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We propose a novel class of dynamic shrinkage processes for Bayesian time series and regression analysis. Building upon a global-local framework of prior construction, in which continuous scale mixtures of Gaussian distributions are…

统计方法学 · 统计学 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

We propose a new flexible tensor model for multiple-equation regression that accounts for latent regime changes. The model allows for dynamic coefficients and multi-dimensional covariates that vary across equations. We assume the…

统计方法学 · 统计学 2024-07-02 Roberto Casarin , Radu Craiu , Qing Wang

Markov chain Monte Carlo (MCMC) methods are one of the most popular classes of algorithms for sampling from a target probability distribution. A rising trend in recent years consists in analyzing the convergence of MCMC algorithms using…

概率论 · 数学 2025-04-30 Federica Milinanni

Recently there have been exciting developments in Monte Carlo methods, with the development of new MCMC and sequential Monte Carlo (SMC) algorithms which are based on continuous-time, rather than discrete-time, Markov processes. This has…

统计计算 · 统计学 2020-09-29 Paul Fearnhead , Joris Bierkens , Murray Pollock , Gareth O Roberts

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

统计方法学 · 统计学 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn

In this paper, we write the time-varying parameter (TVP) regression model involving K explanatory variables and T observations as a constant coefficient regression model with KT explanatory variables. In contrast with much of the existing…

计量经济学 · 经济学 2021-10-01 Niko Hauzenberger , Florian Huber , Gary Koop , Luca Onorante

We address the problem of parameter estimation for diffusion driven stochastic volatility models through Markov chain Monte Carlo (MCMC). To avoid degeneracy issues we introduce an innovative reparametrisation defined through…

统计方法学 · 统计学 2008-12-02 Konstantinos Kalogeropoulos , Gareth O. Roberts , Petros Dellaportas

In the context of Bayesian inversion for scientific and engineering modeling, Markov chain Monte Carlo sampling strategies are the benchmark due to their flexibility and robustness in dealing with arbitrary posterior probability density…

统计计算 · 统计学 2021-12-07 Han Lu , Mohammad Khalil , Thomas Catanach , Jiefu Chen , Xuqing Wu , Xin Fu , Cosmin Safta , Yueqin Huang

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

机器学习 · 计算机科学 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

Time-varying parameter (TVP) regressions commonly assume that time-variation in the coefficients is determined by a simple stochastic process such as a random walk. While such models are capable of capturing a wide range of dynamic…

计量经济学 · 经济学 2021-03-01 Manfred M. Fischer , Niko Hauzenberger , Florian Huber , Michael Pfarrhofer

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

天体物理仪器与方法 · 物理学 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

We revisit macroeconomic time-varying parameter vector autoregressions (TVP-VARs), whose persistent coefficients may adapt too slowly to large, abrupt shifts such as those during major crises. We explore the performance of an…

计量经济学 · 经济学 2025-12-04 Nicolas Hardy , Dimitris Korobilis

Researchers increasingly wish to estimate time-varying parameter (TVP) regressions which involve a large number of explanatory variables. Including prior information to mitigate over-parameterization concerns has led to many using Bayesian…

计量经济学 · 经济学 2020-02-25 Florian Huber , Gary Koop , Michael Pfarrhofer

Recent work has suggested using Monte Carlo methods based on piecewise deterministic Markov processes (PDMPs) to sample from target distributions of interest. PDMPs are non-reversible continuous-time processes endowed with momentum, and…

机器学习 · 统计学 2024-06-28 Paul Fearnhead , Sebastiano Grazzi , Chris Nemeth , Gareth O. Roberts

We propose a generic Markov Chain Monte Carlo (MCMC) algorithm to speed up computations for datasets with many observations. A key feature of our approach is the use of the highly efficient difference estimator from the survey sampling…

统计方法学 · 统计学 2017-08-03 Matias Quiroz , Mattias Villani , Robert Kohn

In this article we consider Bayesian estimation of static parameters for a class of partially observed McKean-Vlasov diffusion processes with discrete-time observations over a fixed time interval. This problem features several obstacles to…

统计计算 · 统计学 2025-04-23 Ajay Jasra , Amin Wu

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

统计方法学 · 统计学 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

In the first part of this paper we study approximations of trajectories of Piecewise Deter-ministic Processes (PDP) when the flow is not explicit by the thinning method. We also establish a strong error estimate for PDPs as well as a weak…

概率论 · 数学 2022-02-10 Vincent Lemaire , Michèle Thieullen , Nicolas Thomas

We introduce a new Markov-Chain Monte Carlo (MCMC) approach designed for efficient sampling of highly correlated and multimodal posteriors. Parallel tempering, though effective, is a costly technique for sampling such posteriors. Our…

天体物理仪器与方法 · 物理学 2014-10-01 Benjamin Farr , Vicky Kalogera , Erik Luijten

This paper proposes a hierarchical modeling approach to perform stochastic model specification in Markov switching vector error correction models. We assume that a common distribution gives rise to the regime-specific regression…

计量经济学 · 经济学 2019-09-06 Niko Hauzenberger , Florian Huber , Michael Pfarrhofer , Thomas O. Zörner