A Kolmogorov inequality for U-statistics based on Bernoulli kernels
AuthorChristofides, Tasos C.
SourceStatistics and Probability Letters
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A Kolmogorov inequality for the class of U-statistics based on kernels which are Bernoulli random variables is presented. This class of statistics contains the sample average of i.i.d. Bernoulli random variables as a special case. For this particular statistic, the bound obtained here is sharper than the one presented by Turner (1992). © 1994.