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The proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used in different applications of survival analysis. Despite their popularity, these models are not suitable to handle lifetime…

统计方法学 · 统计学 2019-10-11 Fabio N. Demarqui , Vinicius D. Mayrink , Sujit K. Ghosh

The Yang and Prentice (YP) regression models have garnered interest from the scientific community due to their ability to analyze data whose survival curves exhibit intersection. These models include proportional hazards (PH) and…

We propose a new class of multivariate survival models based on archimedean copulas with margins modeled by the Yang and Prentice (YP) model. The Ali-Mikhail-Haq (AMH), Clayton, Frank, Gumbel-Hougaard (GH), and Joe copulas are employed to…

统计方法学 · 统计学 2022-03-08 W. D. R. Miranda Filho , F. N. Demarqui

The proportional hazards assumption in the commonly used Cox model for censored failure time data is often violated in scientific studies. Yang and Prentice (2005) proposed a novel semiparametric two-sample model that includes the…

统计方法学 · 统计学 2012-06-06 Guoqing Diao , Donglin Zeng , Song Yang

Software development innovations and advances in computing have enabled more complex and less costly computations in medical research (survival analysis), engineering studies (reliability analysis), and social sciences event analysis…

应用统计 · 统计学 2020-03-25 Renato Valladares Panaro

We introduce a general, flexible, parametric survival modelling framework which encompasses key shapes of hazard function (constant, increasing, decreasing, up-then-down, down-then-up), various common survival distributions (log-logistic,…

统计方法学 · 统计学 2019-01-11 Kevin Burke , M. C. Jones , Angela Noufaily

Semi-parametric survival analysis methods like the Cox Proportional Hazards (CPH) regression (Cox, 1972) are a popular approach for survival analysis. These methods involve fitting of the log-proportional hazard as a function of the…

机器学习 · 计算机科学 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

统计方法学 · 统计学 2017-03-24 Robson J. M. Machado , Ardo van den Hout

Parametric assumptions such as exponential distribution are commonly used in clinical trial design and analysis. However, violation of distribution assumptions can introduce biases in sample size and power calculations. Piecewise…

统计方法学 · 统计学 2026-05-14 Tianchen Xu , Rachael Wen , Wen Zhang

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

统计方法学 · 统计学 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

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…

应用统计 · 统计学 2017-07-04 Haiming Zhou , Timothy Hanson

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

统计理论 · 数学 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

The Cox model, which remains as the first choice in analyzing time-to-event data even for large datasets, relies on the proportional hazards (PH) assumption. When survival data arrive sequentially in chunks, a fast and minimally storage…

统计方法学 · 统计学 2020-11-24 Yishu Xue , HaiYing Wang , Jun Yan , Elizabeth D. Schifano

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…

统计方法学 · 统计学 2019-04-16 Jun Ma , Dominique-Laurent Couturier , Stephane Heritier , Ian Marschner

Polyhazard models are a class of flexible parametric models for modelling survival over extended time horizons. Their additive hazard structure allows for flexible, non-proportional hazards whose characteristics can change over time while…

统计方法学 · 统计学 2024-06-21 Luke Hardcastle , Samuel Livingstone , Gianluca Baio

In this paper, a family of neural network-based survival models is presented. The models are specified based on piecewise definitions of the hazard function and the density function on a partitioning of the time; both constant and linear…

机器学习 · 统计学 2024-03-28 Olov Holmer , Erik Frisk , Mattias Krysander

In decision modelling with time to event data, parametric models are often used to extrapolate the survivor function. One such model is the piecewise exponential model whereby the hazard function is partitioned into segments, with the…

统计方法学 · 统计学 2021-12-09 Philip Cooney , Arthur White

We consider a parametric modelling approach for survival data where covariates are allowed to enter the model through multiple distributional parameters, i.e., scale and shape. This is in contrast with the standard convention of having a…

统计方法学 · 统计学 2021-11-17 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

The proportional hazards model represents the most commonly assumed hazard structure when analysing time to event data using regression models. We study a general hazard structure which contains, as particular cases, proportional hazards,…

统计方法学 · 统计学 2018-05-24 Francisco J. Rubio , Laurent Remontet , Nicholas P. Jewell , Aurélien Belot

In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is…

统计理论 · 数学 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu
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