Goodness-of-fit test for long range dependent processes

Gilles Fay; Anne Philippe

ESAIM: Probability and Statistics (2002)

  • Volume: 6, page 239-258
  • ISSN: 1292-8100

Abstract

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In this paper, we make use of the information measure introduced by Mokkadem (1997) for building a goodness-of-fit test for long-range dependent processes. Our test statistic is performed in the frequency domain and writes as a non linear functional of the normalized periodogram. We establish the asymptotic distribution of our statistic under the null hypothesis. Under specific alternative hypotheses, we prove that the power converges to one. The performance of our test procedure is illustrated from different simulated series. In particular, we compare its size and its power with test of Chen and Deo.

How to cite

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Fay, Gilles, and Philippe, Anne. "Goodness-of-fit test for long range dependent processes." ESAIM: Probability and Statistics 6 (2002): 239-258. <http://eudml.org/doc/244844>.

@article{Fay2002,
abstract = {In this paper, we make use of the information measure introduced by Mokkadem (1997) for building a goodness-of-fit test for long-range dependent processes. Our test statistic is performed in the frequency domain and writes as a non linear functional of the normalized periodogram. We establish the asymptotic distribution of our statistic under the null hypothesis. Under specific alternative hypotheses, we prove that the power converges to one. The performance of our test procedure is illustrated from different simulated series. In particular, we compare its size and its power with test of Chen and Deo.},
author = {Fay, Gilles, Philippe, Anne},
journal = {ESAIM: Probability and Statistics},
keywords = {goodness-of-fit test for spectral density; periodogram; long range dependence},
language = {eng},
pages = {239-258},
publisher = {EDP-Sciences},
title = {Goodness-of-fit test for long range dependent processes},
url = {http://eudml.org/doc/244844},
volume = {6},
year = {2002},
}

TY - JOUR
AU - Fay, Gilles
AU - Philippe, Anne
TI - Goodness-of-fit test for long range dependent processes
JO - ESAIM: Probability and Statistics
PY - 2002
PB - EDP-Sciences
VL - 6
SP - 239
EP - 258
AB - In this paper, we make use of the information measure introduced by Mokkadem (1997) for building a goodness-of-fit test for long-range dependent processes. Our test statistic is performed in the frequency domain and writes as a non linear functional of the normalized periodogram. We establish the asymptotic distribution of our statistic under the null hypothesis. Under specific alternative hypotheses, we prove that the power converges to one. The performance of our test procedure is illustrated from different simulated series. In particular, we compare its size and its power with test of Chen and Deo.
LA - eng
KW - goodness-of-fit test for spectral density; periodogram; long range dependence
UR - http://eudml.org/doc/244844
ER -

References

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