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With known cause of death (CoD), competing risk survival methods are applicable in estimating disease-specific survival. Relative survival analysis may be used to estimate disease-specific survival when cause of death is either unknown or…

Methodology · Statistics 2021-12-10 Reuben Adatorwovor , Aurelien Latouche , Jason P. Fine

We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

Applications · Statistics 2020-09-02 Denise Rava , Ronghui Xu

Medical practitioners use survival models to explore and understand the relationships between patients' covariates (e.g. clinical and genetic features) and the effectiveness of various treatment options. Standard survival models like the…

Machine Learning · Statistics 2018-03-09 Jared Katzman , Uri Shaham , Jonathan Bates , Alexander Cloninger , Tingting Jiang , Yuval Kluger

The case-cohort design allows analysis of multiple endpoints and only requires covariates to be measured for cases and non-cases in a random subcohort from the cohort. Stratification of subcohort sampling and weight calibration increase…

Applications · Statistics 2024-02-15 Lola Etievant , Mitchell H. Gail

Scalability of statistical estimators is of increasing importance in modern applications and dimension reduction is often used to extract relevant information from data. A variety of popular dimension reduction approaches can be framed as…

Machine Learning · Statistics 2013-11-07 Stoyan Georgiev , Sayan Mukherjee

This paper considers the problem of semi-parametric proportional hazards model fitting for interval, left and right censored survival times. We adopt a more versatile penalized likelihood method to estimate the baseline hazard and the…

Methodology · Statistics 2019-04-16 Jun Ma , Dominique-Laurent Couturier , Stephane Heritier , Ian Marschner

We study the variable selection problem in survival analysis to identify the most important factors affecting survival time. Our method incorporates prior knowledge of mutual correlations among variables, represented through a graph. We…

Statistics Theory · Mathematics 2025-04-25 Liyan Xie , Xi He , Pinar Keskinocak , Yao Xie

We consider two minimal mathematical models for cancer dynamics and self-adaptation. We aim to capture the interplay between the rapid progression of cancer growth and the possibility to leverage and enhance self-adaptive defense mechanisms…

Adaptation and Self-Organizing Systems · Physics 2025-03-27 Christian Kuehn

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

Statistics Theory · Mathematics 2016-01-25 Ben Sherwood , Lan Wang

Modern bio-technologies have produced a vast amount of high-throughput data with the number of predictors far greater than the sample size. In order to identify more novel biomarkers and understand biological mechanisms, it is vital to…

Machine Learning · Statistics 2018-05-18 Kevin He , Jian Kang , Hyokyoung Grace Hong , Ji Zhu , Yanming Li , Huazhen Lin , Han Xu , Yi Li

A comprehensive, unified approach to modeling arbitrarily censored spatial survival data is presented for the three most commonly-used semiparametric models: proportional hazards, proportional odds, and accelerated failure time. Unlike many…

Applications · Statistics 2017-07-04 Haiming Zhou , Timothy Hanson

In epidemiological or demographic studies, with variable age at onset, a typical quantity of interest is the incidence of a disease (for example the cancer incidence). In these studies, the individuals are usually highly heterogeneous in…

Statistics Theory · Mathematics 2025-05-20 Vivien Goepp , Jean-Christophe Thalabard , Grégory Nuel , Olivier Bouaziz

We propose a novel deep learning approach to nonparametric statistical inference for the conditional hazard function of survival time with right-censored data. We use a deep neural network (DNN) to approximate the logarithm of a conditional…

Methodology · Statistics 2024-10-24 Wen Su , Kin-Yat Liu , Guosheng Yin , Jian Huang , Xingqiu Zhao

Survival analysis is a type of semi-supervised ranking task where the target output (the survival time) is often right-censored. Utilizing this information is a challenge because it is not obvious how to correctly incorporate these censored…

Machine Learning · Computer Science 2018-06-12 Margaux Luck , Tristan Sylvain , Joseph Paul Cohen , Heloise Cardinal , Andrea Lodi , Yoshua Bengio

The additive hazards model specifies the effect of covariates on the hazard in an additive way, in contrast to the popular Cox model, in which it is multiplicative. As non-parametric model, it offers a very flexible way of modeling…

Methodology · Statistics 2022-01-24 Chengyuan Lu , Jelle Goeman , Hein Putter

One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

Longitudinal and high-dimensional measurements have become increasingly common in biomedical research. However, methods to predict survival outcomes using covariates that are both longitudinal and high-dimensional are currently missing. In…

Survival analysis can sometimes involve individuals who will not experience the event of interest, forming what is known as the cured group. Identifying such individuals is not always possible beforehand, as they provide only right-censored…

Methodology · Statistics 2024-01-03 Jinqing Li , Jun Ma

In applications involving ordinal predictors, common approaches to reduce dimensionality are either extensions of unsupervised techniques such as principal component analysis, or variable selection procedures that rely on modeling the…

Statistics Theory · Mathematics 2017-10-13 Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

The Cox proportional hazards model is widely used in survival analysis to model time-to-event data. However, it faces significant computational challenges in the era of large-scale data, particularly when dealing with time-dependent…

Methodology · Statistics 2025-01-14 Miaomiao Su , Ruoyu Wang