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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…

统计理论 · 数学 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,…

综合金融 · 定量金融 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,…

机器学习 · 统计学 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…

统计金融 · 定量金融 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:…

信号处理 · 电气工程与系统科学 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…

计算金融 · 定量金融 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…

网络与互联网体系结构 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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,…

计量经济学 · 经济学 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…

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…

物理与社会 · 物理学 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…

计量经济学 · 经济学 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…

计量经济学 · 经济学 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…

机器学习 · 统计学 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…

统计方法学 · 统计学 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…

机器学习 · 统计学 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…

计量经济学 · 经济学 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…

应用统计 · 统计学 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,…

统计方法学 · 统计学 2022-06-22 Di Wang , Ruey S. Tsay