We propose a general methodology for the construction and analysis of essentially minimax estimators for a wide class of functionals of finite dimensional parameters, and elaborate on the case of discrete distributions, where the support size S is comparable with or even much larger than the number of observations n.Expand

We consider the problem of estimating functionals of discrete distributions, and focus on a tight (up to universal multiplicative constants for each specific functional) nonasymptotic analysis of the worst case squared error risk of widely used estimators.Expand

We show that f-divergences are not the unique decomposable divergences on binary alphabets that satisfy the data processing inequality, thereby clarifying claims that have previously appeared in the literature.Expand

We explore the nature of the pointwise relations between information theoretic quantities in the presence of Gaussian noise and show that they can be viewed as identities between expectations of random quantities.Expand

The author examines the question of whether the digital divide due to poverty or an effect of underlying social and economic conditions. The digital divide is a major concern to technology companies,âŠ Expand