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We consider continuous-time survival or more general event-history settings, where the aim is to infer the causal effect of a time-dependent treatment process. This is formalised as the effect on the outcome event of a (possibly…

Methodology · Statistics 2024-04-23 Kjetil Røysland , Pål Ryalen , Mari Nygård , Vanessa Didelez

The problem of how to best select variables for confounding adjustment forms one of the key challenges in the evaluation of exposure effects in observational studies, and has been the subject of vigorous recent activity in causal inference.…

Methodology · Statistics 2021-12-02 Kelly Van Lancker , Oliver Dukes , Stijn Vansteelandt

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

Statistics Theory · Mathematics 2007-10-22 Odile Pons

We discuss the role of misspecification and censoring on Bayesian model selection in the contexts of right-censored survival and concave log-likelihood regression. Misspecification includes wrongly assuming the censoring mechanism to be…

Methodology · Statistics 2021-11-15 David Rossell , Francisco Javier Rubio

This paper studies identification and inference in transformation models with endogenous censoring. Many kinds of duration models, such as the accelerated failure time model, proportional hazard model, and mixed proportional hazard model,…

Econometrics · Economics 2021-07-05 Shosei Sakaguchi

In the presence of right-censored data with covariates, the conditional Kaplan-Meier estimator (also known as the Beran estimator) consistently estimates the conditional survival function of the random follow-up for the event of interest.…

Machine Learning · Statistics 2023-09-15 Mikael Escobar-Bach , Olivier Goudet

The assumption of hazard rates being proportional in covariates is widely made in empirical research and extensive research has been done to develop tests of its validity. This paper does not contribute on this end. Instead, it gives new…

Methodology · Statistics 2025-08-15 Simon M. S. Lo , Ralf A. Wilke , Takeshi Emura

In this expository paper, we consider the problem of causal inference and efficient estimation for the counterfactual survivor function. This problem has previously been considered in the literature in several papers, each relying on the…

Methodology · Statistics 2025-10-02 Benjamin R. Baer , Ashkan Ertefaie , Robert L. Strawderman

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

Methodology · Statistics 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

Recent literature has found conditional transition rates to be a useful tool for avoiding Markov assumptions in multi-state models. While the estimation of univariate conditional transition rates has been extensively studied, the…

Statistics Theory · Mathematics 2024-08-30 Theis Bathke

We present a general principle for estimating a regression function nonparametrically, allowing for a wide variety of data filtering, for example, repeated left truncation and right censoring. Both the mean and the median regression cases…

Statistics Theory · Mathematics 2011-02-10 Oliver Linton , Enno Mammen , Jens Perch Nielsen , Ingrid Van Keilegom

In survival analysis, estimating the conditional survival function given predictors is often of interest. There is a growing trend in the development of deep learning methods for analyzing censored time-to-event data, especially when…

Machine Learning · Statistics 2025-03-13 Sehwan Kim , Rui Wang , Wenbin Lu

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

The study of survival data often requires taking proper care of the censoring mechanism that prohibits complete observation of the data. Under right censoring, only the first occurring event is observed: either the event of interest, or a…

Statistics Theory · Mathematics 2025-03-25 Myrthe D'Haen , Ingrid Van Keilegom , Anneleen Verhasselt

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

A central focus in survival analysis is examining how covariates influence survival time. These covariate effects are often found to be either time-varying, heterogeneous - such as being specific to patients, treatments, or subgroups - or…

Methodology · Statistics 2025-01-24 Niklas Hagemann , Thomas Kneib , Kathrin Möllenhoff

Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

The usual parametric models for survival data are of the following form. Some parametrically specified hazard rate $\alpha(s,\theta)$ is assumed for possibly censored random life times $X_1^0,\ldots,X_n^0$; one observes only…

Methodology · Statistics 2026-03-25 Nils Lid Hjort

We propose a novel approach for estimating mean survival time in the presence of censored data, in which we divide the population under study into survival-ordered fractions defined by a set of proportions, and compute the mean survival…

Methodology · Statistics 2018-10-18 Celia García-Pareja , Matteo Bottai

We propose a new class of semiparametric regression models of mean residual life for censored outcome data. The models, which enable us to estimate the expected remaining survival time and generalize commonly used mean residual life models,…

Statistics Theory · Mathematics 2020-11-10 Ge Zhao , Yanyuan Ma , Huazhen Lin , Yi Li