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Entropy power inequality for a family of discrete random variables
Entropy power inequality family of discrete random variables
2011/1/17
It is known that the Entropy Power Inequality (EPI) always holds if the random variables have density. Not much work has been done to identify discrete distributions for which the inequality holds wit...
A nonlinear inequality and evolution problems
nonlinear inequality Lyapunov stability evolution problems differential equations
2010/12/15
Assume that g(t) ≥ 0, and g˙(t) ≤ −γ(t)g(t) + α(t, g(t)) + β(t), t ≥ 0; g(0) = g0; g˙ :=
dg dt,on any interval [0, T ) on which g exists and has bounded derivative from the right, g˙(t) := lims...