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