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Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

统计金融 · 定量金融 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

统计方法学 · 统计学 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

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

Timely characterizations of risks in economic and financial systems play an essential role in both economic policy and private sector decisions. However, the informational content of low-frequency variables and the results from conditional…

计量经济学 · 经济学 2022-09-07 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

机器学习 · 统计学 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Bayesian On-line Changepoint Detection is extended to on-line model selection and non-stationary spatio-temporal processes. We propose spatially structured Vector Autoregressions (VARs) for modelling the process between changepoints (CPs)…

机器学习 · 统计学 2018-06-07 Jeremias Knoblauch , Theodoros Damoulas

Bayesian filtering for high-dimensional nonlinear stochastic dynamical systems is a fundamental yet challenging problem in many fields of science and engineering. Existing methods face significant obstacles: Gaussian-based filters struggle…

数值分析 · 数学 2025-03-06 Xintong Wang , Xiaofei Guan , Ling Guo , Hao Wu

A multivariate score-driven filter is developed to extract signals from noisy vector processes. By assuming that the conditional location vector from a multivariate Student's t distribution changes over time, we construct a robust filter…

计量经济学 · 经济学 2022-08-31 Enzo D'Innocenzo , Alessandra Luati , Mario Mazzocchi

This article introduces novel and practicable Bayesian factor analysis frameworks that are computationally feasible for moderate to large spatiotemporal data. Previous Bayesian analysis of spatiotemporal data has utilized a Bayesian factor…

统计方法学 · 统计学 2025-02-18 Yifan Cheng , Cheng Li

Vector autoregressive (VAR) models assume linearity between the endogenous variables and their lags. This assumption might be overly restrictive and could have a deleterious impact on forecasting accuracy. As a solution, we propose…

计量经济学 · 经济学 2021-03-10 Florian Huber , Luca Rossini

State-space mixed-frequency vector autoregressions are now widely used for nowcasting. Despite their popularity, estimating such models can be computationally intensive, especially for large systems with stochastic volatility. To tackle the…

计量经济学 · 经济学 2021-12-22 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

机器学习 · 计算机科学 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

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

This paper is considered with joint estimation of state and time-varying noise covariance matrices in non-linear stochastic state space models. We present a variational Bayes and Gaussian filtering based algorithm for efficient computation…

统计方法学 · 统计学 2013-02-05 Simo Särkkä Jouni Hartikainen

Motivated by the application to German interest rates, we propose a timevarying autoregressive model for short and long term prediction of time series that exhibit a temporary non-stationary behavior but are assumed to mean revert in the…

统计方法学 · 统计学 2021-02-23 Christoph Berninger , Almond Stöcker , David Rügamer

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

统计方法学 · 统计学 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

In data science, vector autoregression (VAR) models are popular in modeling multivariate time series in the environmental sciences and other applications. However, these models are computationally complex with the number of parameters…

统计方法学 · 统计学 2022-09-20 Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng

Latent Factor Model (LFM) is one of the most successful methods for Collaborative filtering (CF) in the recommendation system, in which both users and items are projected into a joint latent factor space. Base on matrix factorization…

信息检索 · 计算机科学 2021-05-19 Jiansheng Fang , Xiaoqing Zhang , Yan Hu , Yanwu Xu , Ming Yang , Jiang Liu

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

统计方法学 · 统计学 2026-01-21 Taehee Lee , Jun S. Liu

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…

统计方法学 · 统计学 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi