Jensen's Inequality For Medians
Jensen's inequality states that for any random variable x with a finite expectation E(X) and for any convex function f then
It has been shown that if x is a real variable with a unique median m and f is a C function then
A C function is a real valued function, defined on the set of real numbers R, with the property that for any real t
is a closed interval, a singleton or an empty set.
Read more about this topic: Median
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