39 citations · 107 across the 31 of their papers we have counts for
3 papers · 1 filter
Optimal Adaptive Inference in Random Design Binary Regression
Rajarshi Mukherjee, Subhabrata Sen
We construct confidence sets for the regression function in nonparametric binary regression with an unknown design density. These confidence sets are adaptive in loss over a…
Higher Order Estimating Equations for High-dimensional Models
James Robins, Lingling Li, Rajarshi Mukherjee +2
We introduce a new method of estimation of parameters in semiparametric and nonparametric models. The method is based on estimating equations that are -statistics in the observa…
Lepski's Method and Adaptive Estimation of Nonlinear Integral Functionals of Density
Rajarshi Mukherjee, Eric Tchetgen Tchetgen, James Robins
We study the adaptive minimax estimation of non-linear integral functionals of a density and extend the results obtained for linear and quadratic functionals to general functionals…