Moderate deviations of empirical periodogram and non-linear functionals of moving average processes
H. Djellout, A. Guillin, L. Wu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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H. Djellout, A. Guillin, L. Wu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Hisao Watanabe (1973)
Studia Mathematica
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Albert Benassi, Stéphane Jaffard, Daniel Roux (1997)
Revista Matemática Iberoamericana
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We study the Gaussian random fields indexed by R whose covariance is defined in all generality as the parametrix of an elliptic pseudo-differential operator with minimal regularity assumption on the symbol. We construct new wavelet bases adapted to these operators; the decomposition of the field in this corresponding basis yields its iterated logarithm law and its uniform modulus of continuity. We also characterize the local scalings of the fields in terms of the properties of the principal...
P. Doukhan, P. Massart, E. Rio (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Simeon M. Berman (1985)
Annales de l'I.H.P. Probabilités et statistiques
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Philippe Carmona, Yueyun Hu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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