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In this paper we introduce a mixture cure model with a linear hazard rate regression model for the event times. Cure models are statistical models for event times that take into account that a fraction of the population might never…

Statistics Theory · Mathematics 2020-11-26 Emil Aas Stoltenberg

This research develops a Bayesian framework for analyzing failure times using the Weibull distribution, addressing challenges in prior selection due to the lack of conjugate priors and multi-dimensional sufficient statistics. We propose an…

Methodology · Statistics 2025-06-16 Tobias Oketch , Mohammad Sepehrifar

The Weibull distribution is a commonly adopted choice for modeling the survival of systems subject to maintenance over time. When only proxy indicators and censored observations are available, it becomes necessary to express the…

Machine Learning · Statistics 2025-12-11 Gabrielle Rives , Olivier Lopez , Nicolas Bousquet

In reliability and life data analysis, the Weibull distribution is widely used to accommodate more data characteristics by changing the values of the parameters. We frequently observe many zeros or close to zero data points in reliability…

Methodology · Statistics 2022-06-06 Sumangal Bhattacharya , Ishapathik Das , Muralidharan Kunnummal

Survival analysis is a statistical framework for modeling time-to-event data, particularly valuable in healthcare for predicting outcomes like patient discharge or recurrence. This study implements and compares several survival models -…

Understanding the factors that explain differences in survival times is an important issue for establishing policies to improve national health systems. Motivated by breast cancer data arising from the Surveillance Epidemiology and End…

Applications · Statistics 2015-05-13 Haiming Zhou , Timothy Hanson , Alejandro Jara , Jiajia Zhang

Clinical risk prediction models often underperform in real-world settings due to poor calibration, limited transportability, and subgroup disparities. These challenges are amplified in high-dimensional multimodal cancer datasets…

Machine Learning · Computer Science 2026-02-26 Toktam Khatibi

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…

The analysis of high dimensional survival data is challenging, primarily due to the problem of overfitting which occurs when spurious relationships are inferred from data that subsequently fail to exist in test data. Here we propose a novel…

Statistics Theory · Mathematics 2016-01-28 James E. Barrett , Anthony C. C. Coolen

This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

Methodology · Statistics 2022-05-10 Lea Kats , Malka Gorfine

Cluster analyses of high-dimensional data are often hampered by the presence of large numbers of variables that do not provide relevant information, as well as the perennial issue of choosing an appropriate number of clusters. These…

Computation · Statistics 2024-12-02 Emma Prevot , Rory Toogood , Filippo Pagani , Paul D. W. Kirk

In this paper, we propose a flexible cure rate model with frailty term in latent risk, which is obtained by incorporating a frailty term in risk function of latent competing causes. The number of competing causes of the event of interest…

Cure rate models address survival data in which a proportion of individuals will never experience the event of interest. Existing parametric approaches are predominantly based on finite mixtures, which impose restrictive assumptions on both…

Methodology · Statistics 2026-01-28 Martin Bladt , Jorge Yslas

The Mixture Cure (MC) models constitute an appropriate and easily interpretable method when studying a time-to-event variable in a population comprised of both susceptible and cured individuals. In literature, those models usually assume…

Methodology · Statistics 2024-12-10 Georgios Karakatsoulis

Breast cancer is a significant health concern affecting millions of women worldwide. Accurate survival risk stratification plays a crucial role in guiding personalised treatment decisions and improving patient outcomes. Here we present…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Raktim Kumar Mondol , Ewan K. A. Millar , Arcot Sowmya , Erik Meijering

With the availability of high dimensional genetic biomarkers, it is of interest to identify heterogeneous effects of these predictors on patients' survival, along with proper statistical inference. Censored quantile regression has emerged…

Methodology · Statistics 2021-07-26 Zhe Fei , Qi Zheng , Hyokyoung G. Hong , Yi Li

Estimating a covariance matrix is central to high-dimensional data analysis. Empirical analyses of high-dimensional biomedical data, including genomics, proteomics, microbiome, and neuroimaging, among others, consistently reveal strong…

Methodology · Statistics 2024-12-05 Yifan Yang , Chixiang Chen , Shuo Chen

We are concerned with the flexible parametric analysis of bivariate survival data. Elsewhere, we have extolled the virtues of the "power generalized Weibull" (PGW) distribution as an attractive vehicle for univariate parametric survival…

Methodology · Statistics 2019-01-11 M. C. Jones , Angela Noufaily , Kevin Burke

In lifetime data, like cancer studies, theremay be long term survivors, which lead to heavy censoring at the end of the follow-up period. Since a standard survival model is not appropriate to handle these data, a cure model is needed. In…

Methodology · Statistics 2024-01-31 Ana López-Cheda , M. Amalia Jácome , Ingrid Van Keilegom , Ricardo Cao

Survival analysis stands as a pivotal process in cancer treatment research, crucial for predicting patient survival rates accurately. Recent advancements in data collection techniques have paved the way for enhancing survival predictions by…

Machine Learning · Computer Science 2024-07-26 Linhao Qu , Dan Huang , Shaoting Zhang , Xiaosong Wang