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We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

Statistics Theory · Mathematics 2017-06-02 Igor L. Kheifets

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

Methodology · Statistics 2025-09-04 Bowen Gang , Trambak Banerjee

We introduce a new approach for comparing the predictive accuracy of two nested models that bypasses the difficulties caused by the degeneracy of the asymptotic variance of forecast error loss differentials used in the construction of…

Econometrics · Economics 2023-10-17 Jean-Yves Pitarakis

Standard inference about a scalar parameter estimated via GMM amounts to applying a t-test to a particular set of observations. If the number of observations is not very large, then moderately heavy tails can lead to poor behavior of the…

Econometrics · Economics 2020-07-15 Ulrich K. Mueller

Pre-validation is a way to build prediction model with two datasets of significantly different feature dimensions. Previous work showed that the asymptotic distribution of the resulting test statistic for the pre-validated predictor…

Methodology · Statistics 2025-05-23 Jing Shang , Sourav Chatterjee , Trevor Hastie , Robert Tibshirani

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

Testing differences between a treatment and control group is common practice in biomedical research like randomized controlled trials (RCT). The standard two-sample t-test relies on null hypothesis significance testing (NHST) via p-values,…

Methodology · Statistics 2020-05-18 Riko Kelter

Violation of the assumptions underlying classical (Gaussian) limit theory often yields unreliable statistical inference. This paper shows that the bootstrap can detect such violations by delivering simple and powerful diagnostic tests that…

Econometrics · Economics 2025-10-09 Giuseppe Cavaliere , Luca Fanelli , Iliyan Georgiev

We revisit the null distribution of the high-dimensional spatial-sign test of Wang et al. (2015) under mild structural assumptions on the scatter matrix. We show that the standardized test statistic converges to a non-Gaussian limit,…

Methodology · Statistics 2026-01-14 Ping Zhao , Long Feng

Various risk-limiting audit (RLA) methods have been developed for instant-runoff voting (IRV) elections. A recent method, AWAIRE, is the first efficient approach that can take advantage of but does not require cast vote records (CVRs).…

Computers and Society · Computer Science 2024-12-03 Alexander Ek , Philip B. Stark , Peter J. Stuckey , Damjan Vukcevic

Motivated by testing for pathogenic diseases we consider a new nonadaptive group testing problem for which: (1) positives occur within a burst, capturing the fact that infected test subjects often come in clusters, and (2) that the test…

Information Theory · Computer Science 2023-04-05 Yun-Han Li , Ryan Gabrys , Jin Sima , Ilan Shomorony , Olgica Milenkovic

The bootstrap, based on resampling, has, for several decades, been a widely used method for computing confidence intervals for applications where no exact method is available and when sample sizes are not large enough to be able to rely on…

Applications · Statistics 2018-08-27 Chris Gotwalt , Li Xu , Yili Hong , William Q. Meeker

Two-sample testing is a fundamental problem in statistics, and many famous two-sample tests are designed to be fully non-parametric. These existing methods perform well with location and scale shifts but are less robust when faced with more…

Methodology · Statistics 2021-10-12 Benjamin Brown , Kai Zhang

This paper provides an entire inference procedure for the autoregressive model under (conditional) heteroscedasticity of unknown form with a finite variance. We first establish the asymptotic normality of the weighted least absolute…

Methodology · Statistics 2018-08-10 Ke Zhu

We use a Stein identity to define a new class of parametric distributions which we call ``independent additive weighted bias distributions.'' We investigate related $L^2$-type discrepancy measures, empirical versions of which not only…

Methodology · Statistics 2023-04-27 Bruno Ebner , Yvik Swan

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

Methodology · Statistics 2021-06-23 Michael Messer

The effectiveness of univariate forecasting models is often hampered by conditions that cause them stress. A model is considered to be under stress if it shows a negative behaviour, such as higher-than-usual errors or increased uncertainty.…

Machine Learning · Computer Science 2024-07-03 Ricardo Inácio , Vitor Cerqueira , Marília Barandas , Carlos Soares

Bayesian hypothesis testing via Bayes factors offers a principled alternative to classical p-value methods in meta-analysis, particularly suited to its cumulative and sequential nature. Unlike commonly reported p-values for standard null…

Methodology · Statistics 2026-04-22 Joris Mulder , Robbie C. M. van Aert

A common problem in health research is that we have a large database with many variables measured on a large number of individuals. We are interested in measuring additional variables on a subsample; these measurements may be newly…

Methodology · Statistics 2022-03-22 Thomas Lumley , Tong Chen

The integrated conditional moment (ICM) test is a classical and widely used method for assessing the adequacy of regression models. Although it performs well in fixed-dimension settings, its behavior changes dramatically when the predictor…

Methodology · Statistics 2026-04-17 Yue Hu , Haiqi Li , Xintao Xia