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Time-varying parameter vector autoregression provides a flexible framework to capture structural changes within time series. However, when applied to high-dimensional data, this model encounters challenges of over-parametrization and…

Methodology · Statistics 2025-05-14 Yiyong Luo , Jim E. Griffin

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

Social and Information Networks · Computer Science 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda

We develop a novel asymptotic theory for local polynomial extremum estimators of time-varying parameters in a broad class of nonlinear time series models. We show the proposed estimators are consistent and follow normal distributions in…

Econometrics · Economics 2025-07-25 Dennis Kristensen , Young Jun Lee

In the paper, we consider the problem of link prediction in time-evolving graphs. We assume that certain graph features, such as the node degree, follow a vector autoregressive (VAR) model and we propose to use this information to improve…

Machine Learning · Statistics 2012-09-17 Emile Richard , Stephane Gaiffas , Nicolas Vayatis

Many recent developments in the high-dimensional statistical time series literature have centered around time-dependent applications that can be adapted to regularized least squares. Of particular interest is the lasso, which both serves to…

Methodology · Statistics 2020-10-16 William B. Nicholson , Xiaohan Yan

We propose a vector auto-regressive (VAR) model with a low-rank constraint on the transition matrix. This new model is well suited to predict high-dimensional series that are highly correlated, or that are driven by a small number of hidden…

Statistics Theory · Mathematics 2022-01-17 Pierre Alquier , Karine Bertin , Paul Doukhan , Rémy Garnier

Switching dynamical systems provide a powerful, interpretable modeling framework for inference in time-series data in, e.g., the natural sciences or engineering applications. Since many areas, such as biology or discrete-event systems, are…

Machine Learning · Computer Science 2021-09-30 Lukas Köhs , Bastian Alt , Heinz Koeppl

Learning to Rank (LTR) methods are vital in online economies, affecting users and item providers. Fairness in LTR models is crucial to allocate exposure proportionally to item relevance. Widely used deterministic LTR models can lead to…

Machine Learning · Computer Science 2024-05-21 Ruocheng Guo , Jean-François Ton , Yang Liu , Hang Li

Motivated by the increasing abundance of data describing real-world networks that exhibit dynamical features, we propose an extension of the Exponential Random Graph Models (ERGMs) that accommodates the time variation of its parameters.…

Applications · Statistics 2024-10-17 Domenico Di Gangi , Giacomo Bormetti , Fabrizio Lillo

The analysis of rank ordered data has a long history in the statistical literature across a diverse range of applications. In this paper we consider the Extended Plackett-Luce model that induces a flexible (discrete) distribution over…

Applications · Statistics 2020-02-17 Stephen R. Johnson , Daniel A. Henderson , Richard J. Boys

What factors contribute to the success of national teams in the Men's Ice Hockey World Championships and the Men's Ice Hockey World Junior Championships? This study examines whether hosting the tournament provides a home advantage; the…

Applications · Statistics 2025-05-27 Vladimír Holý

Ranking items based on pairwise comparisons is common, from using match outcomes to rank sports teams to using purchase or survey data to rank consumer products. Statistical inference-based methods such as the Bradley-Terry model, which…

Physics and Society · Physics 2026-01-09 Sebastian Morel-Balbi , Alec Kirkley

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

A multivariate score-driven filter is developed to extract signals from noisy vector processes. By assuming that the conditional location vector from a multivariate Student's t distribution changes over time, we construct a robust filter…

Econometrics · Economics 2022-08-31 Enzo D'Innocenzo , Alessandra Luati , Mario Mazzocchi

In many applications, it is of interest to study trends over time in relationships among categorical variables, such as age group, ethnicity, religious affiliation, political party and preference for particular policies. At each time point,…

Methodology · Statistics 2012-05-15 Tsuyoshi Kunihama , David B. Dunson

This paper investigates a partially linear spatial autoregressive panel data model that incorporates fixed effects, constant and time-varying regression coefficients, and a time-varying spatial lag coefficient. A two-stage least squares…

Statistics Theory · Mathematics 2024-10-15 Lingling Tian , Chuanhua Wei , Mixia Wu

The Plackett--Luce model has been extensively used for rank aggregation in social choice theory. A central statistical question in this model concerns estimating the utility vector that governs the model's likelihood. In this paper, we…

Statistics Theory · Mathematics 2025-05-09 Ruijian Han , Yiming Xu

Recent work has proposed stochastic Plackett-Luce (PL) ranking models as a robust choice for optimizing relevance and fairness metrics. Unlike their deterministic counterparts that require heuristic optimization algorithms, PL models are…

Information Retrieval · Computer Science 2021-07-08 Harrie Oosterhuis