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The Abbé independence test with deviations from normality

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

Abstract

Distributions are examined for the Abbé test statistics for various probability laws. It is shown that the statistic distributions are stable when the normality assumptions are violated. The power of the criterion with respect to various alternatives is examined.

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References

  1. L. N. Bol’shev and N. V. Smirnov, Tables for Mathematical Statistics [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  2. J. Neumann, AMS, 12, 367 (1941).

    Google Scholar 

  3. S. A. Aivazyan and V. S. Mkhitaryan, Applied Statistics and the Principles of Econometrics: A College Textbook [in Russian], YuNITI, Moscow (1998).

    Google Scholar 

  4. V. I. Strunov, Izmer. Tekh., No. 8, 13 (2006).

  5. B. Yu. Lemeshko and S. S. Pomadin, Metrology: An Appendix to the Journal Izmer. Tekh. [in Russian], No. 3, 3 (2004).

  6. R 50.1.033-2001: Recommendations on Standardization. Applied Statistics. Rules for Checking Conformity of an Experimental Distribution with a Theoretical One. Part I. Tests of χ 2 _Type [in Russian], Izd. Standartov, Moscow (2002).

  7. R 50.1.037-2002: Recommendations on Standardization. Applied Statistics. Rules for Checking Conformity of an Experimental Distribution with a Theoretical One. Part II. Nonparametric Tests [in Russian], Izd. Standartov, Moscow (2002).

  8. B. Yu. Lemeshko and S. B. Lemeshko, Izmer. Tekh., No. 12, 9 (2005).

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Translated from Izmeritel’naya Tekhnika, No. 10, pp. 9–14, October, 2006.

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Lemeshko, S.B. The Abbé independence test with deviations from normality. Meas Tech 49, 962–969 (2006). https://doi.org/10.1007/s11018-006-0220-7

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  • DOI: https://doi.org/10.1007/s11018-006-0220-7

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