A symmetry test for functional data via the empirical characteristic functional
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10501384" target="_blank" >RIV/00216208:11320/25:10501384 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=G94kHQX3h2" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=G94kHQX3h2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00362-025-01716-8" target="_blank" >10.1007/s00362-025-01716-8</a>
Alternative languages
Result language
angličtina
Original language name
A symmetry test for functional data via the empirical characteristic functional
Original language description
A test of central symmetry of a functional random variable is proposed. We use the characterization of symmetry via the characteristic functional, that is, we use the fact that the characteristic functional of a symmetric random function is a real-valued functional. Hence, we construct a Cram & eacute;r-von Mises-type test of the hypothesis that the imaginary part of the characteristic functional vanishes. The test statistic assumes a relatively simple form if we use a Gaussian measure to construct the test. As the test statistic is a degenerate U-statistic, we must use a wild bootstrap to obtain approximate critical values under the null hypothesis. An alternative approach based on a two-sample test for functional data is compared with our test procedure. Several simulations illustrate the performance of the proposed test.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
<a href="/en/project/GA23-05737S" target="_blank" >GA23-05737S: Functional Fourier Data Analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Statistical Papers
ISSN
0932-5026
e-ISSN
1613-9798
Volume of the periodical
66
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
104
UT code for WoS article
001504560900002
EID of the result in the Scopus database
2-s2.0-105007523412