Mijnheer, Joop On the influence of the extremal term in a (simple) \(U\)-statistic. (English. Ukrainian original) Zbl 0861.60055 Theory Probab. Math. Stat. 50, 103-106 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 101-104 (1994). Summary: It is well-known that the maximal term has an essential contribution to the partial sum of \(n\) indepenent and identically distributed random variables in the domain of attraction of a stable law. We give the contribution of the maximal term in a simple \(U\)-statistic. MSC: 60G50 Sums of independent random variables; random walks 60G70 Extreme value theory; extremal stochastic processes 60F05 Central limit and other weak theorems Keywords:characteristic exponent; domain of attraction of a stable law; \(U\)-statistic PDFBibTeX XMLCite \textit{J. Mijnheer}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60055); translation from Teor. Jmovirn. Mat. Stat. 50, 101--104 (1994)