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Penalized estimation principle is fundamental to high-dimensional problems. In the literature, it has been extensively and successfully applied to various models with only structural parameters. As a contrast, in this paper, we apply this…

统计理论 · 数学 2017-08-03 Jianqing Fan , Runlong Tang , Xiaofeng Shi

Cox's proportional hazards model is one of the most popular statistical models to evaluate associations of exposure with a censored failure time outcome. When confounding factors are not fully observed, the exposure hazard ratio estimated…

统计方法学 · 统计学 2022-01-04 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

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…

统计理论 · 数学 2007-06-13 Gousheng Yin , Joseph G. Ibrahim

In many semiparametric models that are parameterized by two types of parameters---a Euclidean parameter of interest and an infinite-dimensional nuisance parameter---the two parameters are bundled together, that is, the nuisance parameter is…

统计理论 · 数学 2012-03-13 Ying Ding , Bin Nan

The purpose of this article is to develop a general parametric estimation theory that allows the derivation of the limit distribution of estimators in non-regular models where the true parameter value may lie on the boundary of the…

统计理论 · 数学 2022-11-28 Junichiro Yoshida , Nakahiro Yoshida

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

统计方法学 · 统计学 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

The best known methods for estimating hazard rate functions in survival analysis models are either purely parametric or purely nonparametric. The parametric ones are sometimes too biased while the nonparametric ones are sometimes too…

统计方法学 · 统计学 2026-02-20 Nils Lid Hjort

Left censoring can occur with relative frequency when analysing recurrent events in epidemiological studies, especially observational ones. Concretely, the inclusion of individuals that were already at risk before the effective initiation…

统计方法学 · 统计学 2021-02-24 Gilma Hernández-Herrera , David Moriña , Albert Navarro

We extend the theory from Fan and Li (2001) on penalized likelihood-based estimation and model-selection to statistical and econometric models which allow for non-negativity constraints on some or all of the parameters, as well as…

计量经济学 · 经济学 2023-02-07 Heino Bohn Nielsen , Anders Rahbek

In medical and epidemiological studies, one of the most common settings is studying the effect of a treatment on a time-to-event outcome, where the time-to-event might be censored before end of study. A common parameter of interest in such…

统计方法学 · 统计学 2024-02-15 Guilherme W. F. Barros , Jenny Häggström

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

机器学习 · 计算机科学 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

统计方法学 · 统计学 2025-07-03 Daphné Aurouet , Valentin Patilea

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

统计方法学 · 统计学 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

机器学习 · 统计学 2020-11-06 Denise Rava , Jelena Bradic

Estimating the parameters of max-stable parametric models poses significant challenges, particularly when some parameters lie on the boundary of the parameter space. This situation arises when a subset of variables exhibits extreme values…

统计方法学 · 统计学 2026-04-08 Anas Mourahib , Anna Kiriliouk , Johan Segers

Adaptive experimentation enables efficient estimation of causal effects, but existing methods are not designed for survival data with censoring, where event times are only partially observed (e.g., overall survival in cancer trials but with…

机器学习 · 计算机科学 2026-05-19 Yuxin Wang , Dennis Frauen , Jonas Schweisthal , Maresa Schröder , Emil Javurek , Stefan Feuerriegel

In this study, we address the challenge of survival analysis within heterogeneous patient populations, where traditional reliance on a single regression model such as the Cox proportional hazards (Cox PH) model often falls short.…

统计方法学 · 统计学 2025-04-15 Ahmad Talafha

Structural Nested Mean Models (SNMMs) are useful for causal inference of treatment effects in longitudinal observational studies. Most existing works assume that the data are collected at pre-fixed time points for all subjects, which,…

统计方法学 · 统计学 2020-01-13 Shu Yang

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

机器学习 · 计算机科学 2023-12-12 Chris Solomou

Although treatment effects can be estimated from observed outcome distributions obtained from proper randomization in clinical trials, covariate adjustment is recommended to increase precision. For important treatment effects, such as odds…

统计方法学 · 统计学 2025-07-03 Susanne Dandl , Torsten Hothorn