The Mann-Whitney U-statistic for $\alpha$-dependent sequences
  We give the asymptotic behavior of the Mann-Whitney U-statistic for two independent stationary sequences. The result applies to a large class of short-range dependent sequences, including many non-mixing processes in the sense of Rosenblatt. We also give some partial results in the long-range dependent case, and we investigate other related questions. Based on the theoretical results, we propose some simple corrections of the usual tests for stochastic domination; next we simulate different (non-mixing) stationary processes to see that the corrected tests perform well. 
J\'er\^ome Dedecker (MAP5), Guillaume Sauli\`ere (IRMES)
math.ST stat.TH