A note on edgeworth expansions for U-statistics under minimal conditions

Lithuanian Mathematical Journal

Volumn 45, Issue 3, 2005, Pages 353-358

  Jing, B Y ^a   Zhou, W ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Edgeworth expansions; Nonlattice condition; Optimal moments; U statistics

Indexed keywords

EID: 27844447079     PISSN: 03631672     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10986-005-0036-1     Document Type: Article

References (3)

1. V. Bentkus and F. Götze, On minimal moment assumptions in Berry-Esséen theorems for U-statistics, Theory Probab. Appl., 40, 430-445 (1995).
2. V. Bentkus, F. Götze, and R. Zitikis, Lower estimates of the convergence rate for U-statistics, Ann. Probab., 22, 1707-1714 (1994).
3. B. Y. Jing and Q. Y. Wang, Edgeworth expansion for U-statistics under minimal conditions. Ann. Statist., 31, 1376-1391 (2003).