Journal of Mathematical Sciences

, Volume 219, Issue 5, pp 782–788 | Cite as

Kolmogorov Tests of Normality Based on Some Variants of Polya’s Characterization


Two variants of Kolmogorov-type U-empirical tests of normality are studied. They are based on variants of famous Polya’s characterization of the normal law. We calculate their local Bahadur efficiency against location, skew, and Lehmann alternatives and conclude that integral tests are usually more efficient.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.St. Petersburg State University of Communication, National Research University Higher School of EconomicsSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

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