International Mathematical Forum
In this note, bounds and inequalities for the comparisons of weighted energy functions, entropy, and discrimination information measures and their unweighted counterparts are presented. Inequalities for weighted expected uncertainty, cross-entropy or discrimination information measures are also presented. A useful result on the convergence of the weighted kernel density informational energy estimates is given and some informational energy applications presented.
Oluyede, Broderick O., Mekki Terbeche.
"On Energy and Expected Uncertainty Measures in Weighted Distributions."
International Mathematical Forum, 2 (20): 947-956.