116 citations · 590 across the 35 of their papers we have counts for
8 papers · 1 filter
An Inequality for the Correlation of Two Functions Operating on Symmetric Bivariate Normal Variables
Ran Hadad, Uri Erez, Yaming Yu
An inequality is derived for the correlation of two univariate functions operating on symmetric bivariate normal random variables. The inequality is a simple consequence of the Cau…
Sharp Bounds on the Entropy of the Poisson Law and Related Quantities
Jose A. Adell, Alberto Lekuona, Yaming Yu
One of the difficulties in calculating the capacity of certain Poisson channels is that H(lambda), the entropy of the Poisson distribution with mean lambda, is not available in a s…
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…