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Bayesian model selection poses two main challenges: the specification of parameter priors for all models, and the computation of the resulting Bayes factors between models. There is now a large literature on automatic and objective…

Methodology · Statistics 2016-08-11 Leonhard Held , Daniel Sabanés Bové , Isaac Gravestock

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

A common problem in many disciplines is the need to assign a set of items into categories or classes with known labels. This is often done by one or more expert raters, or sometimes by an automated process. If these assignments or `ratings'…

Methodology · Statistics 2024-01-11 Jeffrey M. Pullin , Lyle C. Gurrin , Damjan Vukcevic

Randomized benchmarking (RB) protocols are standard tools for characterizing quantum devices. Prior analyses of RB protocols have not provided a complete method for analyzing realistic data, resulting in a variety of ad-hoc methods. The…

Quantum Physics · Physics 2018-02-02 Ian Hincks , Joel J. Wallman , Chris Ferrie , Chris Granade , David G. Cory

In this paper we describe the main featuress of the Bergm package for the open-source R software which provides a comprehensive framework for Bayesian analysis for exponential random graph models: tools for parameter estimation, model…

Computation · Statistics 2014-01-29 Alberto Caimo , Nial Friel

1. Understanding the mechanisms underlying biological systems, and ultimately, predicting their behaviours in a changing environment requires overcoming the gap between mathematical models and experimental or observational data.…

Quantitative Methods · Quantitative Biology 2017-04-19 Philipp H Boersch-Supan , Sadie J Ryan , Leah R Johnson

We propose a method to quantify uncertainty around individual survival distribution estimates using right-censored data, compatible with any survival model. Unlike classical confidence intervals, the survival bands produced by this method…

Methodology · Statistics 2025-12-18 Matteo Sesia , Vladimir Svetnik

Survival analysis is a hotspot in statistical research for modeling time-to-event information with data censorship handling, which has been widely used in many applications such as clinical research, information system and other fields with…

Machine Learning · Computer Science 2018-11-14 Kan Ren , Jiarui Qin , Lei Zheng , Zhengyu Yang , Weinan Zhang , Lin Qiu , Yong Yu

The aim of survival analysis in healthcare is to estimate the probability of occurrence of an event, such as a patient's death in an intensive care unit (ICU). Recent developments in deep neural networks (DNNs) for survival analysis show…

It is well known in the literature that the problem of learning the structure of Bayesian networks is very hard to tackle: its computational complexity is super-exponential in the number of nodes in the worst case and polynomial in most…

Computation · Statistics 2017-04-14 Marco Scutari

Background and Objectives: Longitudinal data are increasingly collected in clinical trials to provide information on treatment action and disease evolution. The trajectory of continuous biomarkers such as target hormone concentrations or…

Methodology · Statistics 2026-03-04 Emmanuelle Comets , Maud Delattre , Belhal Karimi

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

Computation · Statistics 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn

Traditional applications of latent class models (LCMs) often focus on scenarios where a set of unobserved classes are well-defined and easily distinguishable. However, in numerous real-world applications, these classes are weakly separated…

Computation · Statistics 2023-09-21 Mengbing Li , Bolin Wu , Briana Stephenson , Zhenke Wu

We introduce random survival forests, a random forests method for the analysis of right-censored survival data. New survival splitting rules for growing survival trees are introduced, as is a new missing data algorithm for imputing missing…

Applications · Statistics 2008-11-12 Hemant Ishwaran , Udaya B. Kogalur , Eugene H. Blackstone , Michael S. Lauer

Restricted mean survival time (RMST) offers a compelling nonparametric alternative to hazard ratios for right-censored time-to-event data, particularly when the proportional hazards assumption is violated. By capturing the total event-free…

Methodology · Statistics 2025-01-28 Jinghao Sun , Douglas E. Schaubel , Eric J. Tchetgen Tchetgen

In all areas of human knowledge, datasets are increasing in both size and complexity, creating the need for richer statistical models. This trend is also true for economic data, where high-dimensional and nonlinear/nonparametric inference…

Econometrics · Economics 2021-12-23 Dimitris Korobilis , Kenichi Shimizu

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…

Methodology · Statistics 2021-11-17 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

Disaggregation modelling, or downscaling, has become an important discipline in epidemiology. Surveillance data, aggregated over large regions, is becoming more common, leading to an increasing demand for modelling frameworks that can deal…

Computation · Statistics 2020-01-15 Anita K. Nandi , Tim C. D. Lucas , Rohan Arambepola , Peter Gething , Daniel J. Weiss

We illustrate the use of the R-package "rstiefel" for matrix-variate data analysis in the context of two examples. The first example considers estimation of a reduced-rank mean matrix in the presence of normally distributed noise. The…

Computation · Statistics 2013-04-15 Peter D. Hoff

Reliable tools and software for penetrance (age-specific risk among those who carry a genetic variant) estimation are critical to improving clinical decision making and risk assessment for hereditary syndromes. We introduce penetrance, an…

Computation · Statistics 2025-03-28 Nicolas Kubista , Danielle Braun , Giovanni Parmigiani