SPDEs with linear multiplicative fractional noise: Continuity in law with respect to the Hurst index
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DOI: 10.1016/j.spa.2020.08.001
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References listed on IDEAS
- Balan, Raluca M. & Jolis, Maria & Quer-Sardanyons, Lluís, 2016. "SPDEs with rough noise in space: Hölder continuity of the solution," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 310-316.
- Jolis, Maria & Viles, Noèlia, 2010. "Continuity in the Hurst parameter of the law of the Wiener integral with respect to the fractional Brownian motion," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 566-572, April.
- Jolis, Maria & Viles, Noèlia, 2010. "Continuity in the Hurst parameter of the law of the symmetric integral with respect to the fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 120(9), pages 1651-1679, August.
- Chen, Le & Hu, Yaozhong & Nualart, David, 2019. "Nonlinear stochastic time-fractional slow and fast diffusion equations on Rd," Stochastic Processes and their Applications, Elsevier, vol. 129(12), pages 5073-5112.
- Bezdek, Pavel, 2016. "On weak convergence of stochastic heat equation with colored noise," Stochastic Processes and their Applications, Elsevier, vol. 126(9), pages 2860-2875.
- Balan, Raluca M. & Jolis, Maria & Quer-Sardanyons, Lluís, 2017. "Intermittency for the Hyperbolic Anderson Model with rough noise in space," Stochastic Processes and their Applications, Elsevier, vol. 127(7), pages 2316-2338.
- Wu, Dongsheng & Xiao, Yimin, 2009. "Continuity in the Hurst index of the local times of anisotropic Gaussian random fields," Stochastic Processes and their Applications, Elsevier, vol. 119(6), pages 1823-1844, June.
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Cited by:
- El Mehdi Haress & Alexandre Richard, 2024. "Estimation of several parameters in discretely-observed stochastic differential equations with additive fractional noise," Statistical Inference for Stochastic Processes, Springer, vol. 27(3), pages 641-691, October.
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Keywords
Fractional noise; Stochastic heat equation; Stochastic wave equation; Weak convergence; Wiener Chaos expansion;All these keywords.
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