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Regression plays a key role in many research areas and its variable selection is a classic and major problem. This study emphasizes cost of predictors to be purchased for future use, when we select a subset of them. Its economic aspect is…

统计方法学 · 统计学 2021-03-19 Steven N. MacEachern , Koji Miyawaki

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

统计方法学 · 统计学 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

Impact assessment of natural hazards requires the consideration of both extreme and non-extreme events. Extensive research has been conducted on the joint modeling of bulk and tail in univariate settings; however, the corresponding body of…

统计方法学 · 统计学 2026-03-31 Chenglei Hu , Ben Swallow , Daniela Castro-Camilo

In environmental studies, many data are typically skewed and it is desired to have a flexible statistical model for this kind of data. In this paper, we study a class of skewed distributions by invoking arguments as described by Ferreira…

应用统计 · 统计学 2018-04-06 Indranil Ghosh , Hon Keung Tony Ng

Real-world data is laden with outlying values. The challenge for machine learning is that the learner typically has no prior knowledge of whether the feedback it receives (losses, gradients, etc.) will be heavy-tailed or not. In this work,…

机器学习 · 统计学 2020-12-16 Matthew J. Holland

We study the effects of financial shocks on the United States economy by using a Bayesian structural vector autoregressive (SVAR) model that exploits the non-normalities in the data. We use this method to uniquely identify the model and…

计量经济学 · 经济学 2020-06-08 Olli Palmén

Heavy-tailed metrics are common and often critical to product evaluation in the online world. While we may have samples large enough for Central Limit Theorem to kick in, experimentation is challenging due to the wide confidence interval of…

应用统计 · 统计学 2019-05-23 Jason , Wang , Pauline Burke

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

机器学习 · 统计学 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

In this paper we estimate a Bayesian vector autoregressive model with factor stochastic volatility in the error term to assess the effects of an uncertainty shock in the Euro area. This allows us to treat macroeconomic uncertainty as a…

计量经济学 · 经济学 2018-06-29 Niko Hauzenberger , Maximilian Böck , Michael Pfarrhofer , Anna Stelzer , Gregor Zens

This article proposes a Bayesian approach to regression with a scalar response against vector and tensor covariates. Tensor covariates are commonly vectorized prior to analysis, failing to exploit the structure of the tensor, and resulting…

统计方法学 · 统计学 2015-09-23 Rajarshi Guhaniyogi , Shaan Qamar , David B. Dunson

We propose a large structural VAR which is identified by higher moments without the need to impose economically motivated restrictions. The model scales well to higher dimensions, allowing the inclusion of a larger number of variables. We…

计量经济学 · 经济学 2024-12-24 Jan Prüser

Many popular specifications for Vector Autoregressions (VARs) with multivariate stochastic volatility are not invariant to the way the variables are ordered due to the use of a Cholesky decomposition for the error covariance matrix. We show…

计量经济学 · 经济学 2021-11-16 Joshua C. C. Chan , Gary Koop , Xuewen Yu

We study the asymptotic behaviour of widely used tests for evaluating and comparing predictive accuracy when forecast errors exhibit heavy tails. In particular, when loss differentials have infinite variance, the Diebold-Mariano test…

统计方法学 · 统计学 2026-05-20 Jonas F. Frederiksen , Muneya Matsui , Rasmus S. Pedersen

This work introduces a novel methodology based on finite mixtures of Student-t distributions to model the errors' distribution in linear regression models. The novelty lies on a particular hierarchical structure for the mixture distribution…

统计方法学 · 统计学 2017-11-15 Nívea B. da Silva , Marcos O. Prates , Flávio B. Gonçalves

Heavy-tailed distributions have been studied in statistics, random matrix theory, physics, and econometrics as models of correlated systems, among other domains. Further, heavy-tail distributed eigenvalues of the covariance matrix of the…

机器学习 · 计算机科学 2021-05-25 John Y. Shin

Visual Autoregressive (VAR) models have recently garnered significant attention for their innovative next-scale prediction paradigm, offering notable advantages in both inference efficiency and image quality compared to traditional…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Tong Wang , Guanyu Yang , Nian Liu , Kai Wang , Yaxing Wang , Abdelrahman M Shaker , Salman Khan , Fahad Shahbaz Khan , Senmao Li

Bayesian spatial modeling of heavy-tailed distributions has become increasingly popular in various areas of science in recent decades. We propose a Weibull regression model with spatial random effects for analyzing extreme economic loss.…

应用统计 · 统计学 2019-12-10 Hou-Cheng Yang , Lijiang Geng , Yishu Xue , Guanyu Hu

We propose and analyze a new estimator of the covariance matrix that admits strong theoretical guarantees under weak assumptions on the underlying distribution, such as existence of moments of only low order. While estimation of covariance…

统计理论 · 数学 2018-01-17 Stanislav Minsker , Xiaohan Wei

We propose methods to improve the forecasts from generalized autoregressive score (GAS) models (Creal et. al, 2013; Harvey, 2013) by localizing their parameters using decision trees and random forests. These methods avoid the curse of…

计量经济学 · 经济学 2023-05-31 Andrew J. Patton , Yasin Simsek

This paper compares the accuracy of tail risk forecasts with a focus on including realized skewness and kurtosis in "additive" and "multiplicative" models. Utilizing a panel of 960 US stocks, we conduct diagnostic tests, employ scoring…

计量经济学 · 经济学 2024-09-23 Giampiero Gallo , Ostap Okhrin , Giuseppe Storti