A goodness-of-fit test based on a recursive product of spacings [CL]

http://arxiv.org/abs/2111.02252


We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test can outperform existing ones, such as the well known Kolmogorov-Smirnov or Anderson-Darling tests, in particular when the number of samples is small and differences occur over a small quantile of the null hypothesis distribution. A detailed description of the test statistic is provided including an illustration and examples, together with a parameterization of its distribution based on simulation.

Read this paper on arXiv…

P. Eller and L. Shtembari
Thu, 4 Nov 21
22/73

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