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High order chaotic limits of wavelet scalograms under long--range dependence

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Publication:2871436
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zbMath1280.42031arXiv1201.4831MaRDI QIDQ2871436

Murad S. Taqqu, Ciprian A. Tudor, Marianne Clausel, François Roueff

Publication date: 23 January 2014

Full work available at URL: https://arxiv.org/abs/1201.4831


zbMATH Keywords

long-range dependenceself-similar processesWiener chaoswavelet coefficientsHermite processes


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional processes, including fractional Brownian motion (60G22) Inference from stochastic processes and spectral analysis (62M15) Generalized stochastic processes (60G20) Self-similar stochastic processes (60G18)


Related Items (5)

Stein's method for functions of multivariate normal random variables ⋮ Non-central limit theorems for quadratic functionals of Hermite-driven long memory moving average processes ⋮ Asymptotic behavior of the quadratic variation of the sum of two Hermite processes of consecutive orders ⋮ Asymptotic normality for a modified quadratic variation of the Hermite process ⋮ Large scale reduction principle and application to hypothesis testing







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