2009/06/27 by Masoud M. Nasari, Nasari, Masoud M.
Computer Science · Mathematics · #Data Analysis with R #FOS: Mathematics #Probability (math.PR) #Statistics Education and Methodologies #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.0906.5101
openalex publication_date 2009/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A uniform in probability approximation is established for Studentized processes of non degenerate U-statistics of order m greater or equal to 2 in terms of a standard Wiener process. The classical condition that the second moment of kernel of the underlying U-statistic exists is relaxed to having 5/3 moments. Furthermore, the conditional expectation of the kernel is only assumed to be in the domain of attraction of the normal law (instead of the classical two moment condition).