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This paper proposes a new test for the comparison of conditional quantile curves when the outcome of interest, typically a duration, is subject to right censoring. The test can be applied both in the case of two independent samples and for…

Methodology · Statistics 2023-02-08 Lorenzo Tedesco , Ingrid Van Keilegom

The conditional survival function of a time-to-event outcome subject to censoring and truncation is a common target of estimation in survival analysis. This parameter may be of scientific interest and also often appears as a nuisance in…

Methodology · Statistics 2024-08-20 Charles J. Wolock , Peter B. Gilbert , Noah Simon , Marco Carone

The proportional hazards (PH) model is arguably one of the most popular models used to analyze time to event data arising from clinical trials and longitudinal studies, among many others. In many such studies, the event time of interest is…

Easy-to-interpret effect estimands are highly desirable in survival analysis. In the competing risks framework, one good candidate is the restricted mean time lost (RMTL). It is defined as the area under the cumulative incidence function up…

Methodology · Statistics 2024-09-13 Merle Munko , Dennis Dobler , Marc Ditzhaus

The likelihood function for a competing-risks model with one fatal and one non-fatal event is proposed. A bivariate Weibull using the likelihood function is applied to the Stanford Heart Transplant Data.

Statistics Theory · Mathematics 2007-06-13 Cheng K. Lee

An important task in health research is to characterize time-to-event outcomes such as disease onset or mortality in terms of a potentially high-dimensional set of risk factors. For example, prospective cohort studies of Alzheimer's disease…

Methodology · Statistics 2024-01-12 Harrison T. Reeder , Sebastien Haneuse , Kyu Ha Lee

In survival studies, classical inferences for left-truncated data require quasi-independence, a property that the joint density of truncation time and failure time is factorizable into their marginal densities in the observable region. The…

Methodology · Statistics 2019-04-16 Young-Geun Choi , Wei-Yann Tsai , Myunghee Cho Paik

We propose a class of transformation hazard models for right-censored failure time data. It includes the proportional hazards model (Cox) and the additive hazards model (Lin and Ying) as special cases. Due to the requirement of a…

Statistics Theory · Mathematics 2007-06-13 Gousheng Yin , Joseph G. Ibrahim

This paper presents a conformal prediction procedure to generate two-sided or one-sided prediction intervals for survival times in the presence of right censoring. Specifically, the method provides two-sided predictive bounds for…

Methodology · Statistics 2025-06-23 Chris Holmes , Ariane Marandon

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

Methodology · Statistics 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

In many public health problems, an important goal is to identify the effect of some treatment/intervention on the risk of failure for the whole population. A marginal proportional hazards regression model is often used to analyze such an…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

Methodology · Statistics 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

Estimating average treatment effects from observational data is challenging under practical violations of the positivity assumption. Targeted Maximum Likelihood Estimators (TMLEs) are widely used because of their double robustness and…

Methodology · Statistics 2026-04-28 Yichen Xu , Susan Gruber , Mark J. van der Laan

Paired comparison data considered in this paper originate from the comparison of a large number N of individuals in couples. The dataset is a collection of results of contests between two individuals when each of them has faced n opponents,…

Statistics Theory · Mathematics 2020-02-14 Roland Diel , Sylvain Le Corff , Matthieu Lerasle

In reliability and life data analysis, the Weibull distribution is widely used to accommodate more data characteristics by changing the values of the parameters. We frequently observe many zeros or close to zero data points in reliability…

Methodology · Statistics 2022-06-06 Sumangal Bhattacharya , Ishapathik Das , Muralidharan Kunnummal

This paper is devoted to robust estimation based on dual divergences estimators for parametric models in the framework of right censored data. We give limit laws of the proposed estimators and examine their asymptotic properties through a…

Statistics Theory · Mathematics 2011-06-15 Mohamed Cherfi

Competing risk models are survival models with several events of interest acting in competition and whose occurrence is only observed for the event that occurs first in time. This paper presents a Bayesian approach to these models in which…

We present a unified parametric framework for modal regression applicable to continuous positive distributions, with explicit support for right-censored observations. The key contribution is a systematic analytical reparameterization of…

Methodology · Statistics 2026-03-10 Christian E. Galarza , Víctor H. Lachos

Growing-dimensional data with likelihood unavailable are often encountered in various fields. This paper presents a penalized exponentially tilted likelihood (PETL) for variable selection and parameter estimation for growing dimensional…

Statistics Theory · Mathematics 2017-01-09 Nian-Sheng Tang , Xiao-Dong Yan , Pu-Ying Zhao

When modelling competing risks survival data, several techniques have been proposed in both the statistical and machine learning literature. State-of-the-art methods have extended classical approaches with more flexible assumptions that can…