Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein–Tikhomirov method-Reference-Cited by-同舟云学术

Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein–Tikhomirov method

Published:2023-08-01 Issue:3 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Eichelsbacher Peter¹,Rednoß Benedikt¹

Affiliation:

1. Faculty of Mathematics, Ruhr University Bochum, Germany

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference22 articles.

1. Chen, L.H.Y., Goldstein, L. and Shao, Q.-M. (2011). Normal Approximation by Stein’s Method. Probability and Its Applications (New York). Heidelberg: Springer. 10.1007/978-3-642-15007-4

2. Ross, N. (2011). Fundamentals of Stein’s method. Probab. Surv. 8 210–293. 10.1214/11-PS182

3. Arras, B. and Houdré, C. (2019). On Stein’s Method for Infinitely Divisible Laws with Finite First Moment. SpringerBriefs in Probability and Mathematical Statistics. Cham: Springer. 10.1007/978-3-030-15017-4

4. Arras, B., Mijoule, G., Poly, G. and Swan, Y. (2017). A new approach to the Stein-Tikhomirov method with applications to the second Wiener chaos and Dickman convergence. Version 2. Preprint. Available at arXiv:1605.06819v2.

5. Barbour, A.D., Karoński, M. and Ruciński, A. (1989). A central limit theorem for decomposable random variables with applications to random graphs. J. Combin. Theory Ser. B 47 125–145. 10.1016/0095-8956(89)90014-2

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