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Likelihood-free methods are useful for parameter estimation of complex models with intractable likelihood functions for which it is easy to simulate data. Such models are prevalent in many disciplines including genetics, biology, ecology…

Methodology · Statistics 2022-03-29 Christopher Drovandi , David T Frazier

We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and…

Applications · Statistics 2015-11-06 Francisco J. Rubio , Yili Hong

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

Methodology · Statistics 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

We propose a novel frailty model with change points applying random effects to a Cox proportional hazard model to adjust the heterogeneity between clusters. Because the frailty model includes random effects, the parameters are estimated…

Methodology · Statistics 2023-01-12 Masahiro Kojima , Shunichiro Orihara

Application of discrete-time survival methods for continuous-time survival prediction is considered. For this purpose, a scheme for discretization of continuous-time data is proposed by considering the quantiles of the estimated event-time…

Machine Learning · Statistics 2019-10-16 Håvard Kvamme , Ørnulf Borgan

Probabilistic graphical models that encode an underlying Markov random field are fundamental building blocks of generative modeling to learn latent representations in modern multivariate data sets with complex dependency structures. Among…

Methodology · Statistics 2025-04-03 Yujie Chen , Anindya Bhadra , Antik Chakraborty

In Survival Analysis, the observed lifetimes often correspond to individuals for which the event occurs within a specific calendar time interval. With such interval sampling, the lifetimes are doubly truncated at values determined by the…

Methodology · Statistics 2021-03-29 Carla Moreira , Jacobo de Uña-Álvarez , Ana Cristina Santos , Henrique Barros

The proportional hazards (PH) and accelerated failure time (AFT) models are the most widely used hazard structures for analysing time-to-event data. When the goal is to identify variables associated with event times, variable selection is…

Methodology · Statistics 2026-02-04 Yulong Chen , Jim Griffin , Francisco Javier Rubio

We propose a new method for the analysis of competing risks data with long term survivors. The proposed method enables us to estimate the overall survival probability and cure fraction simultaneously. We formulate the effect of covariates…

Statistics Theory · Mathematics 2022-04-28 Sudheesh K Kattumannil , Sreedevi E P , Sankaran P G

Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

Statistics Theory · Mathematics 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

Statistics Theory · Mathematics 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

Competing risks models can involve more than one time scale. A relevant example is the study of mortality after a cancer diagnosis, where time since diagnosis but also age may jointly determine the hazards of death due to different causes.…

Methodology · Statistics 2024-08-28 Angela Carollo , Hein Putter , Paul H. C. Eilers , Jutta Gampe

This paper develops a hybrid likelihood (HL) method based on a compromise between parametric and nonparametric likelihoods. Consider the setting of a parametric model for the distribution of an observation $Y$ with parameter $\theta$.…

Methodology · Statistics 2026-02-24 Nils Lid Hjort , Ian W. McKeague , Ingrid Van Keilegom

Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

Methodology · Statistics 2025-12-30 Nithisha Suryadevara , Vivek Reddy Srigiri

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

Semi-competing risks refers to the survival analysis setting where the occurrence of a non-terminal event is subject to whether a terminal event has occurred, but not vice versa. Semi-competing risks arise in a broad range of clinical…

Methodology · Statistics 2024-04-16 Harrison T. Reeder , Junwei Lu , Sebastien Haneuse

Survival analysis is widely deployed in a diverse set of fields, including healthcare, business, ecology, etc. The Cox Proportional Hazard (CoxPH) model is a semi-parametric model often encountered in the literature. Despite its popularity,…

Machine Learning · Computer Science 2025-05-29 Chengzhi Shi , Stratis Ioannidis

Fully Bayesian methods for Cox models specify a model for the baseline hazard function. Parametric approaches generally provide monotone estimations. Semi-parametric choices allow for more flexible patterns but they can suffer from…

Methodology · Statistics 2024-02-01 Elena Lázaro , Carmen Armero , Danilo Alvares

A model for cross-over designs with repeated measures within each period was developed. It is obtained using an extension of generalized estimating equations that includes a parametric component to model treatment effects and a…

Methodology · Statistics 2023-03-21 N. A. Cruz , O. O. Melo , C. A. Martinez

Shared frailty models have been proposed to accommodate unmeasured cluster-specific risk factors through the inclusion of a common latent frailty term. Among possible frailty distributions, the Gamma distribution is appealing due to its…

Methodology · Statistics 2026-05-13 Piotr Lewczuk , Oswaldo Gressani , Steven Abrams , Christel Faes
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