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Vector autoregression (VAR) is a fundamental tool for modeling multivariate time series. However, as the number of component series is increased, the VAR model becomes overparameterized. Several authors have addressed this issue by…

统计方法学 · 统计学 2020-09-09 William B. Nicholson , Ines Wilms , Jacob Bien , David S. Matteson

The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

机器学习 · 统计学 2014-10-30 Fang Han , Huanran Lu , Han Liu

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

统计方法学 · 统计学 2024-02-27 Yao Zheng

The vector autoregression (VAR) has long proven to be an effective method for modeling the joint dynamics of macroeconomic time series as well as forecasting. A major shortcoming of the VAR that has hindered its applicability is its heavy…

应用统计 · 统计学 2017-02-28 William Nicholson , David Matteson , Jacob Bien

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

机器学习 · 统计学 2020-06-11 Jonas Krampe , Efstathios Paparoditis

The R package BigVAR allows for the simultaneous estimation of high-dimensional time series by applying structured penalties to the conventional vector autoregression (VAR) and vector autoregression with exogenous variables (VARX)…

统计计算 · 统计学 2017-02-24 William Nicholson , David Matteson , Jacob Bien

The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

统计方法学 · 统计学 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

Vector autoregressive (VAR) models are widely used for causal discovery and forecasting in multivariate time series analysis. In the high-dimensional setting, which is increasingly common in fields such as neuroscience and econometrics,…

Network modeling of high-dimensional time series data is a key learning task due to its widespread use in a number of application areas, including macroeconomics, finance and neuroscience. While the problem of sparse modeling based on…

统计方法学 · 统计学 2019-03-27 Sumanta Basu , Xianqi Li , George Michailidis

Lasso-type estimators are routinely used to estimate high-dimensional time series models. The theoretical guarantees established for these estimators typically require the penalty level to be chosen in a suitable fashion often depending on…

Vector autoregressive (VAR) models are widely used in practical studies, e.g., forecasting, modelling policy transmission mechanism, and measuring connection of economic agents. To better capture the dynamics, this paper introduces a new…

计量经济学 · 经济学 2021-11-02 Yayi Yan , Jiti Gao , Bin Peng

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

Vector autoregression (VAR) models are widely used to analyze the interrelationship between multiple variables over time. Estimation and inference for the transition matrices of VAR models are crucial for practitioners to make decisions in…

统计方法学 · 统计学 2020-09-22 Ke Zhu , Hanzhong Liu

The objective of transfer learning is to enhance estimation and inference in a target data by leveraging knowledge gained from additional sources. Recent studies have explored transfer learning for independent observations in complex,…

机器学习 · 统计学 2025-04-23 Mingliang Ma Abolfazl Safikhani

This paper proposes a new methodological framework for estimating inferential models with latent variables. It also introduces a new latent variable regression model called LARX: an extension of the ubiquitous autoregressive model with…

计量经济学 · 经济学 2026-01-09 Daniil Bargman

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

统计方法学 · 统计学 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

Recent economic events, including the global financial crisis and COVID-19 pandemic, have exposed limitations in linear Factor Augmented Vector Autoregressive (FAVAR) models for forecasting and structural analysis. Nonlinear dimension…

机器学习 · 统计学 2025-03-07 Yiyong Luo , Brooks Paige , Jim Griffin

While considerable advances have been made in estimating high-dimensional structured models from independent data using Lasso-type models, limited progress has been made for settings when the samples are dependent. We consider estimating…

统计理论 · 数学 2016-03-01 Igor Melnyk , Arindam Banerjee

High dimensional Vector Autoregressions (VAR) have received a lot of interest recently due to novel applications in health, engineering, finance and the social sciences. Three issues arise when analyzing VAR's: (a) The high dimensional…

统计理论 · 数学 2022-11-15 Sagnik Halder , George Michailidis

Vector autoregressive (VAR) models are popularly adopted for modelling high-dimensional time series, and their piecewise extensions allow for structural changes in the data. In VAR modelling, the number of parameters grow quadratically with…

统计方法学 · 统计学 2023-01-23 Haeran Cho , Hyeyoung Maeng , Idris A. Eckley , Paul Fearnhead
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