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Recent FDA guidance on adaptive clinical trial designs defines bias as "a systematic tendency for the estimate of treatment effect to deviate from its true value", and states that it is desirable to obtain and report estimates of treatment…

Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially. This is accomplished by constructing a first approximation to a…

Statistics Theory · Mathematics 2007-06-13 R. C. Weng , D. S. Coad

This work proposes a cooperative strategy that employs deviated pursuit guidance to simultaneously intercept a moving (but not manoeuvring) target. As opposed to many existing cooperative guidance strategies which use estimates of…

Systems and Control · Electrical Eng. & Systems 2024-02-09 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

Probability predictions from binary regressions or machine learning methods ought to be calibrated: If an event is predicted to occur with probability $x$, it should materialize with approximately that frequency, which means that the…

Statistics Theory · Mathematics 2023-01-11 Timo Dimitriadis , Lutz Duembgen , Alexander Henzi , Marius Puke , Johanna Ziegel

Establishing the frequentist properties of Bayesian approaches widens their appeal and offers new understanding. In hypothesis testing, Bayesian model averaging addresses the problem that conclusions are sensitive to variable selection. But…

Methodology · Statistics 2025-05-12 Helen R. Fryer , Nicolas Arning , Daniel J. Wilson

The optimal receiver operating characteristic (ROC) curve, giving the maximum probability of detection as a function of the probability of false alarm, is a key information-theoretic indicator of the difficulty of a binary hypothesis…

Information Theory · Computer Science 2025-06-10 Bruce Hajek , Xiaohan Kang

Prediction of future observations is an important and challenging problem. The two mainstream approaches for quantifying prediction uncertainty use prediction regions and predictive distributions, respectively, with the latter believed to…

Statistics Theory · Mathematics 2022-06-13 Leonardo Cella , Ryan Martin

Diagnostic tests are almost never perfect. Studies quantifying their performance use knowledge of the true health status, measured with a reference diagnostic test. Researchers commonly assume that the reference test is perfect, which is…

Applications · Statistics 2024-08-20 Filip Obradović

This paper raises concerns about the advantages of using statistical significance tests in research assessments as has recently been suggested in the debate about proper normalization procedures for citation indicators. Statistical…

Digital Libraries · Computer Science 2012-09-26 Jesper W. Schneider

Externally controlled trials (ECTs) are increasingly used when randomized controls are infeasible, unethical, or insufficient, including applications in rare diseases, oncology, pediatrics, and post-approval effectiveness research. Although…

We consider the problem of constructing honest confidence intervals (CIs) for a scalar parameter of interest, such as the regression discontinuity parameter, in nonparametric regression based on kernel or local polynomial estimators. To…

Applications · Statistics 2020-04-08 Timothy B. Armstrong , Michal Kolesár

We revisit, in an original and challenging perspective, the problem of testing the null hypothesis that the mode of a directional signal is equal to a given value. Motivated by a real data example where the signal is weak, we consider this…

Statistics Theory · Mathematics 2016-03-24 Davy Paindaveine , Thomas Verdebout

We propose a standardized version of fairness measures for continuous scores with a reasonable interpretation based on the Wasserstein distance. Our measures are easily computable and well suited for quantifying and interpreting the…

Machine Learning · Statistics 2024-08-30 Ann-Kristin Becker , Oana Dumitrasc , Klaus Broelemann

Conformal prediction (CP) has become a cornerstone of distribution-free uncertainty quantification, conventionally evaluated by its coverage and interval length. This work critically examines the sufficiency of these standard metrics. We…

Machine Learning · Statistics 2026-01-30 Yizhou Min , Yizhou Lu , Lanqi Li , Zhen Zhang , Jiaye Teng

Recently, a generalized test approach is proposed by Sadooghi-alvandi et al. (2016) and a fiducial approach is proposed by Xu and Li (2018) to test the equality of coefficients in several regression models with unequal variances. In this…

Methodology · Statistics 2018-10-24 Ali Akbar Jafari

This paper develops inference methods for ratios of deterministic trend slopes in systems of pairs of time series. Hypotheses based on linear cross-equation restrictions are considered with particular interest in tests that trend ratios are…

Econometrics · Economics 2026-03-02 Timothy J. Vogelsang

Causal inference problems often involve continuous treatments, such as dose, duration, or frequency. However, identifying and estimating standard dose-response estimands requires that everyone has some chance of receiving any level of the…

Methodology · Statistics 2026-01-28 Kyle Schindl , Shuying Shen , Edward H. Kennedy

There has been concern in the literature about the methodology of using secondary calibration timepoints when estimating evolutionary divergence dates. Such timepoints are divergence time estimates that have been derived from one molecular…

Populations and Evolution · Quantitative Biology 2010-01-21 David A. Morrison

A new method is proposed for the correction of confidence intervals when the original interval does not have the correct nominal coverage probabilities in the frequentist sense. The proposed method is general and does not require any…

Computation · Statistics 2013-08-30 P. Menendez , Y. Fan , P. H. Garthwaite , S. A. Sisson

Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

Econometrics · Economics 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang
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