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New Characterization-Based Symmetry Tests. / Bozin, Vladimir; Milošević, Bojana ; Nikitin, Ya. Yu. ; Obradović, Marko.

In: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 43, No. 1, 01.01.2020, p. 297-320.

Research output: Contribution to journal › Article › peer-review

Harvard

Bozin, V, Milošević, B, Nikitin, YY & Obradović, M 2020, 'New Characterization-Based Symmetry Tests', Bulletin of the Malaysian Mathematical Sciences Society, vol. 43, no. 1, pp. 297-320. https://doi.org/10.1007/s40840-018-0680-3

APA

Bozin, V., Milošević, B., Nikitin, Y. Y., & Obradović, M. (2020). New Characterization-Based Symmetry Tests. Bulletin of the Malaysian Mathematical Sciences Society, 43(1), 297-320. https://doi.org/10.1007/s40840-018-0680-3

Vancouver

Bozin V, Milošević B, Nikitin YY, Obradović M. New Characterization-Based Symmetry Tests. Bulletin of the Malaysian Mathematical Sciences Society. 2020 Jan 1;43(1):297-320. https://doi.org/10.1007/s40840-018-0680-3

Author

Bozin, Vladimir ; Milošević, Bojana ; Nikitin, Ya. Yu. ; Obradović, Marko. / New Characterization-Based Symmetry Tests. In: Bulletin of the Malaysian Mathematical Sciences Society. 2020 ; Vol. 43, No. 1. pp. 297-320.

BibTeX

@article{be687cf371254d9597d3af52e3bf0964,

title = "New Characterization-Based Symmetry Tests",

abstract = "Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family of degenerate U-statistics. Their asymptotic properties are explored. The maximal eigenvalue, needed for the derivation of their logarithmic tail behavior, was calculated or approximated using techniques from the theory of linear operators and the perturbation theory. The quality of the tests is assessed using the approximate Bahadur efficiency as well as the simulated powers. The tests are shown to be comparable with some recent and classical tests of symmetry.",

keywords = "Критерий Колмогорова, симметрия, эффективность, большие уклонения, test of symmetry, limit distribution, asymptotic efficiency, characterization, U-statistic, Characterization, Approximation of maximal eigenvalue, Symmetry tests, Second-order Gaussian chaos process, Asymptotic efficiency, Degenerate U-statistics",

author = "Vladimir Bozin and Bojana Milo{\v s}evi{\'c} and Nikitin, {Ya. Yu.} and Marko Obradovi{\'c}",

note = "Publisher Copyright: {\textcopyright} 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",

year = "2020",

month = jan,

day = "1",

doi = "10.1007/s40840-018-0680-3",

language = "English",

volume = "43",

pages = "297--320",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - New Characterization-Based Symmetry Tests

AU - Bozin, Vladimir

AU - Milošević, Bojana

AU - Nikitin, Ya. Yu.

AU - Obradović, Marko

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family of degenerate U-statistics. Their asymptotic properties are explored. The maximal eigenvalue, needed for the derivation of their logarithmic tail behavior, was calculated or approximated using techniques from the theory of linear operators and the perturbation theory. The quality of the tests is assessed using the approximate Bahadur efficiency as well as the simulated powers. The tests are shown to be comparable with some recent and classical tests of symmetry.

AB - Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family of degenerate U-statistics. Their asymptotic properties are explored. The maximal eigenvalue, needed for the derivation of their logarithmic tail behavior, was calculated or approximated using techniques from the theory of linear operators and the perturbation theory. The quality of the tests is assessed using the approximate Bahadur efficiency as well as the simulated powers. The tests are shown to be comparable with some recent and classical tests of symmetry.

KW - Критерий Колмогорова

KW - симметрия

KW - эффективность

KW - большие уклонения

KW - test of symmetry

KW - limit distribution

KW - asymptotic efficiency

KW - characterization

KW - U-statistic

KW - Characterization

KW - Approximation of maximal eigenvalue

KW - Symmetry tests

KW - Second-order Gaussian chaos process

KW - Asymptotic efficiency

KW - Degenerate U-statistics

UR - https://link.springer.com/article/10.1007/s40840-018-0680-3?wt_mc=alerts.TOCjournals&utm_source=toc&utm_medium=email&utm_campaign=toc_40840_43_1

UR - http://www.scopus.com/inward/record.url?scp=85066978240&partnerID=8YFLogxK

U2 - 10.1007/s40840-018-0680-3

DO - 10.1007/s40840-018-0680-3

M3 - Article

VL - 43

SP - 297

EP - 320

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 1

ER -

ID: 35792412