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math.ST2016★ 6 cited
Models as Approximations II: A Model-Free Theory of Parametric Regression
Andreas Buja, Lawrence Brown, Arun Kumar Kuchibhotla +3
We develop a model-free theory of general types of parametric regression for iid observations. The theory replaces the parameters of parametric models with statistical functionals,…
stat.ME2016
Efficient Estimation in Single Index Models through Smoothing splines
Arun Kumar Kuchibhotla, Rohit Kumar Patra
We consider estimation and inference in a single index regression model with an unknown but smooth link function. In contrast to the standard approach of using kernels or regressio…