Zinchenko, N. M. Generalization of strong invariance principle for multiple sums of random variables in the domain of attraction of a stable law. (English. Ukrainian original) Zbl 0943.60022 Theory Probab. Math. Stat. 57, 33-42 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 31-40 (1997). Sufficient conditions are proposed to supply the possibility of constructing on the same probability space two sequences of i.i.d. random variables from the domain of attraction of the same stable law. Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F15 Strong limit theorems 60G50 Sums of independent random variables; random walks 60E07 Infinitely divisible distributions; stable distributions 60F17 Functional limit theorems; invariance principles Keywords:invariance principle; sums of independent identically distributed random variables; stable law PDFBibTeX XMLCite \textit{N. M. Zinchenko}, Teor. Ĭmovirn. Mat. Stat. 57, 31--40 (1997; Zbl 0943.60022); translation from Teor. Jmovirn. Mat. Stat. 57, 31--40 (1997)