On the rate of convergence for central limit theorems of sojourn times of Gaussian fields
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DOI: 10.1016/j.spa.2013.01.016
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References listed on IDEAS
- Nourdin, Ivan & Peccati, Giovanni & Podolskij, Mark, 2011.
"Quantitative Breuer-Major theorems,"
Stochastic Processes and their Applications, Elsevier, vol. 121(4), pages 793-812, April.
- Ivan Nourdin & Giovanni Peccati & Mark Podolskij, 2010. "Quantitative Breuer-Major Theorems," CREATES Research Papers 2010-22, Department of Economics and Business Economics, Aarhus University.
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Cited by:
- Marie Kratz & Sreekar Vadlamani, 2016. "CLT for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields," Working Papers hal-01373091, HAL.
- Marie Kratz & Sreekar Vadlamani, 2018. "Central Limit Theorem for Lipschitz–Killing Curvatures of Excursion Sets of Gaussian Random Fields," Journal of Theoretical Probability, Springer, vol. 31(3), pages 1729-1758, September.
- Maurizia Rossi, 2019. "The Defect of Random Hyperspherical Harmonics," Journal of Theoretical Probability, Springer, vol. 32(4), pages 2135-2165, December.
- Chen, Huiping & Chen, Yong & Liu, Yong, 2024. "Kernel representation formula: From complex to real Wiener–Itô integrals and vice versa," Stochastic Processes and their Applications, Elsevier, vol. 167(C).
- Elena Di Bernardino & Céline Duval, 2022. "Statistics for Gaussian random fields with unknown location and scale using Lipschitz‐Killing curvatures," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(1), pages 143-184, March.
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Keywords
Gaussian field; Sojourn time; Malliavin calculus; Hermite polynomials;All these keywords.
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