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In the fields of sociology and economics, the modeling of matrix-variate integervalued time series is urgent. However, no prior studies have addressed the modeling of such data. To address this topic, this paper proposes a novel…

Statistics Theory · Mathematics 2025-09-10 Nuo Xu , Kai Yang , Fukang Zhu

Certain theoretical aspects of vector autoregression (VAR) as tools to model economic time series are revised, in particular their capacity to include both short term and long term information. The VAR model, in its error correction form,…

General Finance · Quantitative Finance 2017-06-20 Emiliano Diaz

Vector autoregressions (VARs) are a widely used tool for modelling multivariate time-series. It is common to assume a VAR is stationary; this can be enforced by imposing the stationarity condition which restricts the parameter space of the…

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

Machine Learning · Statistics 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

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

High-dimensional time series are a core ingredient of the statistical modeling toolkit, for which numerous estimation methods are known.But when observations are scarce or corrupted, the learning task becomes much harder.The question is:…

Signal Processing · Electrical Eng. & Systems 2022-05-06 Guillaume Dalle , Yohann de Castro

Many problems in financial engineering involve the estimation of unknown conditional expectations across a time interval. Often Least Squares Monte Carlo techniques are used for the estimation. One method that can be combined with Least…

Computational Finance · Quantitative Finance 2014-04-04 Eric Beutner , Janina Schweizer , Antoon Pelsser

Various statistical analysis methods are studied for years to extract accurate trends of network traffic and predict the future load mainly to allocate required resources. Besides, many stochastic modeling techniques are offered to…

Networking and Internet Architecture · Computer Science 2019-12-30 Doğanalp Ergenç , Ertan Onur

The forecasting of multi-variate time processes through graph-based techniques has recently been addressed under the graph signal processing framework. However, problems in the representation and the processing arise when each time series…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Alberto Natali , Elvin Isufi , Geert Leus

In the data-rich environment, using many economic predictors to forecast a few key variables has become a new trend in econometrics. The commonly used approach is factor augment (FA) approach. In this paper, we pursue another direction,…

Econometrics · Economics 2020-07-21 Zhenzhong Wang , Zhengyuan Zhu , Cindy Yu

Regression with compositional response or covariates, or even regression between parts of a composition, is frequently employed in social sciences. Among other possible applications, it may help to reveal interesting features in time…

Statistics Theory · Mathematics 2016-09-27 Ivo Muller , Karel Hron , Eva Fiserova , Jan Smahaj , Panajotis Cakirpaloglu , Jana Vancakova

We reconstruct a product-level input-output network based on firm-level import-export data of Italian firms. We show that the network has a statistically significant, yet nuanced trophic structure, which is evident at the product level but…

Physics and Society · Physics 2025-05-05 Massimiliano Fessina , Andrea Tacchella , Andrea Zaccaria

Generalized method of moments estimators based on higher-order moment conditions derived from independent shocks can be used to identify and estimate the simultaneous interaction in structural vector autoregressions. This study highlights…

Econometrics · Economics 2023-10-13 Sascha A. Keweloh

A novel spatiotemporal framework using diverse econometric approaches is proposed in this research to analyze relationships among eight economy-wide variables in varying market conditions. Employing Vector Autoregression (VAR) and Granger…

Econometrics · Economics 2025-03-25 Lutfu S. Sua , Haibo Wang , Jun Huang

We propose in this work a new family of kernels for variable-length time series. Our work builds upon the vector autoregressive (VAR) model for multivariate stochastic processes: given a multivariate time series x, we consider the…

Machine Learning · Statistics 2011-01-05 Marco Cuturi , Arnaud Doucet

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Vector autoregressive models characterize a variety of time series in which linear combinations of current and past observations can be used to accurately predict future observations. For instance, each element of an observation vector…

Machine Learning · Statistics 2017-06-27 Eric C. Hall , Garvesh Raskutti , Rebecca Willett

This paper investigates the time-varying impacts of international macroeconomic uncertainty shocks. We use a global vector autoregressive specification with drifting coefficients and factor stochastic volatility in the errors to model six…

Econometrics · Economics 2019-12-18 Michael Pfarrhofer

The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

Applications · Statistics 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

High-dimensional time series data appear in many scientific areas in the current data-rich environment. Analysis of such data poses new challenges to data analysts because of not only the complicated dynamic dependence between the series,…

Methodology · Statistics 2022-06-22 Di Wang , Ruey S. Tsay