Large deviations of U-empirical Kolmogorov–Smirnov tests and their efficiency

By Yakov Yu. Nikitin. 2009

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Non-degenerate U-empirical Kolmogorov–Smirnov tests are studied and their large deviation asymptotics under the null-hypothesis is described. Several examples of such statistics used for testing goodness-of-fit and symmetry are considered. It is shown how to calculate their local Bahadur efficiency.

Subfields: Artificial Intelligence, Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fc10f0fa870e11ee69e41c7e2093a312dd52f53d

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