On the normal approximation of U-statistics of degree two

DOI10.1016/0378-3758(91)90080-XzbMath0733.62021OpenAlexW2036023984MaRDI QIDQ809497

Yoshihiko Maesono

Publication date: 1991

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(91)90080-x

zbMATH Keywords

asymptotic normalityStein's methodinequalityrates of convergenceBerry-Esseen boundlower bound for the uniform distanceU-statistics of degree two

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05)

Related Items (1)

On the normal approximations of \(V\)- and \(L\)-statistics

Cites Work

• A lower bound for the normal approximation of U-statistics
• An Edgeworth expansion for U-statistics
• Characterizing the rate of convergence in the central limit theorem
• The Berry-Esseen theorem for U-statistics
• The Edgeworth expansion for U-statistics of degree two
• Reversing the Berry-Esseen Inequality
• On the Precision of an Estimate of the Remainder Term in the Central Limit Theorem
• A Class of Statistics with Asymptotically Normal Distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the normal approximation of U-statistics of degree two