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Panel data of our interest consist of a moderate or relatively large number of panels, while the panels contain a small number of observations. This paper establishes testing procedures to detect a possible common change in means of the…

Statistics Theory · Mathematics 2016-08-07 Barbora Peštová , Michal Pešta

This paper studies a class of linear panel models with random coefficients. We do not restrict the joint distribution of the time-invariant unobserved heterogeneity and the covariates. We investigate identification of the average partial…

Econometrics · Economics 2022-11-21 Louise Laage

We consider the Anderson-Rubin (AR) statistic for a general set of nonlinear moment restrictions. The statistic is based on the criterion function of the continuous updating estimator (CUE) for a subset of parameters not constrained under…

Econometrics · Economics 2025-07-03 Atsushi Inoue , Òscar Jordà , Guido M. Kuersteiner

It is commonly accepted that some phenomena are social: for example, individuals' smoking habits often correlate with those of their peers. Such correlations can have a variety of explanations, such as direct contagion or shared…

Statistics Theory · Mathematics 2025-08-08 William W. Wang , Ali Jadbabaie

Peer prediction mechanisms are typically proposed and analyzed under the assumption that the report and signal spaces are identical. In practice, however, agents often observe richer information which they then map to a coarser report…

Computer Science and Game Theory · Computer Science 2026-03-27 Rafael Frongillo , Ian Kash , Mary Monroe

We develop a new statistical procedure to test whether the dependence structure is identical between two groups. Rather than relying on a single index such as Pearson's correlation coefficient or Kendall's Tau, we consider the entire…

Econometrics · Economics 2018-11-07 Juwon Seo

Peer influence on effort devoted to some activity is often studied when effort is unobserved, and the researcher instead observes an outcome that combines effort with other shocks. For instance, in education, achievement measures such as…

Econometrics · Economics 2026-04-22 Aristide Houndetoungan , Cristelle Kouame , Michael Vlassopoulos

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

Methodology · Statistics 2026-05-07 Charl Pretorius , Heinrich Roodt

In recommender systems, users rate items, and are subsequently served other product recommendations based on these ratings. Even though users usually rate a tiny percentage of the available items, the system tries to estimate unobserved…

Social and Information Networks · Computer Science 2024-06-21 Benjamin Leinwand , Vladas Pipiras

We introduce kernel nonparametric tests for Lancaster three-variable interaction and for total independence, using embeddings of signed measures into a reproducing kernel Hilbert space. The resulting test statistics are straightforward to…

Methodology · Statistics 2013-06-11 Dino Sejdinovic , Arthur Gretton , Wicher Bergsma

Inference of instrumental variable regression models with many weak instruments attracts many attentions recently. To extend the classical Anderson-Rubin test to high-dimensional setting, many procedures adopt ridge-regularization. However,…

Methodology · Statistics 2025-04-30 Jiarong Ding , Xu Guo , Yanmei Shi , Yuxin Wang

This paper provides additional results relevant to the setting, model, and estimators of Auerbach (2019a). Section 1 contains results about the large sample properties of the estimators from Section 2 of Auerbach (2019a). Section 2…

Econometrics · Economics 2021-05-24 Eric Auerbach

This paper presents a novel study of parameter-free attentive scoring for speaker verification. Parameter-free scoring provides the flexibility of comparing speaker representations without the need of an accompanying parametric scoring…

Sound · Computer Science 2023-03-07 Jason Pelecanos , Quan Wang , Yiling Huang , Ignacio Lopez Moreno

Testing the significance of a variable or group of variables $X$ for predicting a response $Y$, given additional covariates $Z$, is a ubiquitous task in statistics. A simple but common approach is to specify a linear model, and then test…

Statistics Theory · Mathematics 2024-05-08 Anton Rask Lundborg , Ilmun Kim , Rajen D. Shah , Richard J. Samworth

This paper proposes a new approach for testing Granger non-causality on panel data. Instead of aggregating panel member statistics, we aggregate their corresponding p-values and show that the resulting p-value approximately bounds the type…

This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The…

Statistics Theory · Mathematics 2012-05-31 G. M. Pan , J. Gao , Y. Yang , M. Guo

Measuring the effect of peers on individuals' outcomes is a challenging problem, in part because individuals often select peers who are similar in both observable and unobservable ways. Group formation experiments avoid this problem by…

Methodology · Statistics 2023-03-09 Guillaume Basse , Peng Ding , Avi Feller , Panos Toulis

We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible nonparametric null model. This provides for the first time an objective measure of whether or not a particular…

Statistics Theory · Mathematics 2016-03-04 Beate Franke , Patrick J. Wolfe

The aim of this work is to implement a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. A class of simple mean field discrete models is introduced and discussed both from the theoretical…

Physics and Society · Physics 2008-11-20 Ignacio Gallo , Adriano Barra , Pierluigi Contucci

This paper develops and implements a nonparametric test of Random Utility Models. The motivating application is to test the null hypothesis that a sample of cross-sectional demand distributions was generated by a population of rational…

Statistics Theory · Mathematics 2018-12-06 Yuichi Kitamura , Jörg Stoye