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The classical vector autoregressive model is a fundamental tool for multivariate time series analysis. However, it involves too many parameters when the number of time series and lag order are even moderately large. This paper proposes to…

统计方法学 · 统计学 2020-11-04 Di Wang , Yao Zheng , Heng Lian , Guodong Li

Motivated by predicting intraday trading volume curves, we consider two spatio-temporal autoregressive models for matrix time series, in which each column may represent daily trading volume curve of one asset, and each row captures…

统计方法学 · 统计学 2025-08-15 Baojun Dou , Jing He , Sudhir Tiwari , Qiwei Yao

Score-based models have recently been introduced as a richer framework to model distributions in high dimensions and are generally more suitable for generative tasks. In score-based models, a generative task is formulated using a parametric…

机器学习 · 计算机科学 2023-02-07 Harsh Mishra , Jurijs Nazarovs , Manmohan Dogra , Sathya N. Ravi

Independent or i.i.d. innovations is an essential assumption in the literature for analyzing a vector time series. However, this assumption is either too restrictive for a real-life time series to satisfy or is hard to verify through a…

统计理论 · 数学 2023-10-12 Yunyi Zhang

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

机器学习 · 计算机科学 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

Contemporary time series data often feature objects connected by a social network that naturally induces temporal dependence involving connected neighbours. The network vector autoregressive model is useful for describing the influence of…

统计方法学 · 统计学 2023-09-18 Weichi Wu , Chenlei Leng

In statistics, researchers use Regression models for data analysis and prediction in many productive sectors (industry, business, academy, etc.). Regression models are mathematical functions representing an approximation of dependent…

应用统计 · 统计学 2020-09-29 Eduardo M. Vasconcelos , Adriano Gouveia de Souza

Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

统计理论 · 数学 2016-06-29 Lionel Barnett , Anil K. Seth

Autoregressive models are a class of generative model that probabilistically predict the next output of a sequence based on previous inputs. The autoregressive sequence is by definition one-dimensional (1D), which is natural for language…

机器学习 · 计算机科学 2024-08-29 Yi Hong Teoh , Roger G. Melko

This paper develops a novel method to estimate firm-specific market-entry thresholds in international economics, allowing fixed costs to vary across firms alongside productivity. Our framework models market entry as an interaction between…

综合经济学 · 经济学 2026-01-15 Peter H. Egger , Yulong Wang

During the last decades particular effort has been directed towards understanding and predicting the relevant state of the business cycle with the objective of decomposing permanent shocks from those having only a transitory impact on real…

应用统计 · 统计学 2014-11-19 Mauro Bernardi , Antonio Di Ruggiero

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

信号处理 · 电气工程与系统科学 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

High-dimensional vector autoregression with measurement error is frequently encountered in a large variety of scientific and business applications. In this article, we study statistical inference of the transition matrix under this model.…

统计方法学 · 统计学 2020-09-18 Xiang Lyu , Jian Kang , Lexin Li

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

应用统计 · 统计学 2016-01-13 Gianluca Rosso

Complex systems, such as brains, markets, and societies, exhibit internal dynamics influenced by external factors. Disentangling delayed external effects from internal dynamics within these systems is often challenging. We propose using a…

统计方法学 · 统计学 2024-07-02 Lucas C. Parra , Aimar Silvan Ortubay , Maximilian Nentwich , Jens Madsen , Behtash Babadi

Empirical researchers increasingly use upstream machine-learning (ML) methods to construct proxies for latent target variables from complex, unstructured data. A naive plug-in use of such proxies in downstream econometric models, however,…

计量经济学 · 经济学 2026-04-14 Lixiong Li

This paper describes a method to estimate a production frontier that satisfies the axioms of monotonicity and concavity in a non-parametric Bayesian setting. An inefficiency term that allows for significant departure from prior…

统计方法学 · 统计学 2015-10-08 José Luis Preciado Arreola , Andrew L. Johnson

Convex regression is a promising area for bridging statistical estimation and deterministic convex optimization. New piecewise linear convex regression methods are fast and scalable, but can have instability when used to approximate…

机器学习 · 计算机科学 2012-06-22 Lauren Hannah , David Dunson

This paper considers a first-order autoregressive panel data model with individual-specific effects and heterogeneous autoregressive coefficients defined on the interval (-1,1], thus allowing for some of the individual processes to have…

计量经济学 · 经济学 2024-06-26 M. Hashem Pesaran , Liying Yang

While artificial neural networks excel in unsupervised learning of non-sparse structure, classical statistical regression techniques offer better interpretability, in particular when sparseness is enforced by $\ell_1$ regularization,…