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In clinical follow-up studies with a time-to-event end point, the difference in the restricted mean survival time (RMST) is a suitable substitute for the hazard ratio (HR). However, the RMST only measures the survival of patients over a…

Methodology · Statistics 2023-06-27 Zijing Yang , Chengfeng Zhang , Yawen Hou , Zheng Chen

We study the comparison problem of distribution equality between two random samples under a right censoring scheme. To address this problem, we design a series of tests based on energy distance and kernel mean embeddings. We calibrate our…

Methodology · Statistics 2019-12-10 Marcos Matabuena , Oscar Hernan Madrid Padilla

In this paper we study bayesian analysis of Modified Weibull distribution under progressively censored competing risk model. This study is made for progressively censored data. We use deterministic scan Gibbs sampling combined with slice…

Computation · Statistics 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey

A popular setting in medical statistics is a group sequential trial with independent and identically distributed normal outcomes, in which interim analyses of the sum of the outcomes are performed. Based on a prescribed stopping rule, one…

Statistics Theory · Mathematics 2018-04-03 Ben Berckmoes , Anna Ivanova , Geert Molenberghs

Transfer learning is an emerging paradigm for leveraging multiple sources to improve the statistical inference on a single target. In this paper, we propose a novel approach named residual importance weighted transfer learning (RIW-TL) for…

Methodology · Statistics 2024-01-04 Junlong Zhao , Shengbin Zheng , Chenlei Leng

We propose a restricted win probability estimand for comparing treatments in a randomized trial with a time-to-event outcome. We also propose Bayesian estimators for this summary measure as well as the unrestricted win probability. Bayesian…

Methodology · Statistics 2024-11-06 Michelle Leeberg , Xianghua Luo , Thomas A. Murray

Clustered competing risks data are commonly encountered in multicenter studies. The analysis of such data is often complicated due to informative cluster size, a situation where the outcomes under study are associated with the size of the…

Methodology · Statistics 2021-04-26 Wenxian Zhou , Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

Count data often exhibit overdispersion driven by heavy tails or excess zeros, making standard models (e.g., Poisson, negative binomial) insufficient for handling outlying observations. We propose a novel contaminated discrete Weibull (cDW)…

Methodology · Statistics 2025-11-14 Divan A. Burger , Janet van Niekerk , Emmanuel Lesaffre

In this paper, a Bayesian accelerated life testing model is presented. The Weibull distribution is used as the life distribution and the generalised Eyring model as the time transformation function. This is a model that allows for the use…

Methodology · Statistics 2021-11-30 Neill Smit , Lizanne Raubenheimer

We study variance estimation and associated confidence intervals for parameters characterizing genetic effects from genome-wide association studies (GWAS) misspecified mixed model analysis. Previous studies have shown that, in spite of the…

Methodology · Statistics 2021-01-19 Cecilia Dao , Jiming Jiang , Debashis Paul , Hongyu Zhao

Mixed outcome endpoints that combine multiple continuous and discrete components to form co-primary, multiple primary or composite endpoints are often employed as primary outcome measures in clinical trials. There are many advantages to…

Methodology · Statistics 2019-12-12 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

Contemporary sample size calculations for external validation of risk prediction models require users to specify fixed values of assumed model performance metrics alongside target precision levels (e.g., 95% CI widths). However, due to the…

Applications · Statistics 2026-02-13 Mohsen Sadatsafavi , Paul Gustafson , Solmaz Setayeshgar , Laure Wynants , Richard D Riley

Existing approaches to sample size calculations for developing clinical prediction models have focused on ensuring that the expected value of a chosen performance measure meets a pre-specified target. For example, to limit…

Methodology · Statistics 2025-09-18 Menelaos Pavlou , Rumana Z. Omar , Gareth Ambler

The bootstrap, based on resampling, has, for several decades, been a widely used method for computing confidence intervals for applications where no exact method is available and when sample sizes are not large enough to be able to rely on…

Applications · Statistics 2018-08-27 Chris Gotwalt , Li Xu , Yili Hong , William Q. Meeker

Statistical prediction plays an important role in many decision processes such as university budgeting (depending on the number of students who will enroll), capital budgeting (depending on the remaining lifetime of a fleet of systems), the…

Methodology · Statistics 2021-10-14 Qinglong Tian , Daniel J. Nordman , William Q. Meeker

Latent variable models (LVMs) are commonly used in psychology and increasingly used for analyzing brain imaging data. Such studies typically involve a small number of participants (n<100), where standard asymptotic results often fail to…

Methodology · Statistics 2020-06-15 Brice Ozenne , Patrick M. Fisher , Esben Budtz-Jørgensen

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

Methodology · Statistics 2025-08-19 Wenxin Zhang , Mark van der Laan

Performance of neural network models relies on the availability of large datasets with minimal levels of uncertainty. Transfer Learning (TL) models have been proposed to resolve the issue of small dataset size by letting the model train on…

This short note proposes two additive corrections to a pair of relations published in Wan et al. in order to extend them to a small sample size condition. In particular we focus the interest on the possibility to provide an estimate to the…

Applications · Statistics 2023-10-20 Massimo Borelli

Randomized Controlled Trials (RCT) are the current gold standards to empirically measure the effect of a new drug. However, they may be of limited size and resorting to complementary non-randomized data, referred to as observational, is…

Methodology · Statistics 2025-06-11 Ahmed Boughdiri , Julie Josse , Erwan Scornet