Kernel Pattern Recognition Algorithm in the Task of Testing the Hypothesis of Distribution of Multidimensional Random Quantities

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Multi-Conference on Industrial Engineering and Modern Technologies, FarEastCon 2020

Год издания: 2020

Идентификатор DOI: 10.1109/FarEastCon50210.2020.9271358

Ключевые слова: kernel probability density estimation, multivariate random quantities, nonparametric pattern recognition algorithm, pearson's chi-squared test, random value range sampling, statistical hypothesis validation

Аннотация: New method of testing hypotheses on distribution of multi-dimensional statistical data of large volume is considered. The possibility of replacing the hypothesis test on the identity of two laws of multivariate random values distribution with the hypothesis test on the equality of pattern recognition error with value 0,5 is proved. To test this hypothesis, the technique of trustworthy assessment of pattern recognition error probability or Kolmogorov-Smirnov test is used. Training sample is generated by statistical data of the compared distribution laws. Under conditions of large volumes of statistical data synthesis of nonparametric algorithm of pattern recognition is carried out on the basis of regression estimates of probability densities of random values distribution in classes. Proposed algorithms of pattern recognition allow reducing the amount of training sample due to decomposition of the range of random quantities values. Method of selection of decomposition optimal parameters of independent random values range is considered. The closest analogue of the proposed approach is the Pearson's chi-squared test. © 2020 IEEE.

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Издание

Журнал: 2020 International Multi-Conference on Industrial Engineering and Modern Technologies, FarEastCon 2020

Номера страниц: 9271358

Издатель: Institute of Electrical and Electronics Engineers Inc.

Персоны

Lapko A.V. (Institute of Computational Modeling Sb Ras, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russian Federation)
Lapko V.A. (Institute of Computational Modeling Sb Ras, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russian Federation)
Yuronen E.A. (Reshetnev Siberian State University of Science and Technology, Siberian Federal University, Krasnoyarsk, Russian Federation)

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