Gaussian Volterra processes with power-type kernels. Part I

The stochastic process of the form \[ {X_{t}}={\int _{0}^{t}}{s^{\alpha }}\left({\int _{s}^{t}}{u^{\beta }}{(u-s)^{\gamma }}\hspace{0.1667em}du\right)\hspace{0.1667em}d{W_{s}}\] is considered, where W is a standard Wiener process, $\alpha >-\frac{1}{2}$, $\gamma >-1$, and $\alpha +\beta +...

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Bibliographic Details
Main Authors: Yuliya Mishura, Sergiy Shklyar
Format: Article
Language:English
Published: VTeX 2022-04-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/22-VMSTA205