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Vector autogressions (VARs) are widely applied when it comes to modeling and forecasting macroeconomic variables. In high dimensions, however, they are prone to overfitting. Bayesian methods, more concretely shrinkage priors, have shown to…

计量经济学 · 经济学 2025-02-27 Luis Gruber , Gregor Kastner

Large Bayesian vector autoregressions with various forms of stochastic volatility have become increasingly popular in empirical macroeconomics. One main difficulty for practitioners is to choose the most suitable stochastic volatility…

计量经济学 · 经济学 2022-08-30 Joshua C. C. Chan

Successful forecasting models strike a balance between parsimony and flexibility. This is often achieved by employing suitable shrinkage priors that penalize model complexity but also reward model fit. In this note, we modify the stochastic…

计量经济学 · 经济学 2020-05-15 Florian Huber , Michael Pfarrhofer

Conjugate priors allow for fast inference in large dimensional vector autoregressive (VAR) models but, at the same time, introduce the restriction that each equation features the same set of explanatory variables. This paper proposes a…

计量经济学 · 经济学 2020-08-27 Niko Hauzenberger , Florian Huber , Luca Onorante

Time-varying parameter VARs with stochastic volatility are routinely used for structural analysis and forecasting in settings involving a few endogenous variables. Applying these models to high-dimensional datasets has proved to be…

计量经济学 · 经济学 2022-06-20 Joshua C. C. Chan

We address the curse of dimensionality in dynamic covariance estimation by modeling the underlying co-volatility dynamics of a time series vector through latent time-varying stochastic factors. The use of a global-local shrinkage prior for…

统计方法学 · 统计学 2019-08-07 Gregor Kastner

Large Bayesian VARs are now widely used in empirical macroeconomics. One popular shrinkage prior in this setting is the natural conjugate prior as it facilitates posterior simulation and leads to a range of useful analytical results. This…

计量经济学 · 经济学 2021-11-16 Joshua C. C. Chan

Varying coefficient models are useful in applications where the effect of the covariate might depend on some other covariate such as time or location. Various applications of these models often give rise to case-specific prior distributions…

统计方法学 · 统计学 2019-12-05 Maria Franco-Villoria , Massimo Ventrucci , Håvard Rue

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

计量经济学 · 经济学 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

统计方法学 · 统计学 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

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…

计量经济学 · 经济学 2022-01-19 G. Cubadda , S. Grassi , B. Guardabascio

We discuss Bayesian forecasting of increasingly high-dimensional time series, a key area of application of stochastic dynamic models in the financial industry and allied areas of business. Novel state-space models characterizing sparse…

统计方法学 · 统计学 2022-06-07 Zoey Yi Zhao , Meng Xie , Mike West

Bayesian vector autoregressions (BVARs) are the workhorse in macroeconomic forecasting. Research in the last decade has established the importance of allowing time-varying volatility to capture both secular and cyclical variations in…

计量经济学 · 经济学 2023-10-24 Joshua Chan

Survival analysis is an important area of medical research, yet existing models often struggle to balance simplicity with flexibility. Simple models require minimal adjustments but come with strong assumptions, while more flexible models…

统计方法学 · 统计学 2025-08-22 Peter Knaus , Daniel Winkler , Sebastian F. Schoppmann , Gerd Jomrich

We develop a Bayesian vector autoregressive (VAR) model with multivariate stochastic volatility that is capable of handling vast dimensional information sets. Three features are introduced to permit reliable estimation of the model. First,…

统计计算 · 统计学 2020-03-12 Gregor Kastner , Florian Huber

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

机器学习 · 统计学 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

Complex systems are characterized by a huge number of degrees of freedom often interacting in a non-linear manner. In many cases macroscopic states, however, can be characterized by a small number of order parameters that obey stochastic…

数据分析、统计与概率 · 物理学 2012-02-20 David Kleinhans

In supervised learning, training and test datasets are often sampled from distinct distributions. Domain adaptation techniques are thus required. Covariate shift adaptation yields good generalization performance when domains differ only by…

机器学习 · 统计学 2022-01-11 Felipe Maia Polo , Renato Vicente

There is currently an increasing interest in large vector autoregressive (VAR) models. VARs are popular tools for macroeconomic forecasting and use of larger models has been demonstrated to often improve the forecasting ability compared to…

计量经济学 · 经济学 2019-07-03 Sebastian Ankargren , Paulina Jonéus

Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

应用统计 · 统计学 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton
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