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This paper compares six different parameter estimation methods for shared frailty models via a series of simulation studies. A shared frailty model is a survival model that incorporates a random effect term, where the frailties are common…

Methodology · Statistics 2023-11-21 Tingxuan Wu , Cindy Feng , Longhai Li

Competing risk analysis considers event times due to multiple causes, or of more than one event types. Commonly used regression models for such data include 1) cause-specific hazards model, which focuses on modeling one type of event while…

Applications · Statistics 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

We develop a functional proportional hazards mixture cure (FPHMC) model with scalar and functional covariates measured at the baseline. The mixture cure model, useful in studying populations with a cure fraction of a particular event of…

Methodology · Statistics 2023-03-31 Rahul Ghosal , Marcos Matabuena , Jiajia Zhang

When analyzing time-to-event data, it often happens that some subjects do not experience the event of interest. Survival models that take this feature into account (called `cure models') have been developed in the presence of covariates.…

Statistics Theory · Mathematics 2019-09-19 Mikael Escobar-Bach , Ingrid Van Keilegom

We propose a novel method for predicting time-to-event in the presence of cure fractions based on flexible survivals models integrated into a deep neural network framework. Our approach allows for non-linear relationships and…

Machine Learning · Statistics 2024-11-11 Victor Medina-Olivares , Stefan Lessmann , Nadja Klein

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the new distribution (MBUW). But in small to moderate sample…

Methodology · Statistics 2025-02-17 Iman Mohammed Attia

Current status data abounds in the field of epidemiology and public health, where the only observable data for a subject is the random inspection time and the event status at inspection. Motivated by such a current status data from a…

Methodology · Statistics 2020-04-24 Tong Wang , Kejun He , Wei Ma , Dipankar Bandyopadhyay , Samiran Sinha

Covariance matrices arise naturally in different scientific fields, including finance, genomics, and neuroscience, where they encode dependence structures and reveal essential features of complex multivariate systems. In this work, we…

Methodology · Statistics 2026-02-17 The Tien Mai , Zhi Zhao

The progression of chronic diseases often follows highly variable trajectories, and the underlying factors remain poorly understood. Standard mixed-effects models typically represent inter-patient differences as random deviations around a…

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…

Methodology · Statistics 2025-01-14 Deniz Inan , Ufuk Beyaztas , Carmen D. Tekwe , Xiwei Chen , Roger S. Zoh

In this paper, a long-term survival model under competing risks is considered. The unobserved number of competing risks is assumed to follow a negative binomial distribution that can capture both over- and under-dispersion. Considering the…

Methodology · Statistics 2021-07-22 Suvra Pal

We propose a new continuous-discrete mixture regression model which is useful for describing highly censored data. We motivate our investigation based on a case-study in biometry related to measles vaccines in Haiti. In this case-study, the…

Methodology · Statistics 2020-07-27 Mário F. Desousa , Helton Saulo , Manoel Santos-Neto , Víctor Leiva

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

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

Methodology · Statistics 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Effective understanding of a disease such as cancer requires fusing multiple sources of information captured across physical scales by multimodal data. In this work, we propose a novel feature embedding module that derives from canonical…

Machine Learning · Computer Science 2021-03-10 Vaishnavi Subramanian , Tanveer Syeda-Mahmood , Minh N. Do

The purpose of this paper is to construct confidence intervals for the regression coefficients in the Fine-Gray model for competing risks data with random censoring, where the number of covariates can be larger than the sample size. Despite…

Methodology · Statistics 2019-04-10 Jue Hou , Jelena Bradic , Ronghui Xu

We propose a comprehensive Bayesian joint modeling framework for zero-inflated longitudinal count data and time-to-event outcomes, explicitly incorporating a cure fraction to account for subjects who never experience the event. The…

Methodology · Statistics 2025-08-27 Taban Baghfalaki , Mojtaba Ganjali

A class of multivariate mixed survival models for continuous and discrete time with a complex covariance structure is introduced in a context of quantitative genetic applications. The methods introduced can be used in many applications in…

Applications · Statistics 2014-05-06 Rafael Pimentel Maia , Per Madsen , Rodrigo Labouriau

We present a novel methodology for integrating high resolution longitudinal data with the dynamic prediction capabilities of survival models. The aim is two-fold: to improve the predictive power while maintaining interpretability of the…

Applications · Statistics 2024-03-07 Giacomo Lancia , Meri Varkila , Olaf Cremer , Cristian Spitoni

Predicting patient features from single-cell data can help identify cellular states implicated in health and disease. Linear models and average cell type expressions are typically favored for this task for their efficiency and robustness,…

Machine Learning · Computer Science 2024-03-11 Jan P. Engelmann , Alessandro Palma , Jakub M. Tomczak , Fabian J. Theis , Francesco Paolo Casale