Rate of convergence in the strong law of large numbers for a class of u-statistics and von Mises statistics
Date
1997Source
Statistics and Probability LettersVolume
31Issue
3Pages
225-231Google Scholar check
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For the class of U-statistics based on multidimensionally indexed random variables introduced in Christofides (1987), an improved rate of convergence in the strong law of large numbers is obtained using martingale inequalities and other results. In addition, the same rate of convergence is obtained for the class of associated von Mises statistics.