2 papers
math.PR2012★ 3 cited
Fisher information and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
An Edgeworth-type expansion is established for the relative Fisher information distance to the class of normal distributions of sums of i.i.d. random variables, satisfying moment c…
math.FA2010
Fractional generalizations of Young and Brunn-Minkowski inequalities
Sergey Bobkov, Mokshay Madiman, Liyao Wang
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for cert…