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相关论文: On the implications of proportional hazards assump…

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A typical situation in competing risks analysis is that the researcher is only interested in a subset of risks. This paper considers a depending competing risks model with the distribution of one risk being a parametric or semi-parametric…

统计方法学 · 统计学 2022-05-13 Simon M. S. Lo , Ralf A. Wilke

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

统计理论 · 数学 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė

For time-to-event data with finitely many competing risks, the proportional hazards model has been a popular tool for relating the cause-specific outcomes to covariates [Prentice et al. Biometrics 34 (1978) 541--554]. This article studies…

统计理论 · 数学 2009-03-04 Yanqing Sun , Peter B. Gilbert , Ian W. McKeague

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

统计方法学 · 统计学 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

It is emphasised that for epidemiological studies where disease incidence is rare, results from conventional proportional hazards models can often correctly estimate causal associations. The well-known "backdoor criteria" from…

统计方法学 · 统计学 2021-10-06 A. J. Webster

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

应用统计 · 统计学 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

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…

Copulas. We study the model risk of multivariate risk models in a comprehensive empirical study on Copula-GARCH models used for forecasting Value-at-Risk and Expected Shortfall. To determine whether model risk inherent in the forecasting of…

风险管理 · 定量金融 2021-09-24 Simon Fritzsch , Maike Timphus , Gregor Weiss

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

统计方法学 · 统计学 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

Single-index models or time-to-event models are frequently applied in empirical research. These models are non-identifiable in presence of unknown (dependent) censoring or competing risks and do not give informative results in empirical…

统计方法学 · 统计学 2026-03-25 Jia-Han Shih , Simon M. S. Lo , Ralf A. Wilke

The Proportional Hazards (PH) model is one of the most widely used models in survival analysis, typically assuming a log-linear relationship between covariates and the hazard function. However, in the context of spatial survival data, where…

统计方法学 · 统计学 2026-02-17 Lorenzo Tedesco , Francesco Finazzi

Time-to-event semi-competing risk endpoints may be correlated when both events are occurring on the same individual. These events and the association between them may also be influenced by individual characteristics. In this paper, we…

统计方法学 · 统计学 2023-04-07 Yinghui Wei , Malgorzata Wojtys , Lexy Sorrell , Peter Rowe

In the following, we introduce new proportional hazard (PH) processes, which are derived by a marginal transformation applied to complementary power function distribution (CPFD) processes. Also, we introduce two new Pareto processes, which…

应用统计 · 统计学 2024-03-12 Barry C. Arnold , B. G. Manjunath , S. Sachdeva

Semi-parametric survival analysis methods like the Cox Proportional Hazards (CPH) regression (Cox, 1972) are a popular approach for survival analysis. These methods involve fitting of the log-proportional hazard as a function of the…

机器学习 · 计算机科学 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

Combining patient-level data from clinical trials can connect rare phenomena with clinical endpoints, but statistical techniques applied to a single trial may become problematical when trials are pooled. Estimating the hazard of a binary…

Most papers implicitly assume competing risks to be induced by residual cohort heterogeneity, i.e. heterogeneity that is not captured by the recorded covariates. Based on this observation we develop a generic statistical description of…

Harrel's concordance index is a commonly used discrimination metric for survival models, particularly for models where the relative ordering of the risk of individuals is time-independent, such as the proportional hazards model. There are…

统计方法学 · 统计学 2023-06-27 A. Gandy , T. J. Matcham

Aalen's linear hazard rate regression model is a useful and increasingly popular alternative to Cox' multiplicative hazard rate model. It postulates that an individual has hazard rate function $h(s)=z_1\alpha_1(s)+\cdots+z_r\alpha_r(s)$ in…

统计方法学 · 统计学 2026-03-04 Nils Lid Hjort , Emil Aas Stoltenberg

Competing risk data appear widely in modern biomedical research. Cause-specific hazard models are often used to deal with competing risk data in the past two decades. There is no current study on the kernel likelihood method for the…

统计方法学 · 统计学 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

The hazard function is central to the formulation of commonly used survival regression models such as the proportional hazards and accelerated failure time models. However, these models rely on a shared baseline hazard, which, when…

统计方法学 · 统计学 2025-12-19 J. A. Christen , F. J. Rubio
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