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This paper presents a functional linear Cox regression model with frailty to tackle unobserved heterogeneity in survival data with functional covariates. While traditional Cox models are common, they struggle to incorporate frailty effects…

统计方法学 · 统计学 2025-01-14 Deniz Inan , Ufuk Beyaztas , Carmen D. Tekwe , Xiwei Chen , Roger S. Zoh

In survival analysis, Cox model is widely used for most clinical trial data. Alternatives include the additive hazard model, the accelerated failure time (AFT) model and a more general transformation model. All these models assume that the…

统计方法学 · 统计学 2016-03-24 Cheng Zheng , Ying Qing Chen

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

统计方法学 · 统计学 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

In areas of application, including actuarial science and demography, it is increasingly common to consider a time series of curves; an example of this is age-specific mortality rates observed over a period of years. Given that age can be…

应用统计 · 统计学 2020-09-29 Han Lin Shang

Cell lineage statistics is a powerful tool for inferring cellular parameters, such as division rate, death rate or the population growth rate. Yet, in practice such an analysis suffers from a basic problem: how should we treat incomplete…

种群与进化 · 定量生物学 2023-09-14 Arthur Genthon , Takashi Nozoe , Luca Peliti , David Lacoste

Improving health worldwide will require rigorous quantification of population-level trends in health status. However, global-level surveys are not available, forcing researchers to rely on fragmentary country-specific data of varying…

统计方法学 · 统计学 2014-05-20 Mariel M. Finucane , Christopher J. Paciorek , Goodarz Danaei , Majid Ezzati

In survival studies it is important to record the values of key longitudinal covariates until the occurrence of event of a subject. For this reason, it is essential to study the association between longitudinal and time-to-event outcomes…

统计方法学 · 统计学 2021-06-09 Khandoker Akib Mohammad , Yuichi Hirose , Yuan Yao , Budhi Surya

Epidemiologic studies and clinical trials with a survival outcome are often challenged by immortal time (IMT), a period of follow-up during which the survival outcome cannot occur because of the observed later treatment initiation. It has…

应用统计 · 统计学 2022-02-08 Jiping Wang , Peter Peduzzi , Michael Wininger , Shuangge Ma

In this work we check the occurrence of the Azbel assumption of mortality within the framework of a bit string model for biological ageing. We reproduced the observed feature of linear correspondence between the fitting parameters of the…

adap-org · 物理学 2008-02-03 A. Racco , M. Argollo de Menezes , T. J. P. Penna

The Cox proportional hazards model is the most widely used regression model in univariate survival analysis. Extensions of the Cox model to bivariate survival data, however, remain scarce. We propose two novel extensions based on a…

统计方法学 · 统计学 2025-11-12 Yael Travis-Lumer , Micha Mandel , Ido Didi Fabian , Rebecca A. Betensky , Malka Gorfine

While studying response trajectory, often the population of interest may be diverse enough to exist distinct subgroups within it and the longitudinal change in response may not be uniform in these subgroups. That is, the timeslope and/or…

统计方法学 · 统计学 2020-06-30 Madan Gopal Kundu , Jaroslaw Harezlak

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

机器学习 · 统计学 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

Age-period-cohort analysis is mathematically intractable because of fundamental nonidentifiability of linear trends. However, some understanding can be gained in the context of individual problems.

应用统计 · 统计学 2009-07-16 Andrew Gelman

Mortality displacement is the concept that deaths are moved forward in time (e.g., a few days, several months, and years) by exposure from when they would occur without the exposure, which is common in environmental time-series studies.…

定量方法 · 定量生物学 2022-03-29 Honghyok Kim , Jong-Tae Lee , Roger D. Peng , Kelvin C. Fong , Michelle L. Bell

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

The analysis of complex longitudinal data such as COVID-19 deaths is challenging due to several inherent features: (i) Similarly-shaped profiles with different decay patterns; (ii) Unexplained variation among repeated measurements within…

Cluster-randomized trials (CRTs) are widely used to evaluate group-level interventions and increasingly collect multiple outcomes capturing complementary dimensions of benefit and risk. Investigators often seek a single global summary of…

统计方法学 · 统计学 2026-01-22 Xinyuan Chen , Fan Li

The decrease in the increase in death rates at old ages is a phenomenon that has repeatedly been discussed in demographic research. While mortality deceleration can be explained in the gamma-Gompertz model as an effect of selection in…

应用统计 · 统计学 2019-05-16 Marie Böhnstedt , Hein Putter , Nadine Ouellette , Gerda Claeskens , Jutta Gampe

The concept of a carrying capacity is essential in most models to prevent unlimited growth. Despite the large amount of deaths it introduces, the actual influence of the Verhulst term in simulations is often times not accounted for.…

种群与进化 · 定量生物学 2010-11-30 Chrysline Margus Pinol , Ronald Banzon

Insurance and annuity products covering several lives require the modelling of the joint distribution of future lifetimes. In the interest of simplifying calculations, it is common in practice to assume that the future lifetimes among a…

风险管理 · 定量金融 2016-01-19 François Dufresne , Enkelejd Hashorva , Gildas Ratovomirija , Youssouf Toukourou
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