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Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

统计方法学 · 统计学 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

We propose a Bayesian nonparametric model for mixed-type bounded data, where some variables are compositional and others are interval-bounded. Compositional variables are non-negative and sum to a given constant, such as the proportion of…

统计方法学 · 统计学 2025-03-13 Rufeng Liu , Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

In this article we consider a simple step stress set up under the cumulative exposure model assumption. At each stress level the lifetime distribution of the experimental units are assumed to follow the generalized exponential distribution.…

应用统计 · 统计学 2017-07-18 Debashis Samanta , Debasis Kundu , Ayon Ganguly

Clinical trials involving novel immuno-oncology (IO) therapies frequently exhibit survival profiles which violate the proportional hazards assumption due to a delay in treatment effect, and in such settings, the survival curves in the two…

统计方法学 · 统计学 2021-02-02 Nicholas C. Henderson , Kijoeng Nam , Dai Feng

We consider nonparametric inference for event time distributions based on current status data. We show that in this scenario conventional mixture priors, including the popular Dirichlet process mixture prior, lead to biologically…

统计方法学 · 统计学 2020-09-23 Giorgio Paulon , Peter Müller , Victor G. Sal Y Rosas

This paper takes a quick look at Bayesian joint models (BJM) for longitudinal and survival data. A general formulation for BJM is examined in terms of the sampling distribution of the longitudinal and survival processes, the conditional…

统计方法学 · 统计学 2020-05-27 Carmen Armero

The stratified proportional hazards model represents a simple solution to account for heterogeneity within the data while keeping the multiplicative effect on the hazard function. Strata are typically defined a priori by resorting to the…

统计方法学 · 统计学 2021-03-18 Riccardo Corradin , Luis Enrique Nieto-Barajas , Bernardo Nipoti

We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

应用统计 · 统计学 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

Interval-censored data analysis is important in biomedical statistics for any type of time-to-event response where the time of response is not known exactly, but rather only known to occur between two assessment times. Many clinical trials…

统计方法学 · 统计学 2019-06-12 Weichi Yao , Halina Frydman , Jeffrey S. Simonoff

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

应用统计 · 统计学 2016-01-12 Francisco J. Rubio , Marc G. Genton

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

统计理论 · 数学 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

Ranked set sampling (RSS) is a cost-efficient study design that uses inexpensive baseline ranking to select a more informative subset of individuals for full measurement. While RSS is well known to improve precision over simple random…

统计方法学 · 统计学 2025-12-30 Nabil Awan , Richard J. Chappell

In clinical and epidemiological studies, hazard ratios are often applied to compare treatment effects between two groups for survival data. For competing risks data, the corresponding quantities of interest are cause-specific hazard ratios…

应用统计 · 统计学 2021-12-21 Hongji Wu , Hao Yuan , Zijing Yang , Yawen Hou , Zheng Chen

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

统计方法学 · 统计学 2026-01-12 Saku Suorsa , Aki Vehtari

This paper presents a unified treatment of Gaussian process models that extends to data from the exponential dispersion family and to survival data. Our specific interest is in the analysis of data sets with predictors that have an a priori…

统计方法学 · 统计学 2011-06-17 Terrance Savitsky , Marina Vannucci , Naijun Sha

Popular parametric and semiparametric hazards regression models for clustered survival data are inappropriate and inadequate when the unknown effects of different covariates and clustering are complex. This calls for a flexible modeling…

应用统计 · 统计学 2021-03-16 Piyali Basak , Antonio R. Linero , Debajyoti SInha , Stuart Lipsitz

Survival regression aims to predict the time when an event of interest will take place, typically a death or a failure. A fully parametric method [18] is proposed to estimate the survival function as a mixture of individual parametric…

机器学习 · 计算机科学 2024-04-25 Qinxin Wang , Jiayuan Huang , Junhui Li , Jiaming Liu

In the context of right-censored and interval-censored data we develop asymptotic formulas to compute pseudo-observations for the survival function and the Restricted Mean Survival Time (RMST). Those formulas are based on the original…

统计理论 · 数学 2023-02-07 Olivier Bouaziz

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

统计方法学 · 统计学 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

We consider a prior for nonparametric Bayesian estimation which uses finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

统计理论 · 数学 2015-02-10 Weining Shen , Subhashis Ghosal