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- W1987703160 abstract "By using chaos expansion into multiple stochastic integrals, we make a wavelet analysis of two self-similar stochastic processes: the fractional Brownian motion and the Rosenblatt process. We study the asymptotic behavior of the statistic based on the wavelet coefficients of these processes. Basically, when applied to a non-Gaussian process (such as the Rosenblatt process) this statistic satisfies a non-central limit theorem even when we increase the number of vanishing moments of the wavelet function. We apply our limit theorems to construct estimators for the self-similarity index and we illustrate our results by simulations." @default.
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- W1987703160 date "2010-12-01" @default.
- W1987703160 modified "2023-10-03" @default.
- W1987703160 title "A wavelet analysis of the Rosenblatt process: Chaos expansion and estimation of the self-similarity parameter" @default.
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- W1987703160 doi "https://doi.org/10.1016/j.spa.2010.08.003" @default.
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