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Some distributional properties of the continuous wavelet transform of random processes

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2 Author(s)
Averkamp, R. ; Inst. fur Math. Stochastik, Freiburg Univ., Germany ; Houdre, C.

Without finite moment conditions, some properties of random processes, such as stationarity and self-similarity, are characterized via corresponding properties of their wavelet transform. Anyone of these distributional properties of the wavelet transform characterizes the corresponding property of the increments of the random process, of order equal to the order of regularity of the analyzing wavelet. Extensions of these results to random fields are then indicated

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 3 )