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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v42.i10.30
pages 26-31

Nonparametric Criterion of Equivalence of General Populations Based on Averaged Measure of Closeness Between Samplings

Ekaterina N. Golubeva
Taras Shevchenko National University of Kyiv
Dmitriy A. Klyushin
Kiev National Taras Shevchenko University, Kiev
Yuriy I. Petunin
Kiev National Taras Shevchenko University


We propose averaged measure of closeness between samples and prove the theorem that asymptotic level of significance of its confidence interval does not exceed 0.05. On the basis of the suggested measure of closeness nonparametric criterion of equivalence of general populations was constructed.


  1. Klyushin D.A., Petunin Yu.I., Nonparametric equivalence criterion for general assemblages based on measure of closeness between samples.

  2. Hill B.M., Posterior distribution of percentiles: Bayes’ theorem for sampling from a population.

  3. Madreimov I., Petunin Yu.I., Characterization of uniform distribution by means of order statistics.

  4. Andrushkiw R.I., Klyushin D.A., Petunin Yu.I., Lysyuk V.N., Construction of the bulk of general population in the case of exchangeable sample values.

  5. Van der Waerden B.L., Mathematical statistics.

  6. Matveichuk S.A., Petunin Yu.I., The generalized Bernoulli schemes appearing in variational statistics, I.

  7. Matveichuk S.A., Petunin Yu.I., The generalized Bernoulli schemes appearing in variational statistics, II.

  8. Johnson N., Kotz S., Some generalizations of Bernoulli and Polya–Eggenberger contagion models.

  9. Petunin Yu.I., Semeiko N.G., Random point-wise processes with independent marking.

  10. Feller V., Introduction to theory of probability and its applications, Vol. 2.

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