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We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

Econometrics · Economics 2024-12-18 Fu Ouyang , Thomas T. Yang

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

Methodology · Statistics 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

We propose a new modeling and estimation approach to select the optimal treatment regime from different options through constructing a robust estimating equation. The method is protected against misspecification of the propensity score…

Methodology · Statistics 2022-11-15 Trinetri Ghosh , Yanyuan Ma , Wensheng Zhu , Yuanjia Wang

We propose a new procedure for inference on optimal treatment regimes in the model-free setting, which does not require to specify an outcome regression model. Existing model-free estimators for optimal treatment regimes are usually not…

Methodology · Statistics 2020-07-06 Yunan Wu , Lan Wang

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

Econometrics · Economics 2019-08-26 Michael Zimmert , Michael Lechner

In the context of estimating local modes of a conditional density based on kernel density estimators, we show that existing bandwidth selection methods developed for kernel density estimation are unsuitable for mode estimation. We propose…

Computation · Statistics 2017-11-02 Haiming Zhou , Xianzheng Huang

New methods and theory have recently been developed to nonparametrically estimate cumulative incidence functions for competing risks survival data subject to current status censoring. In particular, the limiting distribution of the…

Methodology · Statistics 2012-01-12 Marloes H. Maathuis , Michael G. Hudgens

This paper investigates new ways of estimating and identifying causal, noncausal, and mixed causal-noncausal autoregressive models driven by a non-Gaussian error sequence. We do not assume any parametric distribution function for the…

Econometrics · Economics 2022-11-28 Alain Hecq , Daniel Velasquez-Gaviria

Multimodal regression estimation methods are introduced for regression models involving circular response and/or covariate. The regression estimators are based on the maximization of the conditional densities of the response variable over…

Methodology · Statistics 2024-01-10 María Alonso-Pena , Rosa M. Crujeiras

Retrospective cohorts can be extracted from Electronic Health Records (EHR) to study prevalence, time until disease or event occurrence and cure proportion in real world scenarios. However, EHR are collected for patient care rather than…

Methodology · Statistics 2026-02-03 Matilda Pitt , Robert J. B. Goudie

Instrumental variable methods are widely used to address unmeasured confounding, yet much of the existing literature has focused on the binary instrument setting. Extensions to continuous instruments often impose strong parametric…

Methodology · Statistics 2025-08-12 Zhenghao Zeng , Alexander W. Levis , JungHo Lee , Edward H. Kennedy , Luke Keele

We investigate the issue of bandwidth estimation in a nonparametric functional regression model with function-valued, continuous real-valued and discrete-valued regressors under the framework of unknown error density. Extending from the…

Methodology · Statistics 2016-06-20 Han Lin Shang

Reconstruction of sets from a random sample of points intimately related to them is the goal of set estimation theory. Within this context, a particular problem is the one related with the reconstruction of density level sets and…

Methodology · Statistics 2020-11-06 Paula Saavedra-Nieves , Rosa María Crujeiras

Relative survival methodology deals with a competing risks survival model where the cause of death is unknown. This lack of information occurs regularly in population-based cancer studies. Non-parametric estimation of the net survival is…

Statistics Theory · Mathematics 2025-02-14 Oskar Laverny , Nathalie Grafféo , Roch Giorgi

We propose novel estimators for categorical and continuous treatments by using an optimal covariate balancing strategy for inverse probability weighting. The resulting estimators are shown to be consistent and asymptotically normal for…

Methodology · Statistics 2025-09-08 Seong-ho Lee , Yanyuan Ma , Xavier de Luna

In longitudinal and spatial studies, observations often demonstrate strong correlations that are stationary in time or distance lags, and the times or locations of these data being sampled may not be homogeneous. We propose a nonparametric…

Statistics Theory · Mathematics 2007-11-06 Yehua Li , Naisyin Wang , Meeyoung Hong , Nancy D. Turner , Joanne R. Lupton , Raymond J. Carroll

In this paper, we deal with the data-driven selection of multidimensional and possibly anisotropic bandwidths in the general framework of kernel empirical risk minimization. We propose a universal selection rule, which leads to optimal…

Statistics Theory · Mathematics 2016-08-11 Michaël Chichignoud , Sébastien Loustau

In this paper, we propose to construct confidence bands by bootstrapping the debiased kernel density estimator (for density estimation) and the debiased local polynomial regression estimator (for regression analysis). The idea of using a…

Methodology · Statistics 2019-06-06 Gang Cheng , Yen-Chi Chen

Inferring treatment effects on a survival time outcome based on data from an observational study is challenging due to the presence of censoring and possible confounding. An additional challenge occurs when a unit's treatment affects the…

Methodology · Statistics 2025-08-13 Chanhwa Lee , Donglin Zeng , Michael Emch , John D. Clemens , Michael G. Hudgens