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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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Stochastic Processes, Statistical Methods, and Engineering Mathematics978-3-031-17820-7Series ISSN 2194-1009 Series E-ISSN 2194-1017
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https://doi.org/10.1007/978-3-031-17820-7SPAS 2019 Proceedings; Malyarenko Silvestrov Ni Rancic Proceedings; Malyarenko Springer; Silvestrov Spr
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2194-1009 hed in these proceedings are self-contained and can be used The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019, was to showcase the frontiers of research in several important areas of mathematic
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Gaussian Processes with Volterra Kernelsatural extension of the respective property of fBm that generates the same filtration with the underlying Wiener process. Since the inverse representations of the Gaussian processes under consideration are based on the properties of Sonine pairs, we provide several examples of Sonine pairs, both well-known and new.
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Ruin Probability for Merged Risk Processes with Correlated Arrivalson Shock Model. We represent the merged risk process as a classical compound Poisson risk process where the initial claim size distributions are replaced by a new, properly chosen phase type distribution. This allows to construct an exact formula for the ruin probability of the merged risk process.
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