Antonov, S. N.; Ryabinin, A. A. Certain properties of random series. (English. Russian original) Zbl 0445.60045 Math. Notes 25, 160-163 (1979); translation from Mat. Zametki 25, 311-316 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 60G50 Sums of independent random variables; random walks 60E10 Characteristic functions; other transforms 60F10 Large deviations Keywords:characteristic functions PDF BibTeX XML Cite \textit{S. N. Antonov} and \textit{A. A. Ryabinin}, Math. Notes 25, 160--163 (1979; Zbl 0445.60045); translation from Mat. Zametki 25, 311--316 (1979) Full Text: DOI References: [1] E. M. Nikishin, ?On a property of sums of independent variables,? Mat. Zametki,16, No. 5, 703-706 (1974). [2] Yu. V. Prokhorov, ?An extremal problem of the theory of probability,? Teor. Veroyatn. EE Primen.,4, No. 2, 211-214 (1959). [3] V. A. Rodin and E. M. Semyonov,?Rademacher series in symmetric spaces,? Anal. Math.,1, 207-222 (1975). · Zbl 0315.46031 · doi:10.1007/BF01930966 [4] E. M. Nikishin, ?Dirichlet series with independent exponents and some of their applications,? Mat. Sb.,96, No. 1, 3-40 (1975). [5] B. Ramchandran, Theory of Characteristic Functions [Russian translation], Nauka, Moscow (1975). [6] A. I. Markushevich, Theory of Functions of a Complex Variable, Prentice-Hall (1965-1967). · Zbl 0135.12002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.