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Response-biased sampling, in which samples are drawn from a popula- tion according to the values of the response variable, is common in biomedical, epidemiological, economic and social studies. In particular, the complete obser- vations in…

Methodology · Statistics 2016-10-31 Kani Chen , Yuanyuan Lin , Yuan Yao , Chaoxu Zhou

Adaptive experimental design methods are increasingly being used in industry as a tool to boost testing throughput or reduce experimentation cost relative to traditional A/B/N testing methods. This paper shares lessons learned regarding the…

Machine Learning · Computer Science 2022-10-27 Tanner Fiez , Sergio Gamez , Arick Chen , Houssam Nassif , Lalit Jain

One of the most popular class of tests for independence between two random variables is the general class of rank statistics which are invariant under permutations. This class contains Spearman's coefficient of rank correlation statistic,…

Computation · Statistics 2009-02-04 Ehab F. Abd-Elfattah

The scan statistic is by far the most popular method for anomaly detection, being popular in syndromic surveillance, signal and image processing, and target detection based on sensor networks, among other applications. The use of the scan…

Methodology · Statistics 2016-11-28 Ery Arias-Castro , Rui M. Castro , Ervin Tánczos , Meng Wang

Pini and Vantini (2017) introduced the interval-wise testing procedure which performs local inference for functional data defined on an interval domain, where the output is an adjusted p-value function that controls for type I errors. We…

Methodology · Statistics 2023-06-14 Niels Lundtorp Olsen , Alessia Pini , Simone Vantini

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

Statistics Theory · Mathematics 2016-03-02 Lubna Amro , Markus Pauly

This paper develops tests for inequality constraints of nonparametric regression functions. The test statistics involve a one-sided version of $L_p$-type functionals of kernel estimators $(1 \leq p < \infty)$. Drawing on the approach of…

Statistics Theory · Mathematics 2023-08-28 Sokbae Lee , Kyungchul Song , Yoon-Jae Whang

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

By introducing a small set of additional parameters, a probe learns to solve specific linguistic tasks (e.g., dependency parsing) in a supervised manner using feature representations (e.g., contextualized embeddings). The effectiveness of…

Computation and Language · Computer Science 2021-05-31 Zhiyong Wu , Yun Chen , Ben Kao , Qun Liu

We introduce a rigorous and sensitive significance test for hyperuniformity that yields reliable results even from a single sample. Our approach is based on a detailed analysis of the empirical Fourier transform of a stationary point…

Statistics Theory · Mathematics 2026-03-23 Michael A. Klatt , Günter Last , Norbert Henze

We propose using a permutation test to detect discontinuities in an underlying economic model at a known cutoff point. Relative to the existing literature, we show that this test is well suited for event studies based on time-series data.…

Econometrics · Economics 2022-07-12 Federico A. Bugni , Jia Li , Qiyuan Li

The use of principal component methods to analyze functional data is appropriate in a wide range of different settings. In studies of ``functional data analysis,'' it has often been assumed that a sample of random functions is observed…

Statistics Theory · Mathematics 2016-08-16 Peter Hall , Hans-Georg Müller , Jane-Ling Wang

A common problem in genetics is that of testing whether a set of highly dependent gene expressions differ between two populations, typically in a high-dimensional setting where the data dimension is larger than the sample size. Most…

Methodology · Statistics 2015-03-11 Måns Thulin

Measures of local and global spatial association are key tools for exploratory spatial data analysis. Many such measures exist including Moran's $I$, Geary's $C$, and the Getis-Ord $G$ and $G^*$ statistics. A parametric approach to testing…

Methodology · Statistics 2022-05-30 Adam B Kashlak , Weicong Yuan

Permutation tests are a popular choice for distinguishing distributions and testing independence, due to their exact, finite-sample control of false positives and their minimax optimality when paired with U-statistics. However, standard…

Statistics Theory · Mathematics 2025-03-26 Carles Domingo-Enrich , Raaz Dwivedi , Lester Mackey

The null hypothesis of equality of distributions of functional data coming from $K$ samples is considered. The proposed test statistic is multivariate and its components are based on pairwise Cram\'{e}r von Mises comparisons of empirical…

Statistics Theory · Mathematics 2025-04-25 Šárka Hudecová , Daniel Hlubinka , Zdeněk Hlávka

Permutation tests are widely recognized as robust alternatives to tests based on normal theory. Random permutation tests have been frequently employed to assess the significance of variables in linear models. Despite their widespread use,…

Methodology · Statistics 2023-12-29 Leying Guan

We propose a series-based nonparametric specification test for a regression function when data are spatially dependent, the `space' being of a general economic or social nature. Dependence can be parametric, parametric with increasing…

Econometrics · Economics 2022-08-30 Abhimanyu Gupta , Xi Qu

A sharp, distribution free, non-asymptotic result is proved for the concentration of a random function around the mean function, when the randomization is generated by a finite sequence of independent data and the random functions satisfy…

Probability · Mathematics 2023-12-25 Thomas Anton , Sutanuka Roy , Rabee Tourky

Econometric applications with multi-way clustering often feature a small number of effective clusters or heavy-tailed data, making standard cluster-robust and bootstrap inference unreliable in finite samples. In this paper, we develop a…

Methodology · Statistics 2026-01-14 Wenxuan Guo , Panos Toulis , Yuhao Wang