Rozovskij, L. V. On a problem of Kolmogorov. (English. Russian original) Zbl 0601.60009 Sov. Math., Dokl. 32, 104-105 (1985); translation from Dokl. Akad. Nauk SSSR 283, 313-314 (1985). Partial solutions to a certain problem of Kolmogorov and its one-sided variant are stated; the problem of Kolmogorov considered here is the one appearing on page 492 [page 392 of the english translation] of I. A. Ibragimov and Yu. V. Linnik, Independent and stationary sequences of random variables. (1965; Zbl 0154.422); English translation published by Wolters-Noordhoff (1971). {The paper does not give any proofs and also contains some misprints.} Reviewer: D.N.Shanbhag MSC: 60E05 Probability distributions: general theory 60F10 Large deviations 60G50 Sums of independent random variables; random walks 62E10 Characterization and structure theory of statistical distributions Keywords:moment condition; convolutions of probability distributions; limit theorems; large deviations Citations:Zbl 0219.60027; Zbl 0154.422 PDFBibTeX XMLCite \textit{L. V. Rozovskij}, Sov. Math., Dokl. 32, 104--105 (1985; Zbl 0601.60009); translation from Dokl. Akad. Nauk SSSR 283, 313--314 (1985)