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Statistical Methods
Abstract:
Spacings between ordered data are used to develop unbinned non-parametric Goodness of Fit (GoF) tests to detect unknown signals against known backgrounds or set limits on proposed signals contaminated by unknown backgrounds. I also extend GoF tests to multivariate samples, using a multivariate probability integral transformation, carried out either analytically or numerically using a Normalizing Flow, ultimately reducing the problem to a single or multiple univariate uniformity tests.
