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

  • General Problems of Metrology and Measurement Technique
  • Published:
Measurement Techniques Aims and scope

An Erratum to this article was published on 01 July 2006

Abstract

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.

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Translated from Izmeritel’naya Tekhnika, No. 12, pp. 9–14, December, 2005.

An erratum to this article is available at http://dx.doi.org/10.1007/s11018-006-0181-x.

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Lemeshko, B.Y., Lemeshko, S.B. Statistical distribution convergence and homogeneity test power for Smirnov and Lehmann—Rosenblatt tests. Meas Tech 48, 1159–1166 (2005). https://doi.org/10.1007/s11018-006-0038-3

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  • DOI: https://doi.org/10.1007/s11018-006-0038-3

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