The limiting distribution of weighted U-statistics of degree 2 is found for a wide class of weights, including uniform weights. Nonnormal limits can occur for both degenerate and nondegenerate kernels. A compact expression is given for the cumulants of the distribution. Incomplete and randomly weighted U-statistics are also analyzed.
No takes yet. Share an insight, caveat, or question.
O’Neil et al. (1993) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: