Local estimating equations

RJ Carroll, D Ruppert, AH Welsh - Journal of the American …, 1998 - Taylor & Francis
Estimating equations have found wide popularity recently in parametric problems, yielding
consistent estimators with asymptotically valid inferences obtained via the sandwich formula …

Spline estimation of single-index models

L Wang, L Yang - Statistica Sinica, 2009 - JSTOR
For the past two decades, the single-index model, a special case of projection pursuit
regression, has proven to be an efficient way of coping with the high-dimensional problem in …

Testing parametric versus semiparametric modeling in generalized linear models

W Härdle, E Mammen, M Müller - Journal of the American …, 1998 - Taylor & Francis
We consider a generalized partially linear model E (Y| X, T)= G {XT β+ m (T)}, where G is a
known function, β is an unknown parameter vector, and m is an unknown function. We …

On extended partially linear single-index models

Y Xia, H Tong, WK Li - Biometrika, 1999 - academic.oup.com
Aiming to explore the relation between the response y and the stochastic explanatory vector
variable X beyond the linear approximation, we consider the single-index model, which is a …

Deep neural networks with knockoff features identify nonlinear causal relations and estimate effect sizes in complex biological systems

Z Fan, KF Kernan, A Sriram, PV Benos, SW Canna… - …, 2023 - academic.oup.com
Background Learning the causal structure helps identify risk factors, disease mechanisms,
and candidate therapeutics for complex diseases. However, although complex biological …

On semiparametric M-estimation in single-index regression

M Delecroix, M Hristache, V Patilea - Journal of Statistical Planning and …, 2006 - Elsevier
In this paper we analyze a large class of semiparametric M-estimators for single-index
models, including semiparametric quasi-likelihood and semiparametric maximum likelihood …

Statistical inference for semiparametric varying-coefficient partially linear models with error-prone linear covariates

Y Zhou, H Liang - 2009 - projecteuclid.org
We study semiparametric varying-coefficient partially linear models when some linear
covariates are not observed, but ancillary variables are available. Semiparametric profile …

Doubly robust augmented model accuracy transfer inference with high dimensional features

D Zhou, M Liu, M Li, T Cai - Journal of the American Statistical …, 2024 - Taylor & Francis
Transfer learning is crucial for training models that generalize to unlabeled target
populations using labeled source data, especially in real-world studies where label scarcity …

Single index Fréchet regression

S Bhattacharjee, HG Müller - The Annals of Statistics, 2023 - projecteuclid.org
Section S. 1 in the Supplement [5] includes the proofs of main and auxiliary results. Various
technical assumptions are compiled and discussed in Section S. 2, while Section S. 3 …

Mixture of regression models with varying mixing proportions: a semiparametric approach

M Huang, W Yao - Journal of the American Statistical Association, 2012 - Taylor & Francis
In this article, we study a class of semiparametric mixtures of regression models, in which the
regression functions are linear functions of the predictors, but the mixing proportions are …