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Cross-sectional incidence estimation based on recency testing has become a widely used tool in HIV research. Recently, this method has gained prominence in HIV prevention trials to estimate the "placebo" incidence that participants might…

Methodology · Statistics 2024-12-18 Jianan Pan , Marlena Bannick , Fei Gao

We study the uniform convergence rate of the nonparametric maximum likelihood estimator (MLE) for the sub-distribution functions in the current status data with competing risks model. It is known that the MLE have $L^2$-norm convergence…

Statistics Theory · Mathematics 2019-09-16 Sergey V. Malov

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

We consider projection methods for the estimation of the cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only information available on the variable of…

Statistics Theory · Mathematics 2009-01-29 Elodie Brunel , Fabienne Comte

We introduce a self-censoring model for multivariate nonignorable nonmonotone missing data, where the missingness process of each outcome is affected by its own value and is associated with missingness indicators of other outcomes, while…

Methodology · Statistics 2022-10-03 Yilin Li , Wang Miao , Ilya Shpitser , Eric J. Tchetgen Tchetgen

We address causal estimation in semi-competing risks settings, where a non-terminal event may be precluded by one or more terminal events. We define a principal-stratification causal estimand for treatment effects on the non-terminal event,…

Methodology · Statistics 2025-06-27 Karina Gelis-Cadena , Michael Daniels , Juned Siddique

Competing risks occur in survival analysis when multiple causes of death are present. They play a prominent role in several domains extending beyond biostatistics to encompass epidemiology, actuarial sciences, and reliability theory. This…

Methodology · Statistics 2026-04-30 Claudio Del Sole , Antonio Lijoi , Igor Prünster

When analyzing time-to-event data, it often happens that some subjects do not experience the event of interest. Survival models that take this feature into account (called `cure models') have been developed in the presence of covariates.…

Statistics Theory · Mathematics 2019-09-19 Mikael Escobar-Bach , Ingrid Van Keilegom

Noncompliance and missing data often occur in randomized trials, which complicate the inference of causal effects. When both noncompliance and missing data are present, previous papers proposed moment and maximum likelihood estimators for…

Methodology · Statistics 2014-09-04 Hua Chen , Peng Ding , Zhi Geng , Xiao-Hua Zhou

Methods are lacking to handle the problem of survival analysis in the presence of an interval-censored covariate, specifically the case in which the conditional hazard of the primary event of interest depends on the occurrence of a…

We consider the conditional treatment effect for competing risks data in observational studies. While it is described as a constant difference between the hazard functions given the covariates, we do not assume specific functional forms for…

Applications · Statistics 2021-12-28 Denise Rava , Ronghui Xu

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

Methodology · Statistics 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

We analyze nonparametric estimators for the distribution function of the incubation time in the singly and doubly interval censoring model. The classical approach is to use parametric families like Weibull, log-normal or gamma distributions…

Statistics Theory · Mathematics 2024-01-02 Piet Groeneboom

Competing risks model time to first event and type of first event. An example from hospital epidemiology is the incidence of hospital-acquired infection, which has to account for hospital discharge of non-infected patients as a competing…

Methodology · Statistics 2013-04-09 Arthur Allignol , Jan Beyersmann , Thomas Gerds , Aurélien Latouche

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

Statistics Theory · Mathematics 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

Methodology · Statistics 2026-02-19 Jianle Sun , Kun Zhang

The limit distribution of the nonparametric maximum likelihood estimator for interval censored data with more than one observation time per unobservable observation, is still unknown in general. For the so-called separated case, where one…

Statistics Theory · Mathematics 2026-02-12 Piet Groeneboom

Under adaptive progressive Type-II censoring schemes, order restricted inference based on competing risks data is discussed in this article. The latent failure lifetimes for the competing causes are assumed to follow Weibull distributions,…

Methodology · Statistics 2022-05-10 Ayon Ganguly , Debanjan Mitra , Debasis Kundu

To improve nonparametric estimates of lifetime distributions, we propose using the increasing odds rate (IOR) model as an alternative to other popular, but more restrictive, ``adverse ageing'' models, such as the increasing hazard rate one.…

Methodology · Statistics 2022-12-13 Tommaso Lando , Idir Arab , Paulo Eduardo Oliveira

In situations with non-manipulable exposures, interventions can be targeted to shift the distribution of intermediate variables between exposure groups to define interventional disparity indirect effects. In this work, we present a…

Methodology · Statistics 2023-05-18 Helene C. W. Rytgaard , Amalie Lykkemark Møller , Thomas A. Gerds