Holzmann, Hajo; Koch, Susanne; Min, Aleksey - In: Statistics & Probability Letters 69 (2004) 3, pp. 261-269
We relax the moment conditions from a result in almost sure limit theory for U-statistics due to Berkes and Csaki [(Stochastic Process. Appl. 94 (2001) 105)]. We extend this result to the case of convergence to stable laws and also prove a functional version.