scientific article; zbMATH DE number 1342367

zbMath0937.60011MaRDI QIDQ4263966

Iosif Pinelis

Publication date: 22 September 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

probability inequalities\(\alpha\)-convex functions\(r\)-concave tailsfractional summation and integration

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fractional derivatives and integrals (26A33) Axiomatic and generalized convexity (52A01) Combinatorial inequalities (05A20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Convexity of real functions in one variable, generalizations (26A51) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities and extremum problems in real or complex geometry (51M16) Inequalities involving other types of functions (26D07)

Related Items (18)

On Hoeffding's inequalities. ⋮ Exact inequalities for sums of asymmetric random variables, with applications ⋮ Comparison inequalities for suprema of bounded empirical processes ⋮ Schur\(^2\)-concavity properties of Gaussian measures, with applications to hypotheses testing ⋮ Addendum to ``An extension of an inequality of Hoeffding to unbounded random variables: The non-i.i.d. case ⋮ On the Bennett-Hoeffding inequality ⋮ Concentration inequalities for separately convex functions ⋮ On domination of tail probabilities of (super)martingales: explicit bounds ⋮ An extension of the Hoeffding inequality to unbounded random variables ⋮ New Jensen-type inequalities and their applications ⋮ Bounds for tail probabilities of martingales using skewness and kurtosis ⋮ Exact Lower Bounds on the Exponential Moments of Truncated Random Variables ⋮ Positive-part moments via the Fourier-Laplace transform ⋮ Toward the best constant factor for the Rademacher-Gaussian tail comparison ⋮ On measure concentration for separately Lipschitz functions in product spaces ⋮ An exponential inequality for suprema of empirical processes with heavy tails on the left ⋮ Bounds for tail probabilities of the sample variance ⋮ Rademacher–Gaussian tail comparison for complex coefficients and related problems

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