The Malliavin–Stein Method on the Poisson Space-Reference-Cited by-同舟云学术

The Malliavin–Stein Method on the Poisson Space

Published:2016 Issue: Volume: Page:185-228
ISSN:2039-1471
Container-title:Stochastic Analysis for Poisson Point Processes
language:
Short-container-title:

Author:

Bourguin Solesne,Peccati Giovanni

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-05233-5_6

Reference33 articles.

1. Arratia, R., Goldstein, L., Gordon, L.: Two moments suffice for Poisson approximations: the Chen–Stein method. Ann. Probab. 17, 9–25 (1989)

2. Bachmann, S., Peccati, G.: Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited. Electron. J. Probab. 21 (6), 1–44 (2016)

3. Bachmann, S., Reitzner, M.: Concentration for Poisson U-statistics: subgraph counts in random geometric graphs. Manuscript (2015)

4. Barbour, A.D., Holst, L., Janson, S.: Poisson Approximation. Oxford University Press, Oxford (1992)

5. Bourguin, S., Peccati, G.: Portmanteau inequalities on the Poisson space: mixed limits and multidimensional clustering. Electron. J. Probab. 19 (66), 1–42 (2014)

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A modified Φ-Sobolev inequality for canonical Lévy processes and its applications;Modern Stochastics: Theory and Applications;2023

2. Quantitative two-scale stabilization on the Poisson space;The Annals of Applied Probability;2022-08-01

3. Poisson and Gaussian fluctuations for the components of the f -vector of high-dimensional random simplicial complexes;Latin American Journal of Probability and Mathematical Statistics;2020

4. On the fourth moment condition for Rademacher chaos;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2019-02-01

5. Quantitative CLTs for symmetric $U$-statistics using contractions;Electronic Journal of Probability;2019-01-01