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arXiv · 1207.7308

Weighted Kolmogorov-Smirnov test: Accounting for the tails

Rémy Chicheportiche·Jean-Philippe Bouchaud
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Abstract

Accurate goodness-of-fit tests for the extreme tails of empirical distributions is a very important issue, relevant in many contexts, including geophysics, insurance, and finance. We have derived exact asymptotic results for a generalization of the large-sample Kolmogorov-Smirnov test, well suited to testing these extreme tails. In passing, we have rederived and made more precise the approximate limit solutions found originally in unrelated fields, first in [L. Turban, J. Phys. A 25, 127 (1992)] and later in [P. L. Krapivsky and S. Redner, Am. J. Phys. 64, 546 (1996)].

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Rémy Chicheportiche, Jean-Philippe Bouchaud. 2012-10-10. Weighted Kolmogorov-Smirnov test: Accounting for the tails. https://doi.org/10.1103/physreve.86.041115

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