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Information criteria, such as Akaike's information criterion and Bayesian information criterion are often applied in model selection. However, their asymptotic behaviors for selecting geostatistical regression models have not been well…

Statistics Theory · Mathematics 2014-12-03 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

Electricity market prices exhibit extreme volatility, nonlinearity, and non-stationarity, making accurate forecasting a significant challenge. While cutting-edge time series foundation models (TSFMs) effectively capture temporal…

Machine Learning · Computer Science 2026-03-10 Yunzhong Qiu , Binzhu Li , Hao Wei , Shenglin Weng , Chen Wang , Zhongyi Pei , Mingsheng Long , Jianmin Wang

Regression models that go beyond the mean, alongside coherent risk measures, have been important tools in modern data analysis. This paper introduces the innovative concept of Average Quantile Regression (AQR), which is smooth at the…

Statistics Theory · Mathematics 2025-07-01 Rong Jiang , M. C. Jones , Keming Yu , Jiangfeng Wang

We propose a factor network autoregressive (FNAR) model for time series with complex network structures. The coefficients of the model reflect many different types of connections between economic agents ("multilayer network"), which are…

Econometrics · Economics 2025-04-24 Matteo Barigozzi , Giuseppe Cavaliere , Graziano Moramarco

Crossing of fitted conditional quantiles is a prevalent problem for quantile regression models. We propose a new Bayesian modelling framework that penalises multiple quantile regression functions toward the desired non-crossing space. We…

Methodology · Statistics 2025-08-21 David Kohns , Tibor Szendrei

Many economic variables feature changes in their conditional mean and volatility, and Time Varying Vector Autoregressive Models are often used to handle such complexity in the data. Unfortunately, when the number of series grows, they…

Econometrics · Economics 2022-01-19 G. Cubadda , S. Grassi , B. Guardabascio

The optimal fingerprinting method for detection and attribution of climate change is based on a multiple regression where each covariate has measurement error whose covariance matrix is the same as that of the regression error up to a known…

Methodology · Statistics 2025-05-08 Yan Li , Kun Chen , Jun Yan , Xuebin Zhang

The recent results of the BICEP and Keck collaborations have put stringent bounds on many inflationary models, including some well-motivated ones. This is certainly the case when gravity remains described by Einstein's theory up to the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-12 Alberto Salvio

Given a random sample from a multivariate population, estimating the number of large eigenvalues of the population covariance matrix is an important problem in Statistics with wide applications in many areas. In the context of Principal…

Statistics Theory · Mathematics 2020-11-10 Abhinav Chakraborty , Soumendu Sundar Mukherjee , Arijit Chakrabarti

The Akaike information criterion (AIC) is a common tool for model selection. It is frequently used in violation of regularity conditions at parameter space singularities and boundaries. The expected AIC is generally not asymptotically…

Statistics Theory · Mathematics 2022-11-09 Jonathan D. Mitchell , Elizabeth S. Allman , John A. Rhodes

This paper uses a minimum divergence framework to introduce a new way of calculating model weights that can be used to average probabilistic predictions from statistical and machine learning models. The method is general and can be applied…

Machine Learning · Statistics 2026-04-28 Olav Benjamin Vassend

Vector autoregression is an essential tool in empirical macroeconomics and finance for understanding the dynamic interdependencies among multivariate time series. In this study, we expand the scope of vector autoregression by incorporating…

Econometrics · Economics 2023-03-21 Yunyun Wang , Tatsushi Oka , Dan Zhu

Estimation of the average treatment effect (ATE) is a central problem in causal inference. In recent times, inference for the ATE in the presence of high-dimensional covariates has been extensively studied. Among the diverse approaches that…

Statistics Theory · Mathematics 2022-11-01 Kuanhao Jiang , Rajarshi Mukherjee , Subhabrata Sen , Pragya Sur

We develop a Quantile Bayesian Vector Autoregression (QBVAR) to forecast real oil prices across different quantiles of the conditional distribution. The model allows predictor effects to vary across quantiles, capturing asymmetries that…

Econometrics · Economics 2026-04-15 Hilde C. Bjornland , Nicolas Hardy , Dimitris Korobilis

Growth-at-Risk is vital for empirical macroeconomics but is often suspect to quantile crossing due to data limitations. While existing literature addresses this through post-processing of the fitted quantiles, these methods do not correct…

Econometrics · Economics 2025-04-22 Tibor Szendrei , Arnab Bhattacharjee , Mark E. Schaffer

We introduce a new criterion to determine the order of an autoregressive model fitted to time series data. It has the benefits of the two well-known model selection techniques, the Akaike information criterion and the Bayesian information…

Statistics Theory · Mathematics 2016-08-25 Jie Ding , Vahid Tarokh , Yuhong Yang

An innovative method is proposed to construct a quantile dependence system for inflation and money growth. By considering all quantiles and leveraging a novel notion of quantile sensitivity, the method allows the assessment of changes in…

Econometrics · Economics 2023-11-20 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

We propose a regularized factor-augmented vector autoregressive (FAVAR) model that allows for sparsity in the factor loadings. In this framework, factors may only load on a subset of variables which simplifies the factor identification and…

Econometrics · Economics 2019-12-13 Maurizio Daniele , Julie Schnaitmann

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

Methodology · Statistics 2023-03-16 Cheng Peng , Stanislav Uryasev