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This survey reviews the existing literature on the most relevant Bayesian inference methods for univariate and multivariate GARCH models. The advantages and drawbacks of each procedure are outlined as well as the advantages of the Bayesian…

统计理论 · 数学 2014-02-04 Audronė Virbickaitė , M. Concepción Ausín , Pedro Galeano

We propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the…

计量经济学 · 经济学 2025-02-07 Ilya Archakov , Peter Reinhard Hansen , Asger Lunde

A plethora of static and dynamic models exist to forecast Value-at-Risk and other quantile-related metrics used in financial risk management. Industry practice tends to favour simpler, static models such as historical simulation or its…

统计方法学 · 统计学 2022-03-11 Carol Alexander , Yang Han

We propose a Bayesian non-parametric approach for modeling the distribution of multiple returns. In particular, we use an asymmetric dynamic conditional correlation (ADCC) model to estimate the time-varying correlations of financial returns…

投资组合管理 · 定量金融 2018-05-10 Audrone Virbickaite , M. Concepción Ausín , Pedro Galeano

Models for financial risk often assume that underlying asset returns are stationary. However, there is strong evidence that multivariate financial time series entail changes not only in their within-series dependence structure, but also in…

统计方法学 · 统计学 2021-03-03 Haeran Cho , Karolos Korkas

We investigate a solution for the problems related to the application of multivariate GARCH models to markets with a large number of stocks by restricting the form of the conditional covariance matrix. The model is a factor model and uses…

综合金融 · 定量金融 2021-12-03 Matthias Raddant , Friedrich Wagner

Matrix-variate time series data are largely available in applications. However, no attempt has been made to study their conditional heteroskedasticity that is often observed in economic and financial data. To address this gap, we propose a…

统计方法学 · 统计学 2023-06-09 Cheng Yu , Dong Li , Feiyu Jiang , Ke Zhu

The realized GARCH framework is extended to incorporate the two-sided Weibull distribution, for the purpose of volatility and tail risk forecasting in a financial time series. Further, the realized range, as a competitor for realized…

风险管理 · 定量金融 2017-07-13 Chao Wang , Qian Chen , Richard Gerlach

This paper proposes an innovative threshold measurement equation to be employed in a Realized-GARCH framework. The proposed framework incorporates a nonlinear threshold regression specification to consider the leverage effect and model the…

风险管理 · 定量金融 2022-11-01 Chao Wang , Richard Gerlach

We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the…

凝聚态物理 · 物理学 2007-05-23 C. Reese , B. Rosenow

We assess the advantage of combining univariate and multivariate portfolio risk forecasts with the aid of forecast reconciliation techniques. In our analyzes, we assume knowledge of portfolio weights, a standard for portfolio risk…

应用统计 · 统计学 2026-04-22 Massimiliano Caporin , Daniele Girolimetto , Emanuele Lopetuso

We introduce a novel multivariate GARCH model with flexible convolution-t distributions that is applicable in high-dimensional systems. The model is called Cluster GARCH because it can accommodate cluster structures in the conditional…

计量经济学 · 经济学 2024-06-12 Chen Tong , Peter Reinhard Hansen , Ilya Archakov

We propose a multivariate GARCH model for non-stationary health time series by modifying the variance of the observations of the standard state space model. The proposed model provides an intuitive way of dealing with heteroskedastic data…

统计方法学 · 统计学 2023-03-16 Zayd Omar , David A. Stephens , Alexandra M. Schmidt , David L. Buckeridge

We propose a new approach to volatility modeling by combining deep learning (LSTM) and realized volatility measures. This LSTM-enhanced realized GARCH framework incorporates and distills modeling advances from financial econometrics, high…

计量经济学 · 经济学 2023-10-18 Chen Liu , Chao Wang , Minh-Ngoc Tran , Robert Kohn

Estimating conditional quantiles of financial time series is essential for risk management and many other applications in finance. It is well-known that financial time series display conditional heteroscedasticity. Among the large number of…

统计方法学 · 统计学 2016-10-25 Yao Zheng , Qianqian Zhu , Guodong Li , Zhijie Xiao

This paper develops and estimates a multivariate affine GARCH(1,1) model with Normal Inverse Gaussian innovations that captures time-varying volatility, heavy tails, and dynamic correlation across asset returns. We generalize the…

计量经济学 · 经济学 2025-05-20 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

The discrete-time GARCH methodology which has had such a profound influence on the modelling of heteroscedasticity in time series is intuitively well motivated in capturing many `stylized facts' concerning financial series, and is now…

统计金融 · 定量金融 2008-12-18 Ross A. Maller , Gernot Müller , Alex Szimayer

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

计量经济学 · 经济学 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

This paper examines volatility in REITs using a multivariate GARCH based model. The Multivariate VAR-GARCH technique documents the return and volatility linkages between REIT sub-sectors and also examines the influence of other US equity…

统计金融 · 定量金融 2011-03-30 John Cotter , Simon Stevenson

It is now widely accepted that volatility models have to incorporate the so-called leverage effect in order to to model the dynamics of daily financial returns.We suggest a new class of multivariate power transformed asymmetric models. It…

统计理论 · 数学 2019-10-17 Yacouba Boubacar Maïnassara , Othman Kadmiri , Bruno Saussereau
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