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Avtomatika i Telemekhanika, 2020, Issue 2, Pages 157–172
DOI: https://doi.org/10.31857/S0005231020020105 (Mi at15451) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Intellectual Control Systems, Data Analysis

On confidence estimation based on quantitative similarity coefficients

I. V. Rodionovab, A. N. Sozontovc

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
c Institute of Plant and Animal Ecology, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
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DOI: https://doi.org/10.31857/S0005231020020105
Abstract: We consider the problem of estimating the accuracy of quantitative similarity coefficients. For this purpose, we introduce a new concept of the similarity measure for the corresponding coefficient. We show that only frequency forms of quantitative similarity coefficients represent consistent estimates of their similarity measures. We obtain asymptotic confidence intervals for the Ružička and Bray–Curtis similarity measures based on the coefficients with the same names. We also propose a test for homogeneity of two populations based on the above-mentioned coefficients.
Keywords: similarity coefficient, confidence estimation, test for homogeneity, Bray–Curtis index, Jaccard index.
Funding agency Grant number
Russian Science Foundation 19-11-00290
The work of I.V. Rodionov in Sections 1 and 2 was supported by the Russian Science Foundation, project no. 19-11-00290 provided by the Steklov Mathematical Institute of the RAS.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 16.04.2019
Revised: 07.07.2019
Accepted: 18.07.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 2, Pages 320–332
DOI: https://doi.org/10.1134/S0005117920020101
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Rodionov, A. N. Sozontov, “On confidence estimation based on quantitative similarity coefficients”, Avtomat. i Telemekh., 2020, no. 2, 157–172; Autom. Remote Control, 81:2 (2020), 320–332
Citation in format AMSBIB
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\paper On confidence estimation based on quantitative similarity coefficients
\jour Avtomat. i Telemekh.
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\issue 2
\pages 157--172
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\crossref{https://doi.org/10.31857/S0005231020020105}
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\transl
\jour Autom. Remote Control
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\vol 81
\issue 2
\pages 320--332
\crossref{https://doi.org/10.1134/S0005117920020101}
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  • https://www.mathnet.ru/eng/at/y2020/i2/p157
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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