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For robust statistical inference it is crucial to obtain a good estimator of the variance of the proposed estimator of the statistical estimand. A commonly used estimator of the variance for an asymptotically linear estimator is the sample…

Methodology · Statistics 2025-05-19 Yunwen Ji , Mark van der Laan , Alan Hubbard

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

Methodology · Statistics 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

The one-sample log-rank test is the method of choice for single-arm Phase II trials with time-to-event endpoint. It allows to compare the survival of the patients to a reference survival curve that typically represents the expected survival…

Methodology · Statistics 2026-03-02 Jannik Feld , Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

We investigate a long-debated question, which is how to create predictive models of recidivism that are sufficiently accurate, transparent, and interpretable to use for decision-making. This question is complicated as these models are used…

Machine Learning · Statistics 2020-10-20 Jiaming Zeng , Berk Ustun , Cynthia Rudin

Reconstruction-based inference assigns a class by comparing class-wise reconstruction residuals; Sparse Representation Classification (SRC) is a canonical instance whose reliability depends on the geometry of the learned representation. We…

Machine Learning · Computer Science 2026-05-29 Vangelis P. Oikonomou

The empirical likelihood is a powerful nonparametric tool, that emulates its parametric counterpart -- the parametric likelihood -- preserving many of its large-sample properties. This article tackles the problem of assessing the…

Methodology · Statistics 2023-05-29 Duc-Khanh To , Gianfranco Adimari , Monica Chiogna

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

Risk stratification is most directly and informatively summarized as a risk distribution curve. From this curve the ROC curve, predictiveness curve, and other curves depicting risk stratification can be derived, demonstrating that they…

Quantitative Methods · Quantitative Biology 2009-12-17 Ralph Stern

Learning curves are a measure for how the performance of machine learning models improves given a certain volume of training data. Over a wide variety of applications and models it was observed that learning curves follow -- to a large…

Machine Learning · Computer Science 2023-10-13 Laura Didyk , Brayden Yarish , Michael A. Beck , Christopher P. Bidinosti , Christopher J. Henry

The receiver operating characteristic (ROC) curve and its summary measure, the Area Under the Curve (AUC), are well-established tools for evaluating the efficacy of biomarkers in biomedical studies. Compared to the traditional ROC curve,…

Methodology · Statistics 2025-10-20 Ziad Akram Ali Hammouri , Yating Zou , Rahul Ghosal , Juan C. Vidal , Marcos Matabuena

When evaluating medical tests or biomarkers for disease classification, the area under the receiver-operating characteristic (ROC) curve is a widely used performance metric that does not require us to commit to a specific decision…

Methodology · Statistics 2013-10-21 Wanhua Su , Yan Yuan , Mu Zhu

Logistic regression models are a popular and effective method to predict the probability of categorical response data. However inference for these models can become computationally prohibitive for large datasets. Here we adapt ideas from…

Methodology · Statistics 2020-08-25 Tom Whitaker , Boris Beranger , Scott A. Sisson

The Receiver Operating Characteristic (ROC) is a well-established representation of the tradeoff between detection and false alarm probabilities in binary hypothesis testing. In many practical contexts ROC's are generated by thresholding a…

Statistics Theory · Mathematics 2020-12-16 Catherine Medlock , Alan Oppenheim

Accurate diagnosis of disease is of great importance in clinical practice and medical research. The receiver operating characteristic (ROC) surface is a popular tool for evaluating the discriminatory ability of continuous diagnostic test…

Methodology · Statistics 2018-05-22 Vanda Inacio de Carvalho , Miguel de Carvalho , Adam Branscum

A new semiparametric model of the ROC curve based on the resilience family or proportional reversed hazard family is proposed which is an alternative to the existing models. The resulting ROC curve and its summary indices (such as area…

Methodology · Statistics 2022-03-28 Ruhul Ali Khan

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

Econometrics · Economics 2026-01-16 Jizhou Liu

In this paper we focus on comparative diagnostic trials which are frequently employed to compare two markers with continuous or ordinal results. We derive explicit expressions for the optimal sampling ratio based on a common variance…

Applications · Statistics 2012-06-19 Ting Dong , Liansheng Larry Tang , William F. Rosenberger

The predictiveness curve is a valuable tool for predictive evaluation, risk stratification, and threshold selection in a target population, given a single biomarker or a prediction model. In the presence of competing risks, regression…

Methodology · Statistics 2025-08-04 Wei Tao , Jing Ning , Wen Li , Wenyaw Chan , Xi Luo , Ruosha Li

Paired comparison models are used for analyzing data that involves pairwise comparisons among a set of objects. When the outcomes of the pairwise comparisons have no ties, the paired comparison models can be generalized as a class of binary…

Methodology · Statistics 2022-11-29 Ran Huo , Mark E. Glickman

The Receiver Operating Characteristic (ROC) surface is a generalization of ROC curve and is widely used for assessment of the accuracy of diagnostic tests on three categories. A complication called the verification bias, meaning that not…

Applications · Statistics 2018-03-20 Rui Zhu , Subhashis Ghosal