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Titlebook: Stochastic Processes, Statistical Methods, and Engineering Mathematics; SPAS 2019, Västerås, Anatoliy Malyarenko,Ying Ni,Sergei Silvestrov

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Limit Theorems of Baxter Type for Generalized Random Gaussian Processes with Independent Valuesrms of general representation of covariance functionals of such processes. Sufficient conditions in those terms for the singularity of probability measures corresponding to such processes are also given.
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Gaussian Processes with Volterra Kernelstional Brownian motion (fBm) with Hurst index .. We establish smoothness properties of ., including continuity and Hölder property. It happens that its Hölder smoothness is close to well-known Hölder smoothness of fBm but is a bit worse. We give a comparison with fBm for any smoothness theorem. Then
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Stochastic Differential Equations Driven by Additive Volterra–Lévy and Volterra–Gaussian Noises, we study in detail smoothness properties of these processes. Special attention is given to two kinds of Volterra–Gaussian processes that generalize the compact interval representation of fractional Brownian motion to stochastic equations with such process.
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