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We present a functional data analysis approach for studying time-dependent, continuous glucose monitoring data with repeated measures for each individual in an experiment. After scaling the glucose concentration curves to the interval [0,…

Methodology · Statistics 2025-11-04 Nihan Acar-Denizli , Pedro Delicado

Survival analysis is a critical tool for the modelling of time-to-event data, such as life expectancy after a cancer diagnosis or optimal maintenance scheduling for complex machinery. However, current neural network models provide an…

Machine Learning · Statistics 2021-12-06 Fabio Luis de Mello , J Mark Wilkinson , Visakan Kadirkamanathan

A functional risk curve gives the probability of an undesirable event as a function of the value of a critical parameter of a considered physical system. In several applicative situations, this curve is built using phenomenological…

Statistics Theory · Mathematics 2017-07-26 Bertrand Iooss , Loïc Le Gratiet

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

Methodology · Statistics 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

A method is described for predicting extremes values beyond the span of historical data. The method - based on extending a curve fitted to a location- and scale-invariant variation of the double-logarithmic QQ-plot - is simple and…

Statistics Theory · Mathematics 2014-08-08 Allan McRobie

Over the last five decades, we have seen strong methodological advances in survival analysis, mainly in two separate strands: One strand is based on a parametric approach that assumes some response distribution. More prominent, however, is…

Methodology · Statistics 2025-03-25 Sandra Siegfried , Bálint Tamási , Torsten Hothorn

A widely used tool in the study of risk, insurance and extreme values is the mean excess plot. One use is for validating a generalized Pareto model for the excess distribution. This paper investigates some theoretical and practical aspects…

Probability · Mathematics 2010-06-03 Souvik Ghosh , Sidney I Resnick

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…

Applications · Statistics 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

Visualization is a key aspect of communicating the results of any study aiming to estimate causal effects. In studies with time-to-event outcomes, the most popular visualization approach is depicting survival curves stratified by the…

Methodology · Statistics 2023-08-07 Robin Denz , Nina Timmesfeld

We propose a test of the significance of a variable appearing on the Lasso path and use it in a procedure for selecting one of the models of the Lasso path, controlling the Family-Wise Error Rate. Our null hypothesis depends on a set A of…

Methodology · Statistics 2024-09-05 Matthieu Pluntz , Cyril Dalmasso , Pascale Tubert-Bitter , Ismail Ahmed

Seaman and Keogh (Biometrical Journal 2024) proposed a method for simulating data compatible with a marginal structural model (MSM) for the hazard of a survival time outcome. In this short report, I propose two extensions of this method.…

Methodology · Statistics 2025-08-22 Shaun R Seaman

In designed experiments and surveys, known laws or design feat ures provide checks on the most relevant aspects of a model and identify the target parameters. In contrast, in most observational studies in the health and social sciences, the…

Methodology · Statistics 2010-01-18 Sander Greenland

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…

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

Methodology · Statistics 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

Traffic microscopic simulation applications are a common tool in road transportation analysis and several attempts to perform road safety assessments have recently been carried out. However, these approaches often ignore causal…

Computational Engineering, Finance, and Science · Computer Science 2018-10-12 Carlos Lima Azevedo , João L. Cardoso , Moshe E. Ben-Akiva

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic…

Machine Learning · Statistics 2021-10-07 Donald K. K. Lee , Ningyuan Chen , Hemant Ishwaran

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…

Methodology · Statistics 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

Survival analysis appears in various fields such as medicine, economics, engineering, and business. Recent studies showed that the Ordinary Differential Equation (ODE) modeling framework unifies many existing survival models while the…

Machine Learning · Computer Science 2022-05-30 Seungjae Jung , Kyung-Min Kim

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen