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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

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

统计方法学 · 统计学 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

In this study, Bayesian inference is developed for structural vector autoregressive models in which the structural parameters are identified via Markov-switching heteroskedasticity. In such a model, restrictions that are just-identifying in…

计量经济学 · 经济学 2023-11-13 Helmut Lütkepohl , Tomasz Woźniak

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

This paper studies methods for testing and estimating change-points in the covariance structure of a high-dimensional linear time series. The assumed framework allows for a large class of multivariate linear processes (including vector…

统计理论 · 数学 2020-01-14 Ansgar Steland

Principal component analysis (PCA) is a powerful method that can identify patterns in large, complex data sets by constructing low-dimensional order parameters from higher-dimensional feature vectors. There are increasing efforts to use…

介观与纳米尺度物理 · 物理学 2025-11-03 C. J. O. Reichhardt , D. McDermott , C. Reichhardt

We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

统计方法学 · 统计学 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

统计方法学 · 统计学 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

This paper proposes the beta binomial autoregressive moving average model (BBARMA) for modeling quantized amplitude data and bounded count data. The BBARMA model estimates the conditional mean of a beta binomial distributed variable…

统计方法学 · 统计学 2022-08-02 B. G. Palm , F. M. Bayer , R. J. Cintra

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

Modern-day civil, mechanical, and aeronautical structures are transitioning towards a continuous, online, and automated maintenance paradigm in order to ensure increased safety and reliability. The field of structural health monitoring…

信号处理 · 电气工程与系统科学 2022-01-14 Shabbir Ahmed , Fotis Kopsaftopoulos

A novel first-order moving-average model for analyzing time series observed at irregularly spaced intervals is introduced. Two definitions are presented, which are equivalent under Gaussianity. The first one relies on normally distributed…

统计理论 · 数学 2021-05-14 Cesar Ojeda , Wilfredo Palma , Susana Eyheramendy , Felipe Elorrieta

We consider the problem of flexible modeling of higher order Markov chains when an upper bound on the order of the chain is known but the true order and nature of the serial dependence are unknown. We propose Bayesian nonparametric…

统计方法学 · 统计学 2015-10-21 Abhra Sarkar , David B. Dunson

Structural equation models and Bayesian networks have been widely used to analyze causal relations between continuous variables. In such frameworks, linear acyclic models are typically used to model the data-generating process of variables.…

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

统计力学 · 物理学 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

This paper investigates new ways of estimating and identifying causal, noncausal, and mixed causal-noncausal autoregressive models driven by a non-Gaussian error sequence. We do not assume any parametric distribution function for the…

计量经济学 · 经济学 2022-11-28 Alain Hecq , Daniel Velasquez-Gaviria

Large VARs are increasingly used in structural analysis as a unified framework to study the impacts of multiple structural shocks simultaneously. However, the concurrent identification of multiple shocks using sign and ranking restrictions…

计量经济学 · 经济学 2025-03-27 Joshua Chan , Christian Matthes , Xuewen Yu

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

计算工程、金融与科学 · 计算机科学 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

The shocks which hit macroeconomic models such as Vector Autoregressions (VARs) have the potential to be non-Gaussian, exhibiting asymmetries and fat tails. This consideration motivates the VAR developed in this paper which uses a Dirichlet…

计量经济学 · 经济学 2023-05-29 Florian Huber , Gary Koop

This paper presents a novel method for structural data recognition using a large number of graph models. In general, prevalent methods for structural data recognition have two shortcomings: 1) Only a single model is used to capture…

机器学习 · 计算机科学 2020-04-15 Tomo Miyazaki , Shinichiro Omachi