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A Bayesian non-parametric framework for studying time-to-event data is proposed, where the prior distribution is allowed to depend on an additional random source, and may update with the sample size. Such scenarios are natural, for…

统计方法学 · 统计学 2025-05-06 Martin Bladt , Jorge González Cázares

Heterogeneous treatment effect estimation is critical in oncology, particularly in multi-arm trials with overlapping therapeutic components and long-term survivors. These shared mechanisms pose a central challenge to identifying causal…

统计方法学 · 统计学 2025-10-29 Peter Chang , John Kairalla , Arkaprava Roy

Empirical likelihood is a popular nonparametric statistical tool that does not require any distributional assumptions. In this paper, we explore the possibility of conducting variable selection via Bayesian empirical likelihood. We show…

统计方法学 · 统计学 2022-06-13 Yichen Cheng , Yichuan Zhao

Bayesian nonparametric marginal methods are very popular since they lead to fairly easy implementation due to the formal marginalization of the infinite-dimensional parameter of the model. However, the straightforwardness of these methods…

统计方法学 · 统计学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

Generalized additive models (GAMs) are a well-established statistical tool for modeling complex nonlinear relationships between covariates and a response assumed to have a conditional distribution in the exponential family. In this article,…

统计方法学 · 统计学 2021-03-02 Oswaldo Gressani , Philippe Lambert

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

In this article, we develop nonparametric inference methods for comparing survival data across two samples, which are beneficial for clinical trials of novel cancer therapies where long-term survival is a critical outcome. These therapies,…

统计方法学 · 统计学 2024-09-05 Yi-Cheng Tai , Weijing Wang , Martin T. Wells

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

统计方法学 · 统计学 2022-02-22 Edwin Fong , Brieuc Lehmann

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…

统计方法学 · 统计学 2026-01-28 Martin Bladt , Jorge Yslas

In this article we consider Bayesian parameter inference associated to partially-observed stochastic processes that start from a set B0 and are stopped or killed at the first hitting time of a known set A. Such processes occur naturally…

统计计算 · 统计学 2012-01-19 Ajay Jasra , Nikolas Kantas

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…

统计理论 · 数学 2020-11-26 Emil Aas Stoltenberg

Using an asymmetric Laplace distribution, which provides a mechanism for Bayesian inference of quantile regression models, we develop a fully Bayesian approach to fitting single-index models in conditional quantile regression. In this work,…

统计计算 · 统计学 2015-03-19 Yuao Hua , Robert B. Gramacy , Heng Lian

In this paper we address the problem of Monte Carlo approximation of posterior probability distributions in stochastic kinetic models (SKMs). SKMs are multivariate Markov jump processes that model the interactions among species in…

统计方法学 · 统计学 2014-04-22 Eugenia Koblents , Joaquín Míguez

We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models can be efficiently treated by means of…

统计理论 · 数学 2010-10-11 Gareth O. Roberts , Laura M. Sangalli

In many applications of Bayesian clustering, posterior sampling on the discrete state space of cluster allocations is achieved via Markov chain Monte Carlo (MCMC) techniques. As it is typically challenging to design transition kernels to…

统计计算 · 统计学 2019-06-14 Masoud Asgharian , Martin Lysy , Vahid Partovi Nia

Time to an event of interest over a lifetime is a central measure of the clinical benefit of an intervention used in a health technology assessment (HTA). Within the same trial, multiple end-points may also be considered. For example,…

应用统计 · 统计学 2026-01-13 Nathan Green , Murat Kurt , Andriy Moshyk , James Larkin , Gianluca Baio

Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

统计计算 · 统计学 2021-12-21 Mario Beraha , Riccardo Corradin

This article presents new methodology for sample-based Bayesian inference when data are partitioned and communication between the parts is expensive, as arises by necessity in the context of "big data" or by choice in order to take…

统计方法学 · 统计学 2022-11-01 Marc Box

Analysis of lifetime data from epidemiological studies or destructive testing often involves current status censoring, wherein individuals are examined only once and their event status is recorded only at that specific time point. In…

统计方法学 · 统计学 2024-10-15 Pavithra Hariharan , P. G. Sankaran

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

统计计算 · 统计学 2010-11-15 Jason Wyse , Nial Friel