Negentropy as a function of cumulants
Suppose f  is a density that is close to that of a standard normal, ? ? . For the first time, exact expressions are given for the negentropy, the differential entropy, and related quantities such as ? - ? ? f r ( x ) / ? r - 1 ( x ) dx for r=2,3, r = 2 , 3 ,  in terms of cumulants. Several advantages of our expressions over known ones are pointed out.
negentropy cumulant differential entropy hermite polynomial