Is there any existing literature on the properties/applications of the following class of functions?
$\frac{f(E[x])}{E[f(x)]}\geq c$
where $c< 1$ is a constant. Note that for $c=1$ these are exactly concave functions.
Is there any existing literature on the properties/applications of the following class of functions?
$\frac{f(E[x])}{E[f(x)]}\geq c$
where $c< 1$ is a constant. Note that for $c=1$ these are exactly concave functions.
One can look at log-concave distributions. In particular, this article mentions an application of near log-concave distributions to learning.