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Inequalities for the Mean Concentration
1985We shall now prove the two inequalities mentioned in section 4. In the proofs we rely on Jensen’s inequality for convex functions. A function f is called convex if all its cords lie above or on the graph of f. In analytical terms this means that $$pf({x_{1}}) + \left( {1 - p} \right)f\left( {{x_{2}}} \right) \geqslant f\left( {p{x_{1}} + \left( {1 -
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Concentration Inequalities for Polynomials in α-Sub-Exponential Random Variables
Electronic Journal of Probability, 2021Arthur Sinulis +2 more
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Reducing Social Inequalities in Cancer: Setting Priorities for Research
Ca-A Cancer Journal for Clinicians, 2018David I Conway +2 more
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About the Constants in Talagrand's Concentration Inequalities for Empirical Processes
Annals of Probability, 2000Pascal Massart
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Concentration Inequalities for Sums and Martingales
SpringerBriefs in Mathematics, 2015Bernard Bercu, Emmanuel Rio
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New Concentration Inequalities in Product Spaces
Inventiones Mathematicae, 1996Michel Talagrand
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