Nonuniform Berry-Esseen bounds for studentized U-statistics-Reference-Cited by-同舟云学术

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Nonuniform Berry-Esseen bounds for studentized U-statistics

Published:2024-11-01 Issue:4 Volume:30 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Leung Dennis¹,Shao Qi-Man²

Affiliation:

1. School of Mathematics and Statistics, University of Melbourne, Victoria, Australia

2. Department of Statistics and Data Science, SICM, National Center for Applied Mathematics Shenzhen, Southern University of Science and Technology, Shenzhen, China

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Reference34 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. Chen, L.H.Y. and Shao, Q.-M. (2007). Normal approximation for nonlinear statistics using a concentration inequality approach. Bernoulli 13 581–599. 10.3150/07-BEJ5164

3. Shao, Q.-M. and Zhou, W.-X. (2016). Cramér type moderate deviation theorems for self-normalized processes. Bernoulli 22 2029–2079. 10.3150/15-BEJ719

4. Callaert, H. and Janssen, P. (1978). The Berry-Esseen theorem for U-statistics. Ann. Statist. 6 417–421.

5. Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Ann. Math. Stat. 19 293–325. 10.1214/aoms/1177730196

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