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Literature Cited
H. P. Rosenthal, “On the span in Lp of sequences of independent random variables (II),” in: Sixth Berekeley Symposium on Mathematical Statistics and Probability, Vol. 2, University of California Press (1972), pp. 149–167.
S. V. Nagaev and N. F. Pinelis, “Some inequalities for sums of independent random variables,” Teor. Veroyatn. Primen.,22, No. 2, 254–263 (1977).
V. V. Sazonov, “Estimating moments of sums of independent random variables,” Teor. Veroyatn. Primen.,19, No. 2, 383–386 (1974).
S. W. Dharmadhikari and K. Jogdeo, “Bounds on moments of certain random variables,” Ann. Math. Statist.,40, No. 4, 1506–1508 (1969).
V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).
B. von Bahr and C. G. Essen, “Inequalities for the r-th absolute moment of a sum of random variables, 1≤r≤2,” Ann. Math. Stat.,36, No. 1, 299–303 (1965).
J. Marcinkievicz and A. Zygmund, “Sur les fonctions independantes,” Fund. Math.,29, 60–90 (1937).
I. Ruzsa, “On the variance of additive functions”, Budapest, 1979 (preprint).
M. Loeve, Probability Theory, Springer-Verlag (1975).
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V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 22, No. 1, pp. 112–116, January–March, 1982.
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Manstavičius, E. Inequalities for the p-th moment, p, 0<p<2, of a sum of independent random variables. Lith Math J 22, 64–67 (1982). https://doi.org/10.1007/BF00967928
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DOI: https://doi.org/10.1007/BF00967928