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This paper proposes a modelling strategy to infer the impact of a covariate on the dependence structure of right-censored clustered event time data. The joint survival function of the event times is modelled using a parametric conditional…

统计方法学 · 统计学 2016-06-07 Candida Geerdens , Elif Fidan Acar , Paul Janssen

Censoring is the central problem in survival analysis where either the time-to-event (for instance, death), or the time-tocensoring (such as loss of follow-up) is observed for each sample. The majority of existing machine learning-based…

机器学习 · 统计学 2024-07-22 Weijia Zhang , Chun Kai Ling , Xuanhui Zhang

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

统计方法学 · 统计学 2013-12-24 Bodhisattva Sen , Gongjun Xu

In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the Marshall-Olkin type model and studied some properties of…

统计理论 · 数学 2023-09-08 Mikael Escobar-Bach , Salima Helali

Copula modeling has gained much attention in many fields recently with the advantage of separating dependence structure from marginal distributions. In real data, however, serious ties are often present in one or multiple margins, which…

统计方法学 · 统计学 2022-12-15 Yan Li , Yang Li , Yichen Qin , Jun Yan

Although the independent censoring assumption is commonly used in survival analysis, it can be violated when the censoring time is related to the survival time, which often happens in many practical applications. To address this issue, we…

统计方法学 · 统计学 2024-08-28 Huazhen Yu , Lixin Zhang

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

The distribution-free method of conformal prediction (Vovk et al, 2005) has gained considerable attention in computer science, machine learning, and statistics. Candes et al. (2023) extended this method to right-censored survival data,…

统计方法学 · 统计学 2025-06-04 Jing Qin , Jin Piao , Jing Ning , Yu Shen

We study offline change-point estimation for time series data exhibiting nonlinear serial dependence. To address this problem, we propose a copula-based Markov chain model with Weibull marginal distributions, which is suitable for modeling…

统计方法学 · 统计学 2026-05-29 Li-Hsien Sun , Zong-Yuan Huang , Yi-Ling Huang , Chi-Yang Chiu , Ning Ning

Existing survival analysis techniques heavily rely on strong modelling assumptions and are, therefore, prone to model misspecification errors. In this paper, we develop an inferential method based on ideas from conformal prediction, which…

统计方法学 · 统计学 2023-04-25 Emmanuel J. Candès , Lihua Lei , Zhimei Ren

This paper investigates the (in)-consistency of various bootstrap methods for making inference on a change-point in time in the Cox model with right censored survival data. A criterion is established for the consistency of any bootstrap…

统计方法学 · 统计学 2013-08-01 Gongjun Xu , Bodhisattva Sen , Zhiliang Ying

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general -…

统计理论 · 数学 2020-08-24 Alexis Derumigny , Jean-David Fermanian

Conventional survival metrics, such as Harrell's concordance index (CI) and the Brier Score, rely on the independent censoring assumption for valid inference with right-censored data. However, in the presence of so-called dependent…

机器学习 · 统计学 2025-05-20 Christian Marius Lillelund , Shi-ang Qi , Russell Greiner

A characteristic feature of time-to-event data analysis is possible censoring of the event time. Most of the statistical learning methods for handling censored data are limited by the assumption of independent censoring, even if this can…

统计方法学 · 统计学 2022-10-27 Alise Danielle Midtfjord , Riccardo De Bin , Arne Bang Huseby

This paper introduces a copula-based model for independent but non-identically distributed data with heteroscedastic extremes marginal and changing tail dependence structures. We establish a unified framework for inference by proving the…

统计方法学 · 统计学 2025-02-25 Yifan Hu , Yanxi Hou

In this paper, we develop a comprehensive asymptotic and bootstrap theory for checkerboard-based estimation of lower and upper tail copulas under unknown marginal distributions. The estimator is constructed via local bilinear (checkerboard)…

统计方法学 · 统计学 2026-05-20 Mayukh Choudhury , Debraj Das , Sujit Ghosh

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

统计理论 · 数学 2013-02-04 Chenlei Leng , Xingwei Tong

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

计量经济学 · 经济学 2022-12-02 Alexander Mayer , Dominik Wied

The restricted mean survival time is a clinically easy-to-interpret measure that does not require any assumption of proportional hazards. We focus on two ways to directly model the survival time and adjust the covariates. One is to…

统计方法学 · 统计学 2022-11-03 Keisuke Hanada , Junji Moriya , Masahiro Kojima
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