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Regression evaluation has been performed for decades. Some metrics have been identified to be robust against shifting and scaling of the data but considering the different distributions of data is much more difficult to address (imbalance…

Machine Learning · Computer Science 2020-09-14 Mario Michael Krell , Bilal Wehbe

Generalized method of moments estimators based on higher-order moment conditions derived from independent shocks can be used to identify and estimate the simultaneous interaction in structural vector autoregressions. This study highlights…

Econometrics · Economics 2023-10-13 Sascha A. Keweloh

We present an extension of the Kolmogorov-Smirnov (KS) two-sample test, which can be more sensitive to differences in the tails. Our test statistic is an integral probability metric (IPM) defined over a higher-order total variation ball,…

Machine Learning · Statistics 2019-03-26 Veeranjaneyulu Sadhanala , Yu-Xiang Wang , Aaditya Ramdas , Ryan J. Tibshirani

We study prediction-powered conditional inference in the setting where labeled data are scarce, unlabeled covariates are abundant, and a black-box machine-learning predictor is available. The goal is to perform statistical inference on…

Machine Learning · Statistics 2026-03-09 Yang Sui , Jin Zhou , Hua Zhou , Xiaowu Dai

Randomized Controlled Trials (RCTs) may suffer from limited scope. In particular, samples may be unrepresentative: some RCTs over- or under- sample individuals with certain characteristics compared to the target population, for which one…

Methodology · Statistics 2024-03-15 Bénédicte Colnet , Julie Josse , Gaël Varoquaux , Erwan Scornet

Kernel Stein discrepancies (KSDs) measure the quality of a distributional approximation and can be computed even when the target density has an intractable normalizing constant. Notable applications include the diagnosis of approximate MCMC…

Machine Learning · Statistics 2025-06-24 Heishiro Kanagawa , Alessandro Barp , Arthur Gretton , Lester Mackey

In scientific disciplines such as neuroimaging, climatology, and cosmology it is useful to study the uncertainty of excursion sets of imaging data. While the case of imaging data obtained from a single study condition has already been…

Statistics Theory · Mathematics 2025-11-12 Thomas J. Maullin-Sapey , Fabian J. E. Telschow

We introduce a novel distribution-based estimator for the Hurst parameter of log-volatility, leveraging the Kolmogorov-Smirnov statistic to assess the scaling behavior of entire distributions rather than individual moments. To address the…

Mathematical Finance · Quantitative Finance 2026-05-04 Sergio Bianchi , Daniele Angelini

Computer vision systems for automatic image categorization have become accurate and reliable enough that they can run continuously for days or even years as components of real-world commercial applications. A major open problem in this…

Machine Learning · Statistics 2019-10-01 Rémy Sun , Christoph H. Lampert

Central moments and cumulants are often employed to characterize the distribution of data. The skewness and kurtosis are particularly useful for the detection of outliers, the assessment of departures from normally distributed data,…

Instrumentation and Methods for Astrophysics · Physics 2014-03-24 Lorenzo Rimoldini

Inferring the causal effects of time-varying treatments is often hindered by highly variable inverse propensity weights, particularly in settings with limited covariate overlap. Building on the key framework of Imai and Ratkovic (2015), we…

Methodology · Statistics 2025-11-06 Yige Li , María de los Angeles Resa , José R. Zubizarreta

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

Causal inference with time-to-event outcomes is fundamental in various scientific studies. In a static setup with fitted propensity scores, weighted Kaplan-Meier estimation for survival probabilities and weighted Breslow-Peto estimation for…

Methodology · Statistics 2026-05-18 Wenfu Xu , Yi Zhang , Tobias Gerhard , Zhiqiang Tan

In observational causal inference, domain knowledge often leaves multiple covariate adjustments plausible, yet which sets satisfy ignorability is untestable. Different adjustment sets can yield conflicting estimates of the average treatment…

Methodology · Statistics 2026-03-23 Aditya Ghosh , Dominik Rothenhäusler

Method of moment estimators exhibit appealing statistical properties, such as asymptotic unbiasedness, for nonconvex problems. However, they typically require a large number of samples and are extremely sensitive to model misspecification.…

Computation · Statistics 2016-03-30 Dustin Tran , Minjae Kim , Finale Doshi-Velez

This paper focuses on investigating an inexact stochastic model-based optimization algorithm that integrates preconditioning techniques for solving stochastic composite optimization problems. The proposed framework unifies and extends the…

Optimization and Control · Mathematics 2025-12-12 Chenglong Bao , Yancheng Yuan , Shulan Zhu

Many scientific analyses require simultaneous comparison of multiple functionals of an unknown signal at once, calling for multidimensional confidence regions with guaranteed simultaneous frequentist under structural constraints (e.g.,…

Statistics Theory · Mathematics 2025-10-14 Pau Batlle , Pratik Patil , Michael Stanley , Javier Ruiz Lupon , Houman Owhadi , Mikael Kuusela

We introduce a notion of vague convergence for random marked metric measure spaces. Our main result shows that convergence of the moments of order $k \ge 1$ of a random marked metric measure space is sufficient to obtain its vague…

Probability · Mathematics 2024-12-23 Félix Foutel-Rodier

It is well known that the asymptotic variance of sample quantiles can be reduced under heterogeneity relative to the i.i.d. setting. However, asymptotically correct confidence intervals for quantiles are not yet available. We propose a…

Statistics Theory · Mathematics 2026-01-27 John H. J. Einmahl , Yi He

Predict a new response from a covariate is a challenging task in regression, which raises new question since the era of high-dimensional data. In this paper, we are interested in the inverse regression method from a theoretical viewpoint.…

Statistics Theory · Mathematics 2018-07-10 Emilie Devijver , Emeline Perthame