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Related papers: Multivariate stochastic volatility with Bayesian d…

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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.…

Pricing of Securities · Quantitative Finance 2012-01-23 Johannes Muhle-Karbe , Oliver Pfaffel , Robert Stelzer

We consider a continuous-time stochastic volatility model. The model contains a stationary volatility process, the multivariate density of the finite dimensional distributions of which we aim to estimate. We assume that we observe the…

Statistics Theory · Mathematics 2014-07-08 Bert van Es , Peter Spreij

The recently introduced class of simultaneous graphical dynamic linear models (SGDLMs) defines an ability to scale on-line Bayesian analysis and forecasting to higher-dimensional time series. This paper advances the methodology of SGDLMs,…

Applications · Statistics 2022-06-07 Lutz F. Gruber , Mike West

We introduce a multivariate stochastic volatility model for asset returns that imposes no restrictions to the structure of the volatility matrix and treats all its elements as functions of latent stochastic processes. When the number of…

Machine Learning · Statistics 2017-01-09 P. Dellaportas , A. Plataniotis , M. K. Titsias

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,…

Computation · Statistics 2020-03-12 Gregor Kastner , Florian Huber

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

The accurate prediction of time-changing covariances is an important problem in the modeling of multivariate financial data. However, some of the most popular models suffer from a) overfitting problems and multiple local optima, b) failure…

Methodology · Statistics 2013-06-04 Yue Wu , José Miguel Hernández-Lobato , Zoubin Ghahramani

We develop the methodology and a detailed case study in use of a class of Bayesian predictive synthesis (BPS) models for multivariate time series forecasting. This extends the recently introduced foundational framework of BPS to the…

Methodology · Statistics 2022-06-07 Kenichiro McAlinn , Knut Are Aastveit , Jouchi Nakajima , Mike West

In this paper we introduce a multilevel specification with stochastic volatility for repeated cross-sectional data. Modelling the time dynamics in repeated cross sections requires a suitable adaptation of the multilevel framework where the…

Applications · Statistics 2016-03-08 Silvia Cagnone , Simone Giannerini , Lucia Modugno

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

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

Computation · Statistics 2025-06-03 Yudong Feng , Ashis Gangopadhyay

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

Methodology · Statistics 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

Bayesian inference is developed for matrix-variate dynamic linear models (MV-DLMs), in order to allow missing observation analysis, of any sub-vector or sub-matrix of the observation time series matrix. We propose modifications of the…

Methodology · Statistics 2009-01-27 K. Triantafyllopoulos

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

Statistical Finance · Quantitative Finance 2024-07-01 Andrei Renatovich Batyrov

Local volatility is an important quantity in option pricing, portfolio hedging, and risk management. It is not directly observable from the market; hence calibrations of local volatility models are necessary using observable market data.…

Applications · Statistics 2022-05-18 Kai Yin , Anirban Mondal

Theoretical developments in sequential Bayesian analysis of multivariate dynamic models underlie new methodology for causal prediction. This extends the utility of existing models with computationally efficient methodology, enabling routine…

Methodology · Statistics 2024-06-05 Kevin Li , Graham Tierney , Christoph Hellmayr , Mike West

Correlations between asset returns are important in many financial applications. In recent years, multivariate volatility models have been used to describe the time-varying feature of the correlations. However, the curse of dimensionality…

Statistics Theory · Mathematics 2008-12-02 Ruey S. Tsay

For a Bayesian, real-time forecasting with the posterior predictive distribution can be challenging for a variety of time series models. First, estimating the parameters of a time series model can be difficult with sample-based approaches…

Applications · Statistics 2022-08-08 Taylor R. Brown

Our article considers a regression model with observed factors. The observed factors have a flexible stochastic volatility structure that has separate dynamics for the volatilities and the correlation matrix. The correlation matrix of the…

Other Statistics · Statistics 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn