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Multiscale inference about a density
Lutz Duembgen, Günther Walther · 2007-06-27 · via math.ST updates on arXiv.org

We introduce a multiscale test statistic based on local order statistics and spacings that provides simultaneous confidence statements for the existence and location of local increases and decreases of a density or a failure rate. The procedure provides guaranteed finite-sample significance levels, is easy to implement and possesses certain asymptotic optimality and adaptivity properties.