Non-uniform Berry–Esseen Bounds for Weighted U-Statistics and Generalized L-Statistics

Author:

Hu Haojun,Shao Qi-Man

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Statistics and Probability

Reference13 articles.

1. Borovshikh, Y.V., Weber, N.C.: Asymptotic distributions for a class of generalized L-statistics. Bernoulli 16, 1177–1190 (2010)

2. Cai, Z.W.: Moderate deviations and large deviations of generalized L-statistics. Chin. Ann. Math., Ser. A 13, 364–372 (1992)

3. Chen, L.H.Y., Goldstein, L., Shao, Q.M.: Normal Approximation by Stein’s Method. Springer, Heidelberg (2011)

4. Chen, L.H.Y., Shao, Q.M.: Normal approximation for nonlinear statistics using a concentration inequality approach. Bernoulli 13, 581–599 (2007)

5. Helmers, R., Janssen, P., Serfling, R.J.: Berry–Esseen bound and bootstrap results for generalized L-statistics. Scand. J. Stat. 17, 65–77 (1990)

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