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We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

Statistics Theory · Mathematics 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

Loss-based clustering methods, such as k-means and its variants, are standard tools for finding groups in data. However, the lack of quantification of uncertainty in the estimated clusters is a disadvantage. Model-based clustering based on…

Methodology · Statistics 2020-06-11 Tommaso Rigon , Amy H. Herring , David B. Dunson

Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations of the compounds. The large number of parameters as…

Data Analysis, Statistics and Probability · Physics 2017-08-14 Clemens Kreutz , Andreas Raue , Jens Timmer

This paper introduces a quantile regression estimator for panel data models with individual heterogeneity and attrition. The method is motivated by the fact that attrition bias is often encountered in Big Data applications. For example,…

Econometrics · Economics 2018-08-13 Matthew Harding , Carlos Lamarche

In many data analyses, each measurement may come with a simple yes/no correction; for example, belonging to one of two populations or being contaminated or not. Ignoring such binary effects may bias the results, while accounting for them…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Marcus Högås , Edvard Mörtsell

There has been a recent surge in research on causal panel data models, leading to many new estimators for average causal effects. However, researchers have paid less attention to quantifying the precision of these estimators. This paper…

Econometrics · Economics 2025-11-25 Alexander Almeida , Susan Athey , Guido Imbens , Eva Lestant , Alexia Olaizola

The aim of this work is to provide bounds connecting two probability measures of the same event using R\'enyi $\alpha$-Divergences and Sibson's $\alpha$-Mutual Information, a generalization of respectively the Kullback-Leibler Divergence…

Information Theory · Computer Science 2020-01-20 Amedeo Roberto Esposito , Michael Gastpar , Ibrahim Issa

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

Methodology · Statistics 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

Rating systems are ubiquitous, with applications ranging from product recommendation to teaching evaluations. Confidence intervals for functionals of rating data such as empirical means or quantiles are critical to decision-making in…

Statistics Theory · Mathematics 2019-12-10 Robert Nowak , Ervin Tánczos

This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent…

Econometrics · Economics 2025-04-21 Martin Mugnier

We present a technique for constructing random fields from a set of training samples. The learning paradigm builds increasingly complex fields by allowing potential functions, or features, that are supported by increasingly large subgraphs.…

cmp-lg · Computer Science 2016-08-31 S. Della Pietra , V. Della Pietra , J. Lafferty

Important problems in causal inference, economics, and, more generally, robust machine learning can be expressed as conditional moment restrictions, but estimation becomes challenging as it requires solving a continuum of unconditional…

Machine Learning · Computer Science 2024-02-19 Heiner Kremer , Jia-Jie Zhu , Krikamol Muandet , Bernhard Schölkopf

Collective decision-making is a process by which a group of individuals determines a shared outcome that shapes societal dynamics; from innovation diffusion to organizational choices. A common approach to model these processes is using…

Physics and Society · Physics 2025-04-03 Maciej Doniec , Pratik Mullick , Parongama Sen , Katarzyna Sznajd-Weron

For the normal linear model variable selection problem, we propose selection criteria based on a fully Bayes formulation with a generalization of Zellner's $g$-prior which allows for $p>n$. A special case of the prior formulation is seen to…

Methodology · Statistics 2012-02-24 Yuzo Maruyama , Edward I. George

Betting markets are gaining in popularity. Mean beliefs generally differ from prices in prediction markets. Logarithmic utility is employed to study the risk and return adjustments to prices. Some consequences are described. A modified…

Portfolio Management · Quantitative Finance 2024-12-19 Bernhard K Meister

We study frequentist properties of Bayesian and $L_0$ model selection, with a focus on (potentially non-linear) high-dimensional regression. We propose a construction to study how posterior probabilities and normalized $L_0$ criteria…

Statistics Theory · Mathematics 2021-10-07 David Rossell

Label Proportion Learning (LLP) addresses the classification problem where multiple instances are grouped into bags and each bag contains information about the proportion of each class. However, in practical applications, obtaining precise…

Machine Learning · Computer Science 2025-07-15 Jiahe Qin , Junpeng Li , Changchun Hua , Yana Yang

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time-points). A random response y is…

Methodology · Statistics 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

A generalized Kullback-Leibler relative entropy is introduced starting with the symmetric Jackson derivative of the generalized overlap between two probability distributions. The generalization retains much of the structure possessed by the…

Statistical Mechanics · Physics 2015-05-13 Takuya Yamano

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui