A remark on a previous paper by Bredihin and Linnik
S. Uchiyama (1972)
Acta Arithmetica
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S. Uchiyama (1972)
Acta Arithmetica
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von Neumann, John (1942)
Portugaliae mathematica
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Hugh Montgomery (1988)
Acta Arithmetica
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Varennes e Mendonça, P. de (1942)
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Rafał Latała (1996)
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Let be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable , where are vectors of some Banach space. We derive approximate formulas for the tail and moments of ∥X∥. The estimates are exact up to some universal constant and they extend results of S. J. Dilworth and S. J. Montgomery-Smith [1] for the Rademacher sequence and E. D. Gluskin and S. Kwapień [2] for real coefficients.
Stanisław Knapowski (1962)
Acta Arithmetica
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R. Leśniewicz, W. Orlicz (1973)
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Jordan, Camille (2009)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Stanisław Knapowski, W Staś (1962)
Acta Arithmetica
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L Carlitz (1962)
Acta Arithmetica
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Kazimierz Szymiczek (1974)
Acta Arithmetica
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