39 citations · 107 across the 31 of their papers we have counts for
4 papers · 1 filter
Global Testing Against Sparse Alternatives under Ising Models
Rajarshi Mukherjee, Sumit Mukherjee, Ming Yuan
In this paper, we study the effect of dependence on detecting sparse signals. In particular, we focus on global testing against sparse alternatives for the means of binary outcomes…
Detection Thresholds for the -Model on Sparse Graphs
Rajarshi Mukherjee, Sumit Mukherjee, Subhabrata Sen
In this paper we study sharp thresholds for detecting sparse signals in -models for potentially sparse random graphs. The results demonstrate interesting interplay between graph…
Adaptive Estimation of Nonparametric Functionals
Lin Liu, Rajarshi Mukherjee, James Robins +1
We provide general adaptive upper bounds for estimating nonparametric functionals based on second order U-statistics arising from finite dimensional approximation of the infinite d…
Asymptotic Normality of Scrambled Geometric Net Quadrature
Kinjal Basu, Rajarshi Mukherjee
In a very recent work, Basu and Owen (2015) propose the use of scrambled geometric nets in numerical integration when the domain is a product of arbitrary spaces of dimension $…