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We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine

An important task in clinical medicine is the construction of risk prediction models for specific subgroups of patients based on high-dimensional molecular measurements such as gene expression data. Major objectives in modeling…

Methodology · Statistics 2020-03-23 Katrin Madjar , Jörg Rahnenführer

The Cox regression model and its associated hazard ratio (HR) are frequently used for summarizing the effect of treatments on time to event outcomes. However, the HR's interpretation strongly depends on the assumed underlying survival…

Methodology · Statistics 2021-08-10 Pablo Martinez-Camblor , Todd A. MacKenzie , A. James O'Malley

In adaptive clinical trials, the conventional confidence interval (CI) for a treatment effect is prone to undesirable properties such as undercoverage and potential inconsistency with the final hypothesis testing decision. Accordingly, as…

INTRODUCTION: Wald's, the likelihood ratio (LR) and Rao's score tests and their corresponding confidence intervals (CIs), are the three most common estimators of parameters of Generalized Linear Models. On finite samples, these estimators…

Methodology · Statistics 2021-03-19 André Gillibert , Jacques Bénichou , Bruno Falissard

Standard random-effects meta-analysis methods perform poorly when applied to few studies only. Such settings however are commonly encountered in practice. It is unclear, whether or to what extent small-sample-size behaviour can be improved…

Methodology · Statistics 2019-01-15 Svenja E. Seide , Christian Röver , Tim Friede

Analysing subgroups defined by biomarkers is of increasing importance in clinical research. In some situations the biomarker is subject to misclassification error, meaning the true subgroups are identified with imperfect sensitivity and…

Methodology · Statistics 2018-01-16 Fang Wan , Andrew C. Titman , Thomas F. Jaki

In causal inference, the Inverse Probability Weighting (IPW) estimator is commonly used to estimate causal effects for estimands within the class of Weighted Average Treatment Effect (WATE). When constructing confidence intervals (CIs),…

Methodology · Statistics 2023-12-14 Shunichiro Orihara

Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of smoothing has not been considered for…

Statistics Theory · Mathematics 2008-10-24 Jian-Jian Ren

The treatment effects of the same therapy observed from multiple clinical trials can often be very different. Yet the patient characteristics accounting for these differences may not be identifiable in real world practice. There needs to be…

Statistics Theory · Mathematics 2015-03-20 Tinghui Yu , Yabing Mai , Sherry Liu , Xiaofei Hu

The semi-parametric Cox proportional hazards regression model has been widely used for many years in several applied sciences. However, a fully parametric proportional hazards model, if appropriately assumed, can often lead to more…

Methodology · Statistics 2020-09-29 Amarnath Nandy , Abhik Ghosh , Ayanendranath Basu , Leandro Pardo

In this paper we address the challenges posed by non-proportional hazards and informative censoring, offering a path toward more meaningful causal inference conclusions. We start from the marginal structural Cox model, which has been widely…

Methodology · Statistics 2023-11-15 Jiyu Luo , Denise Rava , Jelena Bradic , Ronghui Xu

Introduction: estimation of confidence intervals (CIs) of binomial proportions has been reviewed more than once but the directional interpretation, distinguishing the overestimation from the underestimation, was neglected while the sample…

Other Statistics · Statistics 2021-03-22 André Gillibert , Jacques Bénichou , Bruno Falissard

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

Methodology · Statistics 2011-08-03 Xiaoru Wu , Zhiliang Ying

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

Econometrics · Economics 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

Reliable uncertainty quantification is a central challenge in the analysis of modern biomedical data, where complex sources of variability often violate standard modeling assumptions. In generalized linear models (GLMs), confidence…

Methodology · Statistics 2026-05-06 Andrea Panarotto , Riccardo De Santis , Livio Finos

Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

We consider impulse response inference in a locally misspecified vector autoregression (VAR) model. The conventional local projection (LP) confidence interval has correct coverage even when the misspecification is so large that it can be…

Econometrics · Economics 2026-01-14 José Luis Montiel Olea , Mikkel Plagborg-Møller , Eric Qian , Christian K. Wolf

Empirical likelihood serves as a powerful tool for constructing confidence intervals in nonparametric regression and regression discontinuity designs (RDD). The original empirical likelihood framework can be naturally extended to these…

Statistics Theory · Mathematics 2025-04-03 Qin Fang , Shaojun Guo , Yang Hong , Xinghao Qiao

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

Computation · Statistics 2014-08-01 Manuela Cattelan , Nicola Sartori
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