Asymptotic behavior of the empirical process for gaussian data presenting seasonal long-memory
ESAIM: Probability and Statistics, Tome 6 (2002), pp. 293-309.

We study the asymptotic behavior of the empirical process when the underlying data are gaussian and exhibit seasonal long-memory. We prove that the limiting process can be quite different from the limit obtained in the case of regular long-memory. However, in both cases, the limiting process is degenerated. We apply our results to von-Mises functionals and U-Statistics.

DOI : 10.1051/ps:2002016
Classification : 60G15, 60G18, 62G30, 62M10
Mots clés : empirical process, Hermite polynomials, Rosenblatt processes, seasonal long-memory, $U$-statistics, von-Mises functionals
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Haye, Mohamedou Ould. Asymptotic behavior of the empirical process for gaussian data presenting seasonal long-memory. ESAIM: Probability and Statistics, Tome 6 (2002), pp. 293-309. doi : 10.1051/ps:2002016. http://www.numdam.org/articles/10.1051/ps:2002016/

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