Document Zbl 0867.62038

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Transformations of the empirical measure and Kolmogorov-Smirnov tests. (English) Zbl 0867.62038

Ann. Stat. 24, No. 5, 2020-2035 (1996).

Summary: The power of Kolmogorov-Smirnov tests can be increased by transforming the empirical process into a new process that converges to a Wiener process under the null hypothesis and by choosing the transformation in such a way that some families of local alternatives become as noticeable as possible.

Cited in 5 Documents

MSC:

62G10	Nonparametric hypothesis testing
62G20	Asymptotic properties of nonparametric inference
62G30	Order statistics; empirical distribution functions
60G15	Gaussian processes

Keywords:

goodness-of-fit; power improvement; empirical process transformations; Kolmogorov-Smirnov tests; Wiener process; local alternatives

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