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This paper presents a fast algorithm for estimating hidden states of Bayesian state space models. The algorithm is a variation of amortized simulation-based inference algorithms, where a large number of artificial datasets are generated at…

计量经济学 · 经济学 2022-10-14 Ramis Khabibullin , Sergei Seleznev

Simple exponential smoothing is widely used in forecasting economic time series. This is because it is quick to compute and it generally delivers accurate forecasts. On the other hand, its multivariate version has received little attention…

统计计算 · 统计学 2021-03-17 Federico Poloni , Giacomo Sbrana

The Bayesian inversion method demonstrates significant potential for solving inverse problems, enabling both point estimation and uncertainty quantification (UQ). However, Bayesian maximum a posteriori (MAP) estimation may become unstable…

数值分析 · 数学 2025-06-04 Ruibiao Song , Liying Zhang

Variational Bayes (VB), a method originating from machine learning, enables fast and scalable estimation of complex probabilistic models. Thus far, applications of VB in discrete choice analysis have been limited to mixed logit models with…

统计方法学 · 统计学 2020-01-17 Rico Krueger , Prateek Bansal , Michel Bierlaire , Ricardo A. Daziano , Taha H. Rashidi

We propose a Bayesian vector autoregressive (VAR) model for mixed-frequency data. Our model is based on the mean-adjusted parametrization of the VAR and allows for an explicit prior on the 'steady states' (unconditional means) of the…

计量经济学 · 经济学 2019-11-22 Sebastian Ankargren , Måns Unosson , Yukai Yang

Monitoring downside risk and upside risk to the key macroeconomic indicators is critical for effective policymaking aimed at maintaining economic stability. In this paper I propose a parametric framework for modelling and forecasting…

计量经济学 · 经济学 2023-11-21 Andrea Renzetti

Adaptive time series forecasting is essential for prediction under regime changes. Several classical methods assume linear Gaussian state space model (LGSSM) with variances constant in time. However, there are many real-world processes that…

机器学习 · 统计学 2024-02-23 Baptiste Abélès , Joseph de Vilmarest , Olivier Wintemberger

Structural equation models (SEMs) are commonly used to study the structural relationship between observed variables and latent constructs. Recently, Bayesian fitting procedures for SEMs have received more attention thanks to their potential…

统计方法学 · 统计学 2024-07-12 Khue-Dung Dang , Luca Maestrini , Francis K. C. Hui

We present a multivariate stochastic volatility model with leverage, which is flexible enough to recapture the individual dynamics as well as the interdependencies between several assets while still being highly analytically tractable.…

证券定价 · 定量金融 2012-01-23 Johannes Muhle-Karbe , Oliver Pfaffel , Robert Stelzer

This paper develops on-line inference for the multivariate local level model, with the focus being placed on covariance estimation of the innovations. We assess the application of the inverse Wishart prior distribution in this context and…

统计方法学 · 统计学 2013-11-05 K. Triantafyllopoulos

In this paper we perform Bayesian estimation of stochastic volatility models with heavy tail distributions using Metropolis adjusted Langevin (MALA) and Riemman manifold Langevin (MMALA) methods. We provide analytical expressions for the…

统计计算 · 统计学 2015-07-20 Mauricio Zevallos , Loretta Gasco , Ricardo Ehlers

High-dimensional Bayesian variable selection problems are often solved using computationally expensive Markov Chain Montle Carlo (MCMC) techniques. Recently, a Bayesian variable selection technique was developed for continuous data using…

统计计算 · 统计学 2016-05-19 Patrick McDermott , John Snyder , Rebecca Willison

The multinomial probit model is often used to analyze choice behaviour. However, estimation with existing Markov chain Monte Carlo (MCMC) methods is computationally costly, which limits its applicability to large choice data sets. This…

计量经济学 · 经济学 2022-10-18 Rubén Loaiza-Maya , Didier Nibbering

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

Variational Bayes (VB) has been used to facilitate the calculation of the posterior distribution in the context of Bayesian inference of the parameters of nonlinear models from data. Previously an analytical formulation of VB has been…

信号处理 · 电气工程与系统科学 2020-07-06 Michael A. Chappell , Martin S. Craig , Mark W. Woolrich

Bayesian inference for stochastic volatility models using MCMC methods highly depends on actual parameter values in terms of sampling efficiency. While draws from the posterior utilizing the standard centered parameterization break down…

统计方法学 · 统计学 2019-03-08 Gregor Kastner , Sylvia Frühwirth-Schnatter

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of…

计算金融 · 定量金融 2026-04-14 Stéphane Crépey , Noufel Frikha , Azar Louzi

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

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

Non-linear hierarchical models are commonly used in many disciplines. However, inference in the presence of non-nested effects and on large datasets is challenging and computationally burdensome. This paper provides two contributions to…

统计方法学 · 统计学 2021-10-22 Max Goplerud