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Goodness-of-fit tests for the logistic location family. / Nikitin, Ya.Yu.; Ragozin, I.A.
в: Journal of Applied Statistics, Том 47, № 13-15, 17.11.2020, стр. 2610-2622.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Goodness-of-fit tests for the logistic location family
AU - Nikitin, Ya.Yu.
AU - Ragozin, I.A.
N1 - Publisher Copyright: © 2020 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2020/11/17
Y1 - 2020/11/17
N2 - We construct two U-empirical tests for the logistic location family which are based on appropriate characterization of this family using independent exponential shifts. We study the limiting distributions and local Bahadur efficiency of corresponding test statistics under close alternatives. It turns out that the present tests are considerably more efficient than the recently proposed similar tests based on another characterization. The efficiency calculations are accompanied by the simulation of power for new tests together with the previous ones.Both efficiency and power turn out to be very high. Finally we consider the application of our tests to real data example.
AB - We construct two U-empirical tests for the logistic location family which are based on appropriate characterization of this family using independent exponential shifts. We study the limiting distributions and local Bahadur efficiency of corresponding test statistics under close alternatives. It turns out that the present tests are considerably more efficient than the recently proposed similar tests based on another characterization. The efficiency calculations are accompanied by the simulation of power for new tests together with the previous ones.Both efficiency and power turn out to be very high. Finally we consider the application of our tests to real data example.
KW - exponential distribution
KW - U-statistic
KW - Efficiency
KW - characterization of distributions
KW - Kolmogorov tests
KW - logistic distribution
KW - U-statistics
KW - Bahadur efficiency
KW - characterization
KW - Kolmogorov tests
KW - Kolmogorov test
KW - Logistic distribution
UR - https://www.tandfonline.com/action/showAxaArticles?journalCode=cjas20
UR - http://www.scopus.com/inward/record.url?scp=85084345843&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/ddadbc90-31f9-3112-afd3-bd7129b0951f/
U2 - DOI:10.1080/02664763.2020.1761952
DO - DOI:10.1080/02664763.2020.1761952
M3 - Article
VL - 47
SP - 2610
EP - 2622
JO - Journal of Applied Statistics
JF - Journal of Applied Statistics
SN - 0266-4763
IS - 13-15
ER -
ID: 53651245