A real valued function f defined on a real interval I is called (ε,δ)-convex if it satisfies f(tx+(1-t)y)≤ tf(x)+(1-t)f(y)+ε t(1-t)|x-y|+δ for x,y∈ I,t∈ [0,1]. The main results of the paper offer ...
The relationship of the large deviation rate, $\psi^\ast(a)$, of the mean of independent and identically distributed random variables to their cumulant generating function, $\psi(\lambda)$, is well ...
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