Parameter estimation in mixed fractional stochastic heat equation

The paper is devoted to a stochastic heat equation with a mixed fractional Brownian noise. We investigate the covariance structure, stationarity, upper bounds and asymptotic behavior of the solution. Based on its discrete-time observations, we construct a strongly consistent estimator for the Hurst...

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Bibliographic Details
Main Authors: Diana Avetisian, Kostiantyn Ralchenko
Format: Article
Language:English
Published: VTeX 2023-01-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA221