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Survival analysis can sometimes involve individuals who will not experience the event of interest, forming what is known as the cured group. Identifying such individuals is not always possible beforehand, as they provide only right-censored…

Methodology · Statistics 2024-01-03 Jinqing Li , Jun Ma

Accurately predicting the time of occurrence of an event of interest is a critical problem in longitudinal data analysis. One of the main challenges in this context is the presence of instances whose event outcomes become unobservable after…

Machine Learning · Computer Science 2017-12-26 Ping Wang , Yan Li , Chandan K. Reddy

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

Methodology · Statistics 2025-04-08 Kwangho Kim

We consider estimation of the extreme value index and extreme quantiles for heavy-tailed data that are right-censored. We study a general procedure of removing low importance observations in tail estimators. This trimming procedure is…

Statistics Theory · Mathematics 2021-05-13 Martin Bladt , Hansjoerg Albrecher , Jan Beirlant

In survival analysis the random censorship model refers to censoring and survival times being independent of each other. It is one of the fundamental assumptions in the theory of survival analysis. We explain the reason for it being so…

Applications · Statistics 2017-03-06 Damjan Krstajic

Discrimination measures such as the concordance index and the cumulative-dynamic time-dependent area under the ROC-curve (AUC) are widely used in the medical literature for evaluating the predictive accuracy of a scoring rule which relates…

Methodology · Statistics 2025-08-12 Marie Skov Breum , Torben Martinussen

This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function…

Methodology · Statistics 2025-04-10 Félix Belzunce , Carolina Martínez-Riquelme , Jaime Valenciano

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

Methodology · Statistics 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw

The subject of tail estimation for randomly censored data from a heavy tailed distribution receives growing attention, motivated by applications for instance in actuarial statistics. The bias of the available estimators of the extreme value…

Methodology · Statistics 2017-05-19 Jan Beirlant , Gaonyalelwe Maribe , Andrehette Verster

Kaplan-Meier survival analysis represents the most objective measure of treatment efficacy in oncology, though subjected to potential bias, which is worrisome in an era of precision medicine. Independent of the bias inherent to the design…

Methodology · Statistics 2020-12-17 Enrique Barrajón , Laura Barrajón

This paper focuses on quantifying and estimating the predictive accuracy of prognostic models for time-to-event outcomes with competing events. We consider the time-dependent discrimination and calibration metrics, including the receiver…

Methodology · Statistics 2017-07-14 Cai Wu , Liang Li

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

In this paper, we consider a novel framework of positive-unlabeled data in which as positive data survival times are observed for subjects who have events during the observation time as positive data and as unlabeled data censoring times…

Methodology · Statistics 2020-11-30 Tomoki Toyabe , Yasuhiro Hasegawa , Takahiro Hoshino

We study inference for censored survival data where some covariates are distorted by some unknown functions of an observable confounding variable in a multiplicative form. Example of this kind of data in medical studies is the common…

Methodology · Statistics 2020-06-03 Yanyan Liu , Yuanshan Wu , Jing Zhang , Haibo Zhou

This letter introduces several doubly, triply, and quadruply robust estimators of the controlled direct effect. Among them, the triply and quadruply robust estimators are locally semiparametric efficient, and well suited to the use of…

Methodology · Statistics 2020-11-20 Xiang Zhou

We develop flexible multi-parameter regression survival models for interval censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multi-parameter Weibull regression…

Methodology · Statistics 2019-01-29 Defen Peng , Gilbert MacKenzie , Kevin Burke

It has been recently shown that nonparametric estimators of the additive regression function could be obtained in the presence of right censoring by coupling the marginal integration method with initial kernel-type Inverse Probability of…

Statistics Theory · Mathematics 2009-09-29 Mohammed Debbarh , Vivian Viallon

Although the Cox proportional hazards model is well established and extensively used in the analysis of survival data, the proportional hazards (PH) assumption may not always hold in practical scenarios. The class of semiparametric…

Methodology · Statistics 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu

In this paper, we propose some estimators for the parameters of a statistical model based on Kullback-Leibler divergence of the survival function in continuous setting. We prove that the proposed estimators are subclass of "generalized…

Statistics Theory · Mathematics 2016-07-01 Yaser Mehrali , Majid Asadi

When data are right-censored, i.e. some outcomes are missing due to a limited period of observation, survival analysis can compute the "time to event". Multiple classes of outcomes lead to a classification variant: predicting the most…

Artificial Intelligence · Computer Science 2024-06-21 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux