A uniform strong law of large numbers for U-statistics with application to transforming to near symmetry

✍ Scribed by In-Kwon Yeo; Richard A. Johnson

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 95 KB
• Volume: 51
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(00)00143-7

✦ Synopsis

This paper studies the almost sure convergence of U -statistics which depend on a parameter. We give a set of su cient conditions for uniform convergence, in the parameter, with probability one. An example of selecting a transformation to near symmetry illustrates how the result may be applied to statistical problems.