Permutation tests for multiple changes

Marie Hušková; Aleš Slabý

Kybernetika (2001)

  • Volume: 37, Issue: 5, page [605]-622
  • ISSN: 0023-5954

Abstract

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Approximations to the critical values for tests for multiple changes in location models are obtained through permutation tests principle. Theoretical results say that the approximations based on the limit distribution and the permutation distribution of the test statistics behave in the same way in the limit. However, the results of simulation study show that the permutation tests behave considerably better than the corresponding tests based on the asymptotic critical value.

How to cite

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Hušková, Marie, and Slabý, Aleš. "Permutation tests for multiple changes." Kybernetika 37.5 (2001): [605]-622. <http://eudml.org/doc/33554>.

@article{Hušková2001,
abstract = {Approximations to the critical values for tests for multiple changes in location models are obtained through permutation tests principle. Theoretical results say that the approximations based on the limit distribution and the permutation distribution of the test statistics behave in the same way in the limit. However, the results of simulation study show that the permutation tests behave considerably better than the corresponding tests based on the asymptotic critical value.},
author = {Hušková, Marie, Slabý, Aleš},
journal = {Kybernetika},
keywords = {asymptotics},
language = {eng},
number = {5},
pages = {[605]-622},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Permutation tests for multiple changes},
url = {http://eudml.org/doc/33554},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Hušková, Marie
AU - Slabý, Aleš
TI - Permutation tests for multiple changes
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 5
SP - [605]
EP - 622
AB - Approximations to the critical values for tests for multiple changes in location models are obtained through permutation tests principle. Theoretical results say that the approximations based on the limit distribution and the permutation distribution of the test statistics behave in the same way in the limit. However, the results of simulation study show that the permutation tests behave considerably better than the corresponding tests based on the asymptotic critical value.
LA - eng
KW - asymptotics
UR - http://eudml.org/doc/33554
ER -

References

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  10. Horváth L., Kokoszka P., Change-point Detection with Non-parametric Regression, Report No. 313, Laboratory for Research in Statistics and Probability, Carlton University 1997 MR1906372
  11. Hušková M., 10.1016/S0167-7152(96)00055-7, Statist. Probab. Lett. 32 (1997), 45–55 (1997) DOI10.1016/S0167-7152(96)00055-7
  12. Lehmann E. L., Theory of Point Estimation, Wadworth & Brooks/Cole, Calif. 1991 Zbl0916.62017MR1143059
  13. Leadbetter M. R., Lindgren, L., Rootzen H., Extremes and Related Properties of Random Sequences and Processes, Springer–Verlag, New York 1983 Zbl0518.60021MR0691492
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