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The method of cumulants for the normal approximation

Published:2022-01-01 Issue:none Volume:19 Page:
ISSN:1549-5787
Container-title:Probability Surveys
language:
Short-container-title:Probab. Surveys

Author:

Döring Hanna¹,Jansen Sabine²,Schubert Kristina³

Affiliation:

1. Osnabrück University, Institute of Mathematics, Albrechtstr. 28a, 49076 Osnabrück, Germany

2. LMU Munich, Department of Mathematics, Theresienstr. 39, 80333 Munich, Germany

3. TU Dortmund University, Faculty of Mathematics, Vogelpothsweg 87, 44227 Dortmund, Germany

Publisher

Institute of Mathematical Statistics

Subject

Statistics and Probability

Reference114 articles.

1. Grote, J. and Thäle, C. (2018). Concentration and moderate deviations for Poisson polytopes and polyhedra. Bernoulli 24 2811–2841.

2. Grote, J. and Thäle, C. (2018). Gaussian polytopes: A cumulant-based approach. J. Complexity 47 1–41.

3. Baryshnikov, Y. and Yukich, J. E. (2005). Gaussian limits for random measures in geometric probability. Ann. Appl. Probab. 15 213–253.

4. BŁaszczyszyn, B., Yogeshwaran, D. and Yukich, J. E. (2019). Limit theory for geometric statistics of point processes having fast decay of correlations. Ann. Probab. 47 835–895.

5. Mason, D. M. and Zhou, H. H. (2012). Quantile coupling inequalities and their applications. Probab. Surv. 9 439–479.

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1. Normal approximation of subgraph counts in the random-connection model;Bernoulli;2024-11-01

2. Probabilistic limit theorems induced by the zeros of polynomials;Mathematische Nachrichten;2023-12-26

3. Nearly optimal central limit theorem and bootstrap approximations in high dimensions;The Annals of Applied Probability;2023-06-01

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