Heidelberg 2022 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 107: Data Analysis, Information Technology and Artificial Intelligence 5

T 107.1: Vortrag

Donnerstag, 24. März 2022, 16:15–16:30, T-H39

Introducing novel order statistic tests based on spacings and their applications — •Lolian Shtembari — Max Planck Institute for Physics, Munich, Germany

The use of spacings between ordered real-valued numbers is very useful in many areas of science. In particular, either unnaturally small or large spacings can be a signal of an interesting effect. We introduce new statistical tests based on the observed spacings of ordered data. These statistics are sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, these 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 statistics is provided including examples and proposed applications for the analysis of neutrino experiments.