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Article

Kolmogorov tests of normality based on some variants of Polya's characterization

Journal of Mathematical Sciences. 2016. Vol. 219. No. 5. P. 782-788.
V.V. Litvinova, Ya. Yu. Nikitin.

Some new U-empirical tests for normality of Kolmogorov type based on the famous Polya's characterization are build and explored. Their local asymptotic efficiency in Bahadur sense is calculated.