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This paper proposes dynamic Bayesian regression quantile synthesis (DRQS), a novel method for quantile forecasting within the Bayesian predictive synthesis (BPS) framework designed to combine quantile-specific information from multiple…

Methodology · Statistics 2026-03-13 Genya Kobayashi , Shonosuke Sugasawa , Yuta Yamauchi , Dongu Han

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

Methodology · Statistics 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

We propose a Machine Learning approach for optimal macroeconomic density forecasting in a high-dimensional setting where the underlying model exhibits a known group structure. Our approach is general enough to encompass specific forecasting…

Econometrics · Economics 2024-11-18 Matteo Mogliani , Anna Simoni

Dynamic Bayesian predictive synthesis is a formal approach to coherently synthesizing multiple predictive distributions into a single distribution. In sequential analysis, the computation of the synthesized predictive distribution has…

Methodology · Statistics 2023-08-31 Riku Masuda , Kaoru Irie

We present an econometric framework that adapts tools for scenario analysis, such as variants of conditional forecasts and generalized impulse responses, for use with dynamic nonparametric models. The proposed algorithms are based on…

Econometrics · Economics 2025-12-01 Michael Pfarrhofer , Anna Stelzer

We develop a Bayesian framework for variable selection in linear regression with autocorrelated errors, accommodating lagged covariates and autoregressive structures. This setting occurs in time series applications where responses depend on…

Methodology · Statistics 2025-08-18 Alokesh Manna , Sujit K. Ghosh

We introduce methodology to bridge scenario analysis and model-based risk forecasting, leveraging their respective strengths in policy settings. Our Bayesian framework addresses the fundamental challenge of reconciling judgmental narrative…

Econometrics · Economics 2025-05-09 Tobias Adrian , Domenico Giannone , Matteo Luciani , Mike West

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

Applications · Statistics 2022-01-07 Bohdan M. Pavlyshenko

This paper develops a Bayesian procedure for estimation and forecasting of the volatility of multivariate time series. The foundation of this work is the matrix-variate dynamic linear model, for the volatility of which we adopt a…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

The Bayesian statistical paradigm provides a principled and coherent approach to probabilistic forecasting. Uncertainty about all unknowns that characterize any forecasting problem -- model, parameters, latent states -- is able to be…

We propose a Bayesian framework for fine-tuning large diffusion models with a novel network structure called Bayesian Power Steering (BPS). We clarify the meaning behind adaptation from a \textit{large probability space} to a \textit{small…

Machine Learning · Computer Science 2024-06-07 Ding Huang , Ting Li , Jian Huang

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

Methodology · Statistics 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

Conditional forecasts, i.e. projections of a set of variables of interest on the future paths of some other variables, are used routinely by empirical macroeconomists in a number of applied settings. In spite of this, the existing…

Econometrics · Economics 2024-07-03 Joshua C. C. Chan , Davide Pettenuzzo , Aubrey Poon , Dan Zhu

Forecasting enterprise-wide revenue is critical to many companies and presents several challenges and opportunities for significant business impact. This case study is based on model developments to address these challenges for forecasting…

A robust model for time series forecasting is highly important in many domains, including but not limited to financial forecast, air temperature and electricity consumption. To improve forecasting performance, traditional approaches usually…

Machine Learning · Computer Science 2019-09-19 Long H. Nguyen , Zhenhe Pan , Opeyemi Openiyi , Hashim Abu-gellban , Mahdi Moghadasi , Fang Jin

A hierarchical Bayesian framework is introduced for developing tree-based mixture models for time series, partly motivated by applications in finance and forecasting. At the top level, meaningful discrete states are identified as…

Methodology · Statistics 2025-08-28 Ioannis Papageorgiou , Ioannis Kontoyiannis

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

Methodology · Statistics 2025-02-25 John Zito , Daniel R. Kowal

We develop a novel Bayesian framework for dynamic modeling of mixed frequency data to nowcast quarterly U.S. GDP growth. The introduced framework utilizes foundational Bayesian theory and treats data sampled at different frequencies as…

Methodology · Statistics 2018-06-11 Kenichiro McAlinn