116 citations · 590 across the 35 of their papers we have counts for
4 papers · 2 filters
On an Inequality of Karlin and Rinott Concerning Weighted Sums of i.i.d. Random Variables
Yaming Yu
We present an entropy comparison result concerning weighted sums of independent and identically distributed random variables.
Monotonicity, thinning and discrete versions of the Entropy Power Inequality
Oliver Johnson, Yaming Yu
We consider the entropy of sums of independent discrete random variables, in analogy with Shannon's Entropy Power Inequality, where equality holds for normals. In our case, infinit…
Squeezing the Arimoto-Blahut algorithm for faster convergence
Yaming Yu
The Arimoto--Blahut algorithm for computing the capacity of a discrete memoryless channel is revisited. A so-called ``squeezing'' strategy is used to design algorithms that preserv…
Concavity of entropy under thinning
Yaming Yu, Oliver Johnson
Building on the recent work of Johnson (2007) and Yu (2008), we prove that entropy is a concave function with respect to the thinning operation T_a. That is, if X and Y are indepen…