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In this paper, we first provide a review of different non-parametric estimators for the cumulative distribution function under left-censoring. We then propose a new estimator based on a non-parametric likelihood approach using reversed…

Statistics Theory · Mathematics 2023-07-11 N. Balakrishnan , Christian Paroissin , Magdalena Pereda Vivo

While tabular foundation models have achieved remarkable success in classification and regression, adapting them to model time-to-event outcomes for survival analysis is non-trivial due to right-censoring, where data observations may end…

Machine Learning · Computer Science 2026-02-02 Da In Kim , Wei Siang Lai , Kelly W. Zhang

In this review we cover the basics of efficient nonparametric parameter estimation (also called functional estimation), with a focus on parameters that arise in causal inference problems. We review both efficiency bounds (i.e., what is the…

Methodology · Statistics 2023-01-27 Edward H. Kennedy

Model-free time-to-event regression under confounding presents challenges due to biases introduced by causal and censoring sampling mechanisms. This phenomenology poses problems for classical non-parametric estimators like Beran's or the…

Statistics Theory · Mathematics 2025-02-28 Carlos García-Meixide , Marcos Matabuena

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

How to include censored data in a statistical analysis is a recur-rent issue in statistics. In multivariate extremes, the dependence structure of large observations can be characterized in terms of a non parametric angular measure, while…

Methodology · Statistics 2014-12-03 Anne Sabourin

With insurers benefiting from ever-larger amounts of data of increasing complexity, we explore a data-driven method to model dependence within multilevel claims in this paper. More specifically, we start from a non-parametric estimator for…

Methodology · Statistics 2024-01-17 Marie Michaelides , Hélène Cossette , Mathieu Pigeon

In this article, we construct semiparametrically efficient estimators of linear functionals of a probability measure in the presence of side information using an easy empirical likelihood approach. We use estimated constraint functions and…

Methodology · Statistics 2023-03-01 Shan Wang , Hanxiang Peng

Maximum approximate Bernstein likelihood estimates of the baseline density function and the regression coefficients in the proportional hazard regression models based on interval-censored event time data are proposed. This results in not…

Methodology · Statistics 2020-12-25 Zhong Guan

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

The inverse probability weighting approach is popular for evaluating treatment effects in observational studies, but extreme propensity scores could bias the estimator and induce excessive variance. Recently, the overlap weighting approach…

Methodology · Statistics 2022-06-22 Chao Cheng , Fan Li , Laine Thomas , Fan Li

In medical and biological research, longitudinal data and survival data types are commonly seen. Traditional statistical models mostly consider to deal with either of the data types, such as linear mixed models for longitudinal data, and…

Methodology · Statistics 2021-07-12 Jizi Shangguan

Weighting with the inverse probability of censoring is an approach to deal with censoring in regression analyses where the outcome may be missing due to right-censoring. In this paper, three separate approaches involving this idea in a…

Methodology · Statistics 2025-10-30 Morten Overgaard

The nonparametric estimators built by minimizing the mean squared relative error are gaining in popularity for their robustness in the presence of outliers in comparison to the Nadaraya Watson estimators. In this paper we build a relative…

Statistics Theory · Mathematics 2023-11-21 Adel Boucetta , Zohra Guessoum , Elias Ould-Said

Databases derived from electronic health records (EHRs) are commonly subject to left truncation, a type of selection bias induced due to patients needing to survive long enough to satisfy certain entry criteria. Standard methods to adjust…

Methodology · Statistics 2022-03-01 Arjun Sondhi

We propose a semiparametric framework for causal inference with right-censored survival outcomes and many weak invalid instruments, motivated by Mendelian randomization in biobank studies where classical methods may fail. We adopt an…

Methodology · Statistics 2025-10-06 Qiushi Bu , Wen Su , Xingqiu Zhao , Zhonghua Liu

Inference of the conditional dependence structure is challenging when many covariates are present. In numerous applications, only a low-dimensional projection of the covariates influences the conditional distribution. The smallest subspace…

Methodology · Statistics 2025-05-05 Thomas Nagler , Gerda Claeskens , Irène Gijbels

In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest: it allows for instance to derive quantiles estimators or other non linear parameters derived from the cdf. We consider the case where the…

Methodology · Statistics 2014-04-14 Sandrine Casanova , Eve Leconte

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

Econometrics · Economics 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida