Measurement Techniques

, Volume 48, Issue 12, pp 1159–1166 | Cite as

Statistical distribution convergence and homogeneity test power for Smirnov and Lehmann—Rosenblatt tests

  • B. Yu. Lemeshko
  • S. B. Lemeshko
General Problems of Metrology and Measurement Technique


The distributions are examined for the statistics for the Smirnov and Lehmann—Rosenblatt homogeneity tests for restricted sample volumes and the convergence of them in the limit. A correction is proposed that provides closeness of the Smirnov statistic distribution to the limiting Kolmogorov one. The power of the tests is compared in relation to various alternatives.

Key words

Smirnov Lehmann—Rosenblatt homogeneity tests test power 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • B. Yu. Lemeshko
  • S. B. Lemeshko

There are no affiliations available

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