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Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

Methodology · Statistics 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

Under a single-index regression assumption, we introduce a new semiparametric procedure to estimate a conditional density of a censored response. The regression model can be seen as a generalization of Cox regression model and also as a…

Statistics Theory · Mathematics 2009-03-22 Olivier Bouaziz , Olivier Lopez

The change-plane Cox model is a popular tool for the subgroup analysis of survival data. Despite the rich literature on this model, there has been limited investigation into the asymptotic properties of the estimators of the…

Statistics Theory · Mathematics 2023-02-14 Shota Takeishi

Interval-censored data, in which the event time is only known to lie in some time interval, arise commonly in practice; for example, in a medical study in which patients visit clinics or hospitals at pre-scheduled times, and the events of…

Methodology · Statistics 2017-07-21 Wei Fu , Jeffrey S. Simonoff

We propose a method to quantify uncertainty around individual survival distribution estimates using right-censored data, compatible with any survival model. Unlike classical confidence intervals, the survival bands produced by this method…

Methodology · Statistics 2025-12-18 Matteo Sesia , Vladimir Svetnik

We propose a general index model for survival data, which generalizes many commonly used semiparametric survival models and belongs to the framework of dimension reduction. Using a combination of geometric approach in semiparametrics and…

Statistics Theory · Mathematics 2017-10-17 Ge Zhao , Yanyuan Ma , Wenbin Lu

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

Methodology · Statistics 2022-10-07 Emil Aas Stoltenberg

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen

Survival analysis is an important research topic with applications in healthcare, business, and manufacturing. One essential tool in this area is the Cox proportional hazards (CPH) model, which is widely used for its interpretability,…

Machine Learning · Computer Science 2024-10-28 Jiachang Liu , Rui Zhang , Cynthia Rudin

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

Applications · Statistics 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

The Cox regression, a semi-parametric method of survival analysis, is extremely popular in biomedical applications. The proportional hazards assumption is a key requirement in the Cox model. To accommodate non-proportional hazards, we…

Methodology · Statistics 2022-06-13 Alexander Begun , Elena Kulinskaya

Proportional mean residual life model is studied for analysing survival data from the case-cohort design. To simultaneously estimate the regression parameters and the baseline mean residual life function, weighted estimating equations based…

Statistics Theory · Mathematics 2019-01-18 Huijuan Ma , Jianhua Shi , Yong Zhou

We propose a constrained maximum partial likelihood estimator for dimension reduction in integrative (e.g., pan-cancer) survival analysis with high-dimensional covariates. We assume that for each population in the study, the hazard function…

Methodology · Statistics 2023-04-27 Aaron J. Molstad , Rohit K. Patra

A comprehensive, unified approach to modeling arbitrarily censored spatial survival data is presented for the three most commonly-used semiparametric models: proportional hazards, proportional odds, and accelerated failure time. Unlike many…

Applications · Statistics 2017-07-04 Haiming Zhou , Timothy Hanson

Survival analysis is a hotspot in statistical research for modeling time-to-event information with data censorship handling, which has been widely used in many applications such as clinical research, information system and other fields with…

Machine Learning · Computer Science 2018-11-14 Kan Ren , Jiarui Qin , Lei Zheng , Zhengyu Yang , Weinan Zhang , Lin Qiu , Yong Yu

Predicting an individual's risk of experiencing a future clinical outcome is a statistical task with important consequences for both practicing clinicians and public health experts. Modern observational databases such as electronic health…

The Cox proportional hazard model is one of the most popular tools in analyzing time-to-event data in public health studies. When outcomes observed in clinical data from different regions yield a varying pattern correlated with location, it…

Applications · Statistics 2020-02-20 Yishu Xue , Elizabeth D. Schifano , Guanyu Hu

Motivated by multi-center biomedical studies that cannot share individual data due to privacy and ownership concerns, we develop communication-efficient iterative distributed algorithms for estimation and inference in the high-dimensional…

Methodology · Statistics 2024-06-25 Pierre Bayle , Jianqing Fan , Zhipeng Lou

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

Statistics Theory · Mathematics 2013-02-04 Chenlei Leng , Xingwei Tong

Reliable uncertainty quantification is essential in survival prediction, particularly in clinical settings where erroneous decisions carry high risk. Conformal prediction has attracted substantial attention as it offers a model-agnostic…

Methodology · Statistics 2025-12-04 Jaeyoung Shin , Chi Hyun Lee , Sangwook Kang
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