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We propose a general purpose confidence interval procedure (CIP) for statistical functionals constructed using data from a stationary time series. The procedures we propose are based on derived distribution-free analogues of the $\chi^2$…

统计理论 · 数学 2023-07-18 Ziwei Su , Raghu Pasupathy , Yingchieh Yeh , Peter W. Glynn

The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution conditional on the observed data, the confidence…

统计方法学 · 统计学 2012-05-02 David R. Bickel

Deep learning models often achieve high performance by inadvertently learning spurious correlations between targets and non-essential features. For example, an image classifier may identify an object via its background that spuriously…

机器学习 · 计算机科学 2025-06-19 Guangtao Zheng , Wenqian Ye , Aidong Zhang

The behaviors of various confidence/credible interval constructions are explored, particularly in the region of low statistics where methods diverge most. We highlight a number of challenges, such as the treatment of nuisance parameters,…

数据分析、统计与概率 · 物理学 2015-02-04 Steven D. Biller , Scott M. Oser

We consider after-study statistical inference for sequentially designed experiments wherein multiple units are assigned treatments for multiple time points using treatment policies that adapt over time. Our goal is to provide inference…

机器学习 · 统计学 2025-06-10 Raaz Dwivedi , Katherine Tian , Sabina Tomkins , Predrag Klasnja , Susan Murphy , Devavrat Shah

Longitudinal observational patient data can be used to investigate the causal effects of time-varying treatments on time-to-event outcomes. Several methods have been developed for controlling for the time-dependent confounding that…

统计方法学 · 统计学 2021-10-08 Ruth H. Keogh , Jon Michael Gran , Shaun R. Seaman , Gwyneth Davies , Stijn Vansteelandt

Bootstrapping can produce confidence levels for hypotheses about quadratic regression models - such as whether the U-shape is inverted, and the location of optima. The method has several advantages over conventional methods: it provides…

统计方法学 · 统计学 2012-07-09 Michael Wood

Confidence calibration of classification models is a technique to estimate the true posterior probability of the predicted class, which is critical for ensuring reliable decision-making in practical applications. Existing confidence…

统计方法学 · 统计学 2025-02-19 Jinzong Dong , Zhaohui Jiang , Dong Pan , Haoyang Yu

Out-of-bag error is commonly used as an estimate of generalisation error in ensemble-based learning models such as random forests. We present confidence intervals for this quantity using the delta-method-after-bootstrap and the…

统计方法学 · 统计学 2022-01-28 Samyak Rajanala , Stephen Bates , Trevor Hastie , Robert Tibshirani

The estimation of the extremal dependence structure is spoiled by the impact of the bias, which increases with the number of observations used for the estimation. Already known in the univariate setting, the bias correction procedure is…

统计理论 · 数学 2015-04-03 Anne-Laure Fougères , Laurens de Haan , Cécile Mercadier

Signal processing makes extensive use of point estimators and accompanying error bounds. These work well up until the likelihood function has two or more high peaks. When it is important for an estimator to remain reliable, it becomes…

统计方法学 · 统计学 2025-03-04 Ning Xu , Christopher M. Foster , Jonathan H. Manton

In this paper we introduce randomized $t$-type statistics that will be referred to as randomized pivots. We show that these randomized pivots yield central limit theorems with a significantly smaller magnitude of error as compared to that…

统计方法学 · 统计学 2014-04-24 Miklos Csorgo , Masoud M Nasari

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

统计方法学 · 统计学 2024-05-09 Abigail J. Burdon , Thomas Jaki

Classically, confidence intervals are required to have consistent coverage across all values of the parameter. However, this will inevitably break down if the underlying estimation procedure is biased. For this reason, many efforts have…

统计方法学 · 统计学 2025-08-06 Logan Harris , Patrick Breheny

We propose a method to overcome the usual limitation of current data processing techniques in optical and infrared long-baseline interferometry: most reduction pipelines assume uncorrelated statistical errors and ignore systematics. We use…

天体物理仪器与方法 · 物理学 2019-01-23 Régis Lachaume , Markus Rabus , Andrés Jordán , Rafael Brahm , Tabetha Boyajian , Kaspar von Braun , Jean-Philippe Berger

Attrition in survey and field experiments presents a challenge for social science research. Common approaches to deal with this problem -- such as complete case analysis, multiple imputation, and weighting methods -- rely on strong…

统计方法学 · 统计学 2026-04-13 Xiangyu Song

In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

统计方法学 · 统计学 2026-03-12 Han Lin Shang

We propose a method for estimating disparity confidence intervals in stereo matching problems. Confidence intervals provide complementary information to usual confidence measures. To the best of our knowledge, this is the first method…

计算机视觉与模式识别 · 计算机科学 2024-04-10 Roman Malinowski , Emmanuelle Sarrazin , Loïc Dumas , Emmanuel Dubois , Sébastien Destercke

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

统计方法学 · 统计学 2017-07-06 Michael GB Blum

We analyze different types of simulations that applied researchers can use to assess whether their inference methods reliably control false-positive rates. We show that different assessments involve trade-offs, varying in the types of…

计量经济学 · 经济学 2025-10-03 Bruno Ferman
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