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Several gene-based association tests for time-to-event traits have been proposed recently, to detect whether a gene region (containing multiple variants), as a set, is associated with the survival outcome. However, for bivariate survival…

Applications · Statistics 2019-04-03 Yue Wei , Yi Liu , Wei Chen , Ying Ding

When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

Machine Learning · Statistics 2024-10-23 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

We describe here a new method to estimate copula measure. From N observations of two variables X and Y, we draw a huge number m of subsamples (size n<N), and we compute the joint ranks in these subsamples. Then, for each bivariate rank…

Methodology · Statistics 2007-09-26 Jérôme Collet

Handling highly dependent data is crucial in clinical trials, particularly in fields related to ophthalmology. Incorrectly specifying the dependency structure can lead to biased inferences. Traditionally, models rely on three fixed…

Methodology · Statistics 2025-09-30 Shuyi Liang , Takeshi Emura , Chang-Xing Ma , Yijing Xin , Xin-Wei Huang

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…

Methodology · Statistics 2023-04-25 Emmanuel J. Candès , Lihua Lei , Zhimei Ren

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

Methodology · Statistics 2018-01-09 Torsten Hothorn , Achim Zeileis

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

We propose a deep generative approach to nonparametric estimation of conditional survival and hazard functions with right-censored data. The key idea of the proposed method is to first learn a conditional generator for the joint conditional…

Statistics Theory · Mathematics 2022-05-20 Xingyu Zhou , Wen Su , Changyu Liu , Yuling Jiao , Xingqiu Zhao , Jian Huang

We consider the problem of testing whether a single coefficient is equal to zero in linear models when the dimension of covariates $p$ can be up to a constant fraction of sample size $n$. In this regime, an important topic is to propose…

Statistics Theory · Mathematics 2025-05-06 Kaiyue Wen , Tengyao Wang , Yuhao Wang

We propose a model for evolution aiming to reproduce statistical features of fossil data, in particular the distributions of extinction events, the distribution of species per genus and the distribution of lifetimes, all of which are known…

Populations and Evolution · Quantitative Biology 2008-06-06 Peter Klimek , Stefan Thurner , Rudolf Hanel

Let P represent the source population with complete data, containing covariate $\mathbf{Z}$ and response $T$, and Q the target population, where only the covariate $\mathbf{Z}$ is available. We consider a setting with both label shift and…

Methodology · Statistics 2025-06-27 Yuxiang Zong , Yanyuan Ma , Ingrid Van Keilegom

The purpose of this paper is twofold. First, we provide a novel characterization of independence of random vectors based on the checkerboard approximation to a multivariate copula. Using this result, we then propose a new family of tests of…

Statistics Theory · Mathematics 2019-06-07 José M. González-Barrios , Eduardo Gutiérrez-Peña , Juan D. Nieves , Raúl Rueda

Discrimination measures such as the concordance index and the cumulative-dynamic time-dependent area under the ROC-curve (AUC) are widely used in the medical literature for evaluating the predictive accuracy of a scoring rule which relates…

Methodology · Statistics 2025-08-12 Marie Skov Breum , Torben Martinussen

Auxiliary information can increase the efficiency of survey estimators through an assisting model when the model captures some of the relationship between the auxiliary data and the study variables. Despite their superior properties,…

Methodology · Statistics 2017-12-18 Kelly S. McConville , Daniell Toth

In this article, we study tests of independence for data with arbitrary distributions in the non-serial case, i.e., for independent and identically distributed random vectors, as well as in the serial case, i.e., for time series. These…

Methodology · Statistics 2023-06-13 Bouchra R. Nasri , Bruno N. Remillard

We present a joint copula-based model for insurance claims and sizes. It uses bivariate copulae to accommodate for the dependence between these quantities. We derive the general distribution of the policy loss without the restrictive…

Statistics Theory · Mathematics 2012-09-25 Nicole Kraemer , Eike C. Brechmann , Daniel Silvestrini , Claudia Czado

This paper introduces new effect parameters for factorial survival designs with possibly right-censored time-to-event data. In the special case of a two-sample design it coincides with the concordance or Wilcoxon parameter in survival…

Statistics Theory · Mathematics 2018-07-30 Dennis Dobler , Markus Pauly

The Gaussian copula is a powerful tool that has been widely used to model spatial and/or temporal correlated data with arbitrary marginal distributions. However, this kind of model can potentially be too restrictive since it expresses a…

Methodology · Statistics 2023-05-30 Moreno Bevilacqua , Eloy Alvarado , Christian Caamaño-Carrillo

When facing multivariate covariates, general semiparametric regression techniques come at hand to propose flexible models that are unexposed to the curse of dimensionality. In this work a semiparametric copula-based estimator for…

Methodology · Statistics 2016-03-25 Mickael De Backer , Anouar El Ghouch , Ingrid Van Keilegom

For the analysis of clustered survival data, two different types of models that take the association into account, are commonly used: frailty models and copula models. Frailty models assume that conditional on a frailty term for each…

Methodology · Statistics 2014-01-10 Leen Prenen , Roel Braekers , Luc Duchateau