2 7 Ju n 20 09 Studentized processes of U - statistics Masoud

نویسنده

  • Masoud M. Nasari
چکیده

Abstract A uniform in probability approximation is established for Studentized processes of non degenerate U -statistics of order m ≥ 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).

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تاریخ انتشار 2009