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MR1694770 60E15 (26A33 26D15 52A40)
Pinelis, Iosif Fractional sums and integrals of $r$-concave tails and applications to comparison probability inequalities. Advances in stochastic inequalities (Atlanta, GA, 1997), 149–168, Contemp. Math., 234, Amer. Math. Soc., Providence, RI, 1999.
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