Rate of convergence in the strong law of large numbers for U-statistics based on a multidimensionally indexed array of random variables

Tasos C. Christofides

Statistics & Probability Letters, 1990, vol. 9, issue 3, 267-272

Abstract: U-statistics based on a multidimensionally indexed array of random variables were introduced in Christofides (1987). In this paper, the rate of convergence in the strong law of large numbers for this class of U-statistics is obtained using martingale inequalities.

Keywords: U-statistics; multidimensionally; indexed; martingales (search for similar items in EconPapers)
Date: 1990
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