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A strong convergence to the Rosenblatt process - MaRDI portal

A strong convergence to the Rosenblatt process (Q412475)

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scientific article; zbMATH DE number 6030458
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A strong convergence to the Rosenblatt process
scientific article; zbMATH DE number 6030458

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    A strong convergence to the Rosenblatt process (English)
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    4 May 2012
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    The Rosenblatt process is a non-Gaussian self-similar, stationary increment stochastic process having the same covariance function as the fractional Brownian motion. Usually, the Rosenblatt process is defined as a multiple Wiener-Ito integral. The authors prove that the Rosenblatt process can be approximated in the strong sense by functionals of a certain type of processes called transport processes.
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    ultiple stochastic integrals
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    Wiener-Ito integral
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    Rosenblatt process
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    fractional Brownian motion
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    strong invariance principle
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    self-similarity
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