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In the context of right-censored and interval-censored data we develop asymptotic formulas to compute pseudo-observations for the survival function and the Restricted Mean Survival Time (RMST). Those formulas are based on the original…

Statistics Theory · Mathematics 2023-02-07 Olivier Bouaziz

Robins 1997 introduced marginal structural models (MSMs), a general class of counterfactual models for the joint effects of time-varying treatment regimes in complex longitudinal studies subject to time-varying confounding. In his work,…

Methodology · Statistics 2020-07-27 Haben Michael , Yifan Cui , Scott Lorch , Eric Tchetgen Tchetgen

Discrete biomarkers derived as cell densities or counts from tissue microarrays and immunostaining are widely used to study immune signatures in relation to survival outcomes in cancer. Although routinely collected, these signatures are not…

In this article, we develop nonparametric inference methods for comparing survival data across two samples, which are beneficial for clinical trials of novel cancer therapies where long-term survival is a critical outcome. These therapies,…

Methodology · Statistics 2024-09-05 Yi-Cheng Tai , Weijing Wang , Martin T. Wells

When to initiate treatment on patients is an important problem in many medical studies such as AIDS and cancer. In this article, we formulate the treatment initiation time problem for time-to-event data and propose an optimal individualized…

Methodology · Statistics 2021-09-30 Xin Chen , Rui Song , Jiajia Zhang , Swann Arp Adams , Liuquan Sun , Wenbin Lu

Survival random forest is a popular machine learning tool for modeling censored survival data. However, there is currently no statistically valid and computationally feasible approach for estimating its confidence band. This paper proposes…

Methodology · Statistics 2022-04-27 Sarah Elizabeth Formentini , Wei Liang , Ruoqing Zhu

Ranked set sampling (RSS) is a cost-efficient study design that uses inexpensive baseline ranking to select a more informative subset of individuals for full measurement. While RSS is well known to improve precision over simple random…

Methodology · Statistics 2025-12-30 Nabil Awan , Richard J. Chappell

This paper considers robust modeling of the survival time for cancer patients. Accurate prediction can be helpful for developing therapeutic and care strategies. We propose a unified Expectation-Maximization approach combined with the…

Methodology · Statistics 2019-12-23 Yi Li , Muxuan Liang , Lu Mao , Sijian Wang

Popular parametric and semiparametric hazards regression models for clustered survival data are inappropriate and inadequate when the unknown effects of different covariates and clustering are complex. This calls for a flexible modeling…

Applications · Statistics 2021-03-16 Piyali Basak , Antonio R. Linero , Debajyoti SInha , Stuart Lipsitz

The mean residual life function is a key functional for a survival distribution. It has a practically useful interpretation as the expected remaining lifetime given survival up to a particular time point, and it also characterizes the…

Methodology · Statistics 2018-10-11 Valerie Poynor , Athanasios Kottas

We propose a Bayesian nonparametric model based on Markov Chain Monte Carlo (MCMC) methods for the joint reconstruction and prediction of discrete time stochastic dynamical systems, based on $m$-multiple time-series data, perturbed by…

Methodology · Statistics 2019-03-27 Spyridon J. Hatjispyros , Christos Merkatas

Proportional hazards are a common assumption when designing confirmatory clinical trials in oncology. With the emergence of immunotherapy and novel targeted therapies, departure from the proportional hazard assumption is not rare in…

Methodology · Statistics 2020-08-27 José L. Jiménez

Bayesian profile regression mixture models (BPRM) allow to assess a health risk in a multi-exposed population. These mixture models cluster individuals according to their exposure profile and their health risk. However, their results, based…

Methodology · Statistics 2025-12-30 Fendler Julie , Guihenneuc Chantal , Ancelet Sophie

We propose a Bayesian nonparametric mixture model for the reconstruction and prediction from observed time series data, of discretized stochastic dynamical systems, based on Markov Chain Monte Carlo methods (MCMC). Our results can be used…

Applications · Statistics 2017-10-03 Christos Merkatas , Konstantinos Kaloudis , Spyridon J. Hatjispyros

Patients with breast cancer tend to die from other diseases, so for studies that focus on breast cancer, a competing risks model is more appropriate. Considering subdistribution hazard ratio, which is used often, limited to model…

Methodology · Statistics 2023-11-21 Zhiyin Yu , Zhaojin Li , Chengfeng Zhang , Yawen Hou , Derun Zhou , Zheng Chen

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

Methodology · Statistics 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

Methodology · Statistics 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

Multistate process data are common in studies of chronic diseases such as cancer. These data are ideal for precision medicine purposes as they can be leveraged to improve more refined health outcomes, compared to standard survival outcomes,…

Methodology · Statistics 2022-11-28 Giorgos Bakoyannis

A completely nonparametric method for the estimation of mixture cure models is proposed. A nonparametric estimator of the incidence is extensively studied and a nonparametric estimator of the latency is presented. These estimators, which…

Methodology · Statistics 2024-01-31 Ana López-Cheda , Ricardo Cao , M. Amalia Jácome , Ingrid Van Keilegom

In the absence of data from a randomized trial, researchers often aim to use observational data to draw causal inference about the effect of a treatment on a time-to-event outcome. In this context, interest often focuses on the…

Methodology · Statistics 2021-06-15 Ted Westling , Alex Luedtke , Peter Gilbert , Marco Carone