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The sum and the maximum of I.I.D. random variables. (English) Zbl 0427.60025
Asymptotic statistics, Proc. 2nd Prague Symp. 1978, 81-92 (1979).

60F05 Central limit and other weak theorems
60F17 Functional limit theorems; invariance principles
60G50 Sums of independent random variables; random walks
60E07 Infinitely divisible distributions; stable distributions