exceed the detection power of conventional goodness-of-fit tests.

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Atsushi Komaba, Hisashi Johno, Kazunori Nakamoto. 2024-08-20. Extension of the one-sample Kolmogorov-Smirnov test. https://arxiv.org/abs/2408.10612

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